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== {{pill|Resources|#8f8|#8fa}} ==
{{pill|⚠ Work in progress|#fa8|#fc8|s=1.2}}
{{pill|⚠ Contains logic|#fa8|#fc8|s=1.2}}
 
== <div style="background:linear-gradient(45deg,#8f8,#8fa,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">Resources</div> ==


<div style="columns:28rem;">
<div style="columns:28rem;">
Line 22: Line 25:
* '''[[Template:HCard]]'''
* '''[[Template:HCard]]'''
</div>
</div>
== <div style="background:linear-gradient(45deg,#aff,#cfd,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">Interpretation</div> ==
In order to play cooperatively, we need to mark playable cards to get them to play at the correct time.
To maximise cooperation, we need to be able to predict the possible moves of other players.
The cost of being able to predict moves is to limit the number of moves<!-- from [[#Back_to_basics 9]] to just 4:
# Play the leftmost unmarked card (or another unmarked slot if mid-layer)
# Play a marked card
#* and only when they don't have to do #1 or #3
# clue something
#* and only when they don't have to do #1 or #2
# discard rightmost unmarked card
#* and only when they don't have to do #1, #2 or #3
*When we give someone a clue, we are communicating something about the cards of their hand.-->
*If a card is playable, logically we assume it will be marked by a clue before it is discarded (unless there is another copy visible).
<!--
{{InfoBoxes |state=collapsed
|title1=Name that move #1
|body1=
Alice clues Cathy {{HBack|2|n=}}
* Bob plays {{hw|1}}
* {{hw|1}} '''connects''' to {{HBack|2|n=}}, so Cathy plays {{HBack|2|n=}} as {{hw|2}}.
|title2=Answer
|body2=Finesse obvs
}}
{{InfoBoxes |state=collapsed
|title1=Name that move #2
|body1=
Alice clues Cathy {{hr|2|n=}}
* Bob plays {{hw|1}}
* {{hw|1}} '''connects''' to {{HBack|2|n=}}, '''but''' there is another 1 layered behind it in a playable position.
* Cathy *does not play {{HBack|2|n=}}, but '''discards''' or clues something unrelated.
* Alice does something unrelated.
* {{hw|1}} does not connect to {{hr|2|n=}} and Cathy could have bombed {{hr|2}} as {{hw|2}} '''unless''' Bob really has {{hr|1}}.
* Bob plays slot 2 as {{hr|1}}. {{hg|2}} successfully plays.
* Cathy now knows to wait for {{hr|1}} to play before playing {{HBack|2|n=}} as {{hr|2}}.
|title2=Answer
|body2=Layered Finesse
}}
{{InfoBoxes |state=collapsed
|title1=Name that move #3
|body1=
* Alice clues Cathy {{HBack|2|n=}}
* Bob plays {{hr|2}}
* {{hr|2}} '''cannot connect''' to {{HBack|2|n=}}, end of responses.
|title2=Answer
|body2=Bluff
}}
-->
{|class="wikitable"
|+Valid clue types (not exhaustive)
!Situation
!Response
!colspan=3|Receiver's Interpretation
!style=width:300px|Clue type
|-
|Alice clues {{card|2}} to Cathy:
{{cardholder|{{hb|5}}{{hk}}{{hb|1|n=}}{{hk}} |Bob 🡲}}
{{cardholder|{{hBack|2|n=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|Bob plays {{hb|1|n=}}
|connects to {{hBack|2|n=}}
|style=text-align:right;|🟰
|{{cardholder|{{hb|2|n=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|{{text|c=#324|w=bold|Prompt}}:
* {{text|c=#324|1 marked play connects to the target}}
|-
|Alice clues {{card|2}} to Cathy:
{{cardholder|{{hb|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hBack|2|n=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|Bob plays {{hb|1}}
|connects to {{hBack|2|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|2|n=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|{{text|c=#080|w=bold|Finesse}}:
* {{text|c=#080|1 unmarked play connects to the target}}
|-
|Alice clues {{card|b|background={{b}}|color=white}} to Cathy:
{{cardholder|{{hb|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hBack|2|{{b}}|c=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|Bob plays {{hr|1}}
|as {{hb|1}}
|style=text-align:right|🟰
|{{cardholder|{{hb|2|c=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|{{text|c=#800|w=bold|Bluff}}:
* {{text|c=#800|1 unmarked play doesn't connect to the target}}
⚠ All bluff targets must be one card away from playable
|-
|rowspan=2|Alice clues {{card|3}} to Donald:
{{cardholder|{{hr|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hb|2|c=}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hBack|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|Bob plays {{hb|1}}
|connects to {{hBack|3|n=}}
|style=text-align:right|➕{{cardholder|{{hb|2}} |Cathy}}🟰
|{{cardholder|{{hb|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|rowspan=2| {{text|c=#080|w=bold|Long Finesse}}:
* {{text|c=#080|Multiple unmarked plays connect to the target}}
|-
|Cathy plays {{hb|2}}
|connects to {{hb|3|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|-
|rowspan=2|Alice clues {{card|3}} to Donald:
{{cardholder|{{hb|5}}{{hk}}{{hb|1}}{{hk}} |Bob 🡲}}
{{cardholder|{{hb|2}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hBack|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|Bob plays {{hb|1}}
|connects to {{hBack|3|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|3|n=}}{{hb|2}}{{hBack}}{{hBack}} |Donald 🡲}}
|rowspan=2|{{text|c=#324|w=bold|Prompt}} + {{text|c=#080|w=bold|Finesse}}:
* {{text|c=#324|1 marked play connects to the target}}
* {{text|c=#800|1 unmarked play connects to the target}}
|-
|Cathy plays {{hr|1}}
|as {{hb|2}}
|style=text-align:right|➖ {{hb|2}} 🟰
|{{cardholder|{{hb|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|-
|rowspan=2|Alice clues {{card|3}} to Donald:
{{cardholder|{{hb|5}}{{hk}}{{hb|1|n=}}{{hk}} |Bob 🡲}}
{{cardholder|{{hr|1}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hBack|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|Bob plays {{hb|1|n=}}
|connects to {{hBack|3|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|3|n=}}{{hb|2}}{{hBack}}{{hBack}} |Donald 🡲}}
|rowspan=2|{{text|c=#324|w=bold|Prompt}} + {{text|c=#800|w=bold|Bluff}}:
* {{text|c=#324|1 marked play connects to the target}}
* {{text|c=#800|1 unmarked play doesn't connect to the target}}
⚠ This clue type is dangerous because Bob may not cooperate and try to bluff {{hr|1}} himself before responding to {{Hb|3|n=}}.
|-
|Cathy plays {{hr|1}}
|as {{hb|2}}
|style=text-align:right|➖ {{hb|2}} 🟰
|{{cardholder|{{hb|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|-
|rowspan=2|Alice clues {{card|3}} to Donald:
{{cardholder|{{hb|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hr|1}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hBack|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|Bob plays {{hb|1}}
|connects to {{hBack|3|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|3|n=}}{{hb|2}}{{hBack}}{{hBack}} |Donald 🡲}}
|rowspan=2|{{text|c=#080|w=bold|Finesse}} + {{text|c=#800|w=bold|Bluff}}:
* {{text|c=#080|1 unmarked play connects to the target}}
* {{text|c=#800|1 unmarked play doesn't connect to the target}}
|-
|Cathy plays {{hr|1}}
|as {{hb|2}}
|style=text-align:right|➖ {{hb|2}} 🟰
|{{cardholder|{{hb|3|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|-
|Alice clues {{card|b|background={{b}}|color=white}} to Donald:
{{cardholder|{{hr|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hb|2}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hBack|3|{{b}}|c=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|Bob plays {{hr|1}}
|as {{hb|1}}
|style=text-align:right|➕{{cardholder|{{hb|2}} |Cathy}}🟰
|{{cardholder|{{hb|3|c=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|{{text|c=#008|w=bold|Promise}} {{text|c=#800|w=bold|Bluff}}:
* {{text|c=#800|1 unmarked play doesn't connect to the target}}
* {{text|c=#008|1 unmarked promise to connect to the target}}
*: (in the finesse position of at least one player)
|-
|rowspan=3|Alice clues {{card|4}} to Emily:
{{cardholder|{{hb|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hb|2}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hr|1}}{{hk}}{{hk}}{{hk}} |Donald 🡲}}
{{cardholder|{{hBack|4|n=}}{{hBack}}{{hBack}}{{hBack}} |Emily 🡲}}
|Bob plays {{hb|1}}
|connects to {{hBack|4|n=}}
|style=text-align:right|➕{{cardholder|{{hb|2}} |Cathy}}🟰
|{{cardholder|{{hb|4|n=}}{{hb|3}}{{hBack}}{{hBack}} |Emily 🡲}}
|rowspan=3|{{text|c=#080|w=bold|Long Finesse}} + {{text|c=#800|w=bold|Bluff}}:
* {{text|c=#080|Multiple marked plays connect to the target}}
* {{text|c=#800|1 unmarked play doesn't connect to the target}}
|-
|Cathy plays {{hb|2}}
|connects to {{hb|4|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|4|n=}}{{hb|3}}{{hBack}}{{hBack}} |Emily 🡲}}
|-
|Donald plays {{hr|1}}
|as {{hb|3}}
|style=text-align:right|➖ {{hb|3}} 🟰
|{{cardholder|{{hb|4|n=}}{{hBack}}{{hBack}}{{hBack}} |Emily 🡲}}
|-
|rowspan=2|Alice clues {{card|4}} to Donald:
{{cardholder|{{hb|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hr|1}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hBack|4|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|Bob plays {{hb|1}}
|connects to {{hBack|4|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|4|n=}}{{hb|2}}{{hb|3}}{{hBack}} |Donald 🡲}}
|rowspan=2|{{text|c=#080|w=bold|Finesse}} + {{text|c=#008|w=bold|Promise}} {{text|c=#800|w=bold|Bluff}}:
* {{text|c=#080|1 marked play connects to the target}}
* {{text|c=#800|1 unmarked play doesn't connect to the target}}
* {{text|c=#008|1 unmarked promise to connect to the target}}
*: (in the finesse position of at least one player)
|-
|Cathy plays {{hr|1}}
|as {{hb|2}}
|style=text-align:right|➖ {{hb|2}} 🟰
|{{cardholder|{{hb|4|n=}}{{hb|3}}{{hBack}}{{hBack}} |Donald 🡲}}
|-
|rowspan=2|Alice clues {{card|2}} to Donald:
{{cardholder|{{hb|1}}{{hb|5}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{hr|1}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{hBack|2|n=}}{{hBack}}{{hBack}}{{hBack}} |Donald 🡲}}
|Bob plays {{hb|1}}
|connects to {{hBack|2|n=}}
|style=text-align:right|🟰
|{{cardholder|{{hb|2|n=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|rowspan=2|{{text|c=#800|w=bold|Double Bluff}}:
* {{text|c=#800|1 unmarked play appears to connect to the target}}
* {{text|c=#800|1 unmarked play reveals neither connect to the target}}
|-
|Cathy plays {{hr|1}}
|as {{hb|2}}
|style=text-align:right|➖ {{hb|2}} 🟰
|{{cardholder|{{hCard|2|n=}}{{hBack}}{{hBack}}{{hBack}} |Cathy 🡲}}
|}
<!--
in the game Alice clues Donald {{HBack|4|n=}}:
Bob plays {{hr|2}}: Donald will play {{hr|3}}{{hr|4}}
Cathy plays {{hm|3}}: Donald will
* [https://en.doc.boardgamearena.com/Tips_hanabi#Finesse_bluff Tips page example]
* [https://en.doc.boardgamearena.com/User:Sammy_McSam/Hanabi/Examples More complex example]
What context could change Cathy's response?




<hr>
{|class=wikitable
{{pill|⚠ Work in progress|#fa8|#fc8|s=1.2}}
|+Valid bluffs
{{pill|⚠ May contain logic |#fa8|#fc8|s=1.2}}
!colspan=2 rowspan=2|
!colspan=4|{{text|c=#324|Prompts}}
!colspan=4|{{text|c=#080|Finesses}}
|-
!{{text|c=#324|1}}
!{{text|c=#324|2}}
!{{text|c=#324|3}}
!{{text|c=#324|4}}
!{{text|c=#080|1}}
!{{text|c=#080|2}}
!{{text|c=#080|3}}
!{{text|c=#080|4}}
|-
!rowspan=4|{{text|c=#800|Bluffs}}
!{{text|c=#800|0}}
|✅ {{text|c=#324|Prompt}}
|colspan=3|✅ {{text|c=#324|Long Prompt}}
|✅ {{text|c=#080|Finesse}}
|colspan=3|✅ {{text|c=#080|Long Finesse}}
|-
!{{text|c=#800|1}}
|✅ {{text|c=#324|Prompt}} {{text|c=#800|Bluff}}
|colspan=3|✅ {{text|c=#324|Long Prompt}} {{text|c=#800|Bluff}}
|✅ {{text|c=#080|Finesse}} {{text|c=#800|Bluff}}
|colspan=3|✅ {{text|c=#080|Long Finesse}} {{text|c=#800|Bluff}}
|-
!{{text|c=#800|2}}
|✅ {{text|c=#324|Prompt}} {{text|c=#800|Double Bluff}}
|colspan=3|✅ {{text|c=#324|Long Prompt}} {{text|c=#800|Double Bluff}}
|❌ {{text|c=#080|Finesse}} {{text|c=#800|Double Bluff}}
|colspan=3|❌ {{text|c=#080|Long Finesse}} {{text|c=#800|Double Bluff}}
|-
!{{text|c=#800|3}}
|❌ {{text|c=#324|Prompt}} {{text|c=#800|Triple Bluff}}
|colspan=3|❌ {{text|c=#324|Long Prompt}} {{text|c=#800|Triple Bluff}}
|❌ {{text|c=#080|Finesse}} {{text|c=#800|Triple Bluff}}
|colspan=3|❌ {{text|c=#080|Long Finesse}} {{text|c=#800|Triple Bluff}}
|}
 
Prompt bluff (dangerous)
Double prompt bluff (v dangerous)
reverse bluff
trash bluff
trash finesse
-->


== {{pill|Extraction|#aff|#cfd}} ==
== <div style="background:linear-gradient(45deg,#aff,#cfd,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">Extraction</div> ==


It is possible to extract a card that is 'blocked' by an unplayable card using two clues.
It is possible to extract a card that is 'blocked' by an unplayable card using two clues.
* 1st clue marks the target with '''colour'''.
# Clue the target with '''colour'''.
* 2nd clue marks the target with '''number'''.
# Clue the target with '''number'''.


{{infoBoxes3 |state=collapsed
{{infoBoxes3 |state=collapsed
|title1=Example 1: avalanche
|title1=Example 1: avalanche
|body1={{Hr}} {{Hy|1}} {{Hg}} {{Hb}} {{Hw}} {{Hm}}
|body1={{hr}} {{hy|1}} {{hg}} {{hb}} {{hw}} {{hm}}
{{cardholder|{{Hw|5}}{{Hy|4}}{{Hr|3}}{{Hg|5}} |Bob 🡲}}
{{cardholder|{{hw|5}}{{hy|4}}{{hr|3}}{{hg|5}} |Bob 🡲}}
{{cardholder|{{Hw|4}}{{Hg|4}}{{Hm|2}}{{Hy|2}} |Cathy 🡲}}
{{cardholder|{{hw|4}}{{hg|4}}{{hm|2}}{{hy|2}} |Cathy 🡲}}


* Avalanche of colors option is on, so multicolour cards are marked by '''any colour clue'''.
* Avalanche of colors option is on, so multicolour cards are marked by '''any colour clue'''.
* Cathy's {{Hy|2}} should play before it is discarded.
* Cathy's {{hy|2}} should play before it is discarded.
* The focus of a 2 clue on its own will be {{Hm|2}} and the focus of a yellow  clue will also be {{Hm|2}}.
* The focus of a 2 clue on its own will be {{hm|2}} and the focus of a yellow  clue will also be {{hm|2}}.


* Alice to Cathy: these 2 cards are yellow.
* Alice to Cathy: these 2 cards are yellow.


{{Hr}} {{Hy|1}} {{Hg}} {{Hb}} {{Hw}} {{Hm}}
{{hr}} {{hy|1}} {{hg}} {{hb}} {{hw}} {{hm}}
{{cardholder|{{Hw|5}}{{Hy|4}}{{Hr|3}}{{Hg|5}} |Bob 🡲}}
{{cardholder|{{hw|5}}{{hy|4}}{{hr|3}}{{hg|5}} |Bob 🡲}}
{{cardholder|{{Hw|4}}{{Hg|4}}{{Hm|2|{{y}}|1|1|c=}}{{Hy|2|c=}} |Cathy 🡲}}
{{cardholder|{{hw|4}}{{hg|4}}{{hm|2|{{y}}|1|1|c=}}{{hy|2|c=}} |Cathy 🡲}}


* Bob to Cathy: these 2 cards are 2s - this fix clue changes the focus from the left 2 to the other 2.
* Bob to Cathy: these 2 cards are 2s - this fix clue changes the focus from the left 2 to the other 2.


{{Hr}} {{Hy|1}} {{Hg}} {{Hb}} {{Hw}} {{Hm}}
{{hr}} {{hy|1}} {{hg}} {{hb}} {{hw}} {{hm}}
{{cardholder|{{Hw|5}}{{Hy|4}}{{Hr|3}}{{Hg|5}} |Bob 🡲}}
{{cardholder|{{hw|5}}{{hy|4}}{{hr|3}}{{hg|5}} |Bob 🡲}}
{{cardholder|{{Hw|4}}{{Hg|4}}{{Hm|2|{{y}}|1|1|n=|c=}}{{Hy|2|n=|c=}} |Cathy 🡲}}
{{cardholder|{{hw|4}}{{hg|4}}{{hm|2|{{y}}|1|1|n=|c=}}{{hy|2|n=|c=}} |Cathy 🡲}}


* ''Note: if a multicolour card is the intended target of a play clue, the clearest clue would be a colour that does not splash any other card.''
* ''Note: if a multicolour card is the intended target of a play clue, the clearest clue would be a colour that does not splash any other card.''


|title2=Example 2: 5 colors
|title2=Example 2: 5 colors
|body2={{Hr}} {{Hy}} {{Hg}} {{Hb}} {{Hw|1}}
|body2={{hr}} {{hy}} {{hg}} {{hb}} {{hw|1}}


: extract {{Hw|2}}:
: extract {{hw|2}}:
# '''Alice''' to Cathy: these 2 cards are white.
# '''Alice''' to Cathy: these 2 cards are white.
#* Focus is '''left'''.
#* Focus is '''left'''.
#:{{cardholder|{{HBack|2}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|c=}} |Cathy 🡲}} {{cardholder|{{Hr|2}}{{Hw|3|c=}}{{Hk}}{{Hw|2|c=}} |Cathy 🡲}}
#:{{cardholder|{{HBack|2}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|c=}} |Cathy 🡲}} {{cardholder|{{hr|2}}{{hw|3|c=}}{{hk}}{{hw|2|c=}} |Cathy 🡲}}
# '''Bob''' to Cathy: these 2 cards are 2s.
# '''Bob''' to Cathy: these 2 cards are 2s.
#* Changes focus from left to '''right'''.
#* Changes focus from left to '''right'''.
#:{{cardholder|{{HBack|2|n=}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|n=|c=}} |Cathy 🡲}} {{cardholder|{{Hr|2|n=}}{{Hw|3|c=}}{{Hk}}{{Hw|2|n=|c=}} |Cathy 🡲}}
#:{{cardholder|{{HBack|2|n=}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|n=|c=}} |Cathy 🡲}} {{cardholder|{{hr|2|n=}}{{hw|3|c=}}{{hk}}{{hw|2|n=|c=}} |Cathy 🡲}}


|title3=Example 3: avalanche
|title3=Example 3: avalanche
|body3={{Hr}} {{Hy}} {{Hg}} {{Hb}} {{Hw|1}} {{Hm}}
|body3={{hr}} {{hy}} {{hg}} {{hb}} {{hw|1}} {{hm}}
: extract {{Hw|2}} with avalanche:
: extract {{hw|2}} with avalanche:
# '''Alice''' to Cathy: these 3 cards are white.
# '''Alice''' to Cathy: these 3 cards are white.
#* Focus is '''left'''.
#* Focus is '''left'''.
#:{{cardholder|{{HBack|2|{{w}}|c=}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|c=}} |Cathy 🡲}} {{cardholder|{{Hm|2|{{w}}|white|c=}}{{Hw|3|c=}}{{Hk}}{{Hw|2|c=}} |Cathy 🡲}}
#:{{cardholder|{{HBack|2|{{w}}|c=}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|c=}} |Cathy 🡲}} {{cardholder|{{hm|2|{{w}}|white|c=}}{{hw|3|c=}}{{hk}}{{hw|2|c=}} |Cathy 🡲}}
# '''Bob''' to Cathy: these 2 cards are 2s.
# '''Bob''' to Cathy: these 2 cards are 2s.
#* Changes focus from left to '''right'''.
#* Changes focus from left to '''right'''.
#:{{cardholder|{{HBack|2|{{w}}|n=|c=}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|n=|c=}} |Cathy 🡲}} {{cardholder|{{Hm|2|{{w}}|white|n=|c=}}{{Hw|3|c=}}{{Hk}}{{Hw|2|n=|c=}} |Cathy 🡲}}
#:{{cardholder|{{HBack|2|{{w}}|n=|c=}}{{HBack|3|{{w}}|c=}}{{HBack}}{{HBack|2|{{w}}|n=|c=}} |Cathy 🡲}} {{cardholder|{{hm|2|{{w}}|white|n=|c=}}{{hw|3|c=}}{{hk}}{{hw|2|n=|c=}} |Cathy 🡲}}
}}
}}


Since black powder can't be clued with colour, extraction is a little different:
Since black powder can't be clued with colour, extraction is a little different:
* 1st clue marks the target with '''number'''.
# Clue the target with '''number'''.
* 2nd clue marks the card to the '''left of the target''' with '''colour'''.
# Clue the card to the '''left of the target''' with '''colour'''.
{{infoBox |state=collapsed
{{infoBox |state=collapsed
|title=Example 4: black powder
|title=Example 4: black powder
|body={{Hr}} {{Hy}} {{Hg}} {{Hb}} {{Hw}} {{Hk|3}}
|body={{hr}} {{hy}} {{hg}} {{hb}} {{hw}} {{hk|3}}


: extract {{Hk|2}}:
: extract {{hk|2}}:
# '''Alice''' to Cathy: these 3 cards are 2s.
# '''Alice''' to Cathy: these 3 cards are 2s.
#* Focus is '''left'''.
#* Focus is '''left'''.
#:{{cardholder|{{HBack|2|{{y}}|n=}}{{HBack|2|{{r}}|n=}}{{HBack|2|n=}}{{HBack}} |Cathy 🡲}} {{cardholder|{{Hy|2|n=}}{{Hr|2|n=}}{{Hk|2|n=}}{{Hk}} |Cathy 🡲}}
#:{{cardholder|{{HBack|2|{{y}}|n=}}{{HBack|2|{{r}}|n=}}{{HBack|2|n=}}{{HBack}} |Cathy 🡲}} {{cardholder|{{hy|2|n=}}{{hr|2|n=}}{{hk|2|n=}}{{hk}} |Cathy 🡲}}
# '''Bob''' to '''Cathy''': this card is red.
# '''Bob''' to '''Cathy''': this card is red.
#* Changes focus from left to '''right'''.
#* Changes focus from left to '''right'''.
#:{{cardholder|{{HBack|2|{{y}}|n=}}{{HBack|2|{{r}}|n=|c=}}{{HBack|2|n=}}{{HBack}} |Cathy 🡲}} {{cardholder|{{Hy|2|n=}}{{Hr|2|n=|c=}}{{Hk|2|n=}}{{Hk}} |Cathy 🡲}}
#:{{cardholder|{{HBack|2|{{y}}|n=}}{{HBack|2|{{r}}|n=|c=}}{{HBack|2|n=}}{{HBack}} |Cathy 🡲}} {{cardholder|{{hy|2|n=}}{{hr|2|n=|c=}}{{hk|2|n=}}{{hk}} |Cathy 🡲}}
}}
}}


Line 110: Line 434:
=== How do I know it's not a finesse? ===
=== How do I know it's not a finesse? ===


The leftmost card may be 1-away-from-playable.
* The leftmost card may be 1-away-from-playable.
But if Bob can see that one of the cards Alice marked with colour is playable, he will prefer to give a '''fix clue''' and '''not blind play his finesse position'''.
But if Bob can see that one of the cards Alice marked with colour is playable, he will prefer to give a '''fix clue''' and '''not blind play his finesse position'''.
* As Bob, consider the choice of clue:
** if Alice wanted to finesse 2b with a playable 1m in front, why skip players to give specifically a blue clue (why not another colour or number?
** if Alice wanted to finesse 4k with a playable 4r in front, why skip players to give specficially a 4 clue (why not red)?


=== The everlasting exception: context ===
=== The everlasting exception: context ===
Line 125: Line 452:


==== Examples ====
==== Examples ====
{{cardholder|{{Hb|2|c=}}{{Hm|1|{{b}}|c=}}{{Hk}}{{Hk}}|Cathy 🡲}}
{{cardholder|{{Hm|1|{{b}}|c=}}{{Hb|2|c=}}{{Hk}}{{Hk}}|Cathy 🡲}}


{{cardholder|{{HBack}}{{HBack}}{{HBack|5|{{y}}|c=}}{{HBack|5|{{b}}|c=}}|Bob 🡲}}
{{cardholder|{{HBack}}{{HBack}}{{HBack|5|{{y}}|c=}}{{HBack|5|{{b}}|c=}}|Bob 🡲}}
{{cardholder|{{Hy|4}}{{Hk|4}}{{Hk}}{{Hk}}|Cathy 🡲}}
{{cardholder|{{hy|4}}{{hk|4}}{{hk}}{{hk}}|Cathy 🡲}}


{{cardholder|{{HBack}}{{HBack}}{{HBack|5|{{y}}|c=}}{{HBack|5|{{b}}|c=}}|Bob 🡲}}
{{cardholder|{{HBack}}{{HBack}}{{HBack|5|{{y}}|c=}}{{HBack|5|{{b}}|c=}}|Bob 🡲}}
{{cardholder|{{Hy|4|n=}}{{Hk|4|n=}}{{Hk}}{{Hk}}|Cathy 🡲}}
{{cardholder|{{hy|4|n=}}{{hk|4|n=}}{{hk}}{{hk}}|Cathy 🡲}}
* Alice clues 4s to Cathy. How should Bob respond?
* Alice clues 4s to Cathy. How should Bob respond?
{{InfoBox |state=collapsed |color=green
{{InfoBoxes |state=collapsed |color1=green |color2=blue
|title=Answer
|title1=Answer
|body=
|body1=
With no context, the interpretation falls to the fewest blind plays: i.e. prefer to play the marked {{HBack|5|{{y}}|c=}} as {{Hy|3}} rather than slot 1 as {{Hk|5}}.
With no context, the interpretation falls to the fewest blind plays: i.e. prefer to play the marked {{HBack|5|{{y}}|c=}} as {{hy|3}} rather than slot 1 as {{hk|5}}.
}}


{{InfoBox |state=collapsed
|title2=What context could change this interpretation?
|title=What context could change this interpretation?
|body2=
|body=
Some possible answers:
Some possible answers:
# Bob has negative 3.
# Bob has negative 3.
# Bob had {{Hy|2|c=}} which was marked with number 2 instead of a number 3 fix, and either:
# Bob had {{hy|2|c=}} which was marked with number 2 instead of a number 3 fix, and either:
## Bob did not discard what would have been a trash 3
## Bob did not discard what would have been a trash 3
## {{Hy|4}} was discarded when it could have easily been marked to prompt {{Hy|3}}
## {{hy|4}} was discarded when it could have easily been marked to prompt {{hy|3}}


[https://boardgamearena.com/archive/replay/250619-1450/?table=694442815&player=84994396&comments=84994396;&goto=22 In this game] the context was 2.1:  [https://boardgamearena.com/archive/replay/250619-1450/?table=694442815&player=84994396&comments=84994396;&goto=22 On move 23] a fix clue was given with number 2 instead of 3, Bob can know that their {{HBack|5|{{y}}|c=}} is not {{Hy|3}} (else the fix should be 3¹, not 2).
[https://boardgamearena.com/archive/replay/250619-1450/?table=694442815&player=84994396&comments=84994396;&goto=22 In this game] the context was 2.1:  [https://boardgamearena.com/archive/replay/250619-1450/?table=694442815&player=84994396&comments=84994396;&goto=22 On move 23] a fix clue was given with number 2 instead of 3, Bob can know that their {{HBack|5|{{y}}|c=}} is not {{hy|3}} (else the fix should be 3¹, not 2).
This is why it is important for each player to pay attention to how their own cards are fixed (and what cards they discard afterwards).
This is why it is important for each player to pay attention to how their own cards are fixed (and what cards they discard afterwards).


¹Note that there are no trash 3s at this point. If there were at least one trash 3 (e.g. {{Hw|3}} were played or already marked somewhere), Bob should only make this conclusion after discarding his unmarked card, to check that a 3 fix was not given due to bad touch.
¹Note that there are no trash 3s at this point. If there were at least one trash 3 (e.g. {{hw|3}} were played or already marked somewhere), Bob should only make this conclusion after discarding his unmarked card, to check that a 3 fix was not given due to bad touch.
}}
}}
 
<!--
{{infoBoxes3 |maxWidth=400 |state=collapsed
{{infoBoxes3 |maxWidth=400 |state=collapsed
|title1=Example 1: chop-focus play
|title1=Example 1: chop-focus play
|body1= Discarded: {{Hr|2}}{{Hw|2}}
|body1= Discarded: {{hr|2}}{{hw|2}}
* Bob has discarded a playable {{Hw|2}}.
* Bob has discarded a playable {{hw|2}}.
* Alice to Bob: this card is a 2.
* Alice to Bob: this card is a 2.
* The conventional move is for Bob to save his 2 as '''either''' {{Hr|2}} or {{Hw|2}}.
* The conventional move is for Bob to save his 2 as '''either''' {{hr|2}} or {{hw|2}}.
* But the context contradicts this: Alice and Cathy would not allow him to discard {{Hw|2}} unless there is a 2nd copy visible.
* But the context contradicts this: Alice and Cathy would not allow him to discard {{hw|2}} unless there is a 2nd copy visible.


# Bob plays his  
# Bob plays his  


|title2=Example 2: Prompt extraction
|title2=Example 2: Prompt extraction
|body2={{Hr}} {{Hy}} {{Hg}} {{Hb}} {{Hw|1}}
|body2={{hr}} {{hy}} {{hg}} {{hb}} {{hw|1}}


general case for directly clued finesse position?
general case for directly clued finesse position?


|title4=Example 4: timing
|title4=Example 4: timing
|body4={{Hr}} {{Hy}} {{Hg}} {{Hb}} {{Hw|1}}
|body4={{hr}} {{hy}} {{hg}} {{hb}} {{hw|1}}


* Bob has just discarded {{Hw|4}}
* Bob has just discarded {{hw|4}}
# Alice to Cathy: this card is white.
# Alice to Cathy: this card is white.
#:{{cardholder|{{HBack|5|{{r}}|n=}}{{HBack|5|{{y}}|n=}}{{HBack|4|{{w}}|c=}}{{HBack}} |Bob 🡲}} {{cardholder|{{Hk}}{{Hk}}{{Hw|3|c=}}{{Hk}} |Cathy 🡲}}
#:{{cardholder|{{HBack|5|{{r}}|n=}}{{HBack|5|{{y}}|n=}}{{HBack|4|{{w}}|c=}}{{HBack}} |Bob 🡲}} {{cardholder|{{hk}}{{hk}}{{hw|3|c=}}{{hk}} |Cathy 🡲}}
#* '''Convention''' ⇒ '''prompt''' the '''marked''' white card.
#* '''Convention''' ⇒ '''prompt''' the '''marked''' white card.
#* '''Context''' ⇒ '''finesse''' the '''unmarked''' card.
#* '''Context''' ⇒ '''finesse''' the '''unmarked''' card.
#** ''The marked white card is {{Hw|4}}''.
#** ''The marked white card is {{hw|4}}''.


#:{{cardholder|{{Hr|5|n=}}{{Hk|5|n=}}{{Hw|4|c=}}{{Hw|2}} |Bob 🡲}} {{cardholder|{{Hk}}{{Hk}}{{Hw|3|c=}}{{Hk}} |Cathy 🡲}}
#:{{cardholder|{{hr|5|n=}}{{hk|5|n=}}{{hw|4|c=}}{{hw|2}} |Bob 🡲}} {{cardholder|{{hk}}{{hk}}{{hw|3|c=}}{{hk}} |Cathy 🡲}}


Convention prioritises marked cards to play (prompts) before unmarked card plays (finesses), but the timing of the clue can cause an unconventional unmarked card to play even though the white card ''could be'' {{Hw|2}}
Convention prioritises marked cards to play (prompts) before unmarked card plays (finesses), but the timing of the clue can cause an unconventional unmarked card to play even though the white card ''could be'' {{hw|2}}


# Context wins ⇒ '''Bob''' plays his unmarked '''finesse position'''.
# Context wins ⇒ '''Bob''' plays his unmarked '''finesse position'''.
}}
}}
-->


== {{pill|When is it chop focus?|#aff|#cfd}} ==
== <div style="background:linear-gradient(45deg,#aff,#cfd,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">When is it chop focus?</div> ==


[https://boardgamearena.com/forum/viewtopic.php?t=37453 Travis Hall » 16 December 2023, 01:12]
[https://boardgamearena.com/forum/viewtopic.php?t=37453 Travis Hall » 16 December 2023, 01:12]
<blockquote>
<blockquote>
When playing with high-level partners, I generally try to regard a number clue touching chop as chop-focussed unless there is a timeliness consideration.[&hellip;]when giving a finesse, we can’t wait for the discard of the chop. For example:
When playing with high-level partners, I generally try to regard a number clue touching chop as chop-focussed unless there is a timeliness consideration.[&hellip;]when giving a finesse, we can’t wait for the discard of the chop. For example:
:Played: {{Hw|2}} {{cardholder|{{Hw|3}}{{Hk}}{{Hk}}{{Hk}} |B 🡲}} {{cardholder|{{Hm|5}}{{Hk}}{{Hw|4}}{{Hk|4}} |C 🡲}}
:Played: {{hw|2}} {{cardholder|{{hw|3}}{{hk}}{{hk}}{{hk}} |B 🡲}} {{cardholder|{{hm|5}}{{hk}}{{hw|4}}{{hk|4}} |C 🡲}}


A clues 4 to C. Cluing white is blocked by {{Hm|5}}. Cluing 4 can’t wait, because B will probably discard and {{Hw|3}} will move out of finesse. C can note the finesse response and adjust their expectation to play the left 4.
A clues 4 to C. Cluing white is blocked by {{hm|5}}. Cluing 4 can’t wait, because B will probably discard and {{hw|3}} will move out of finesse. C can note the finesse response and adjust their expectation to play the left 4.


And I try to consistently clue the same way.
And I try to consistently clue the same way.
Line 206: Line 535:
# Otherwise a left-focused play clue.
# Otherwise a left-focused play clue.


=== {{Hk|1}} ===
=== {{hk|1}} ===


* {{card|1}} clues that mark the chop card are interpreted as a {{Hk|1}} save (unless the receiver already has a known play).
* {{card|1}} clues that mark the chop card are interpreted as a {{hk|1}} save (unless the receiver already has a known play).


* If a player can see {{Hk|1}}, it is logical to play all cards marked {{card|1}} from '''oldest to newest'''.
* If a player can see {{hk|1}}, it is logical to play all cards marked {{card|1}} from '''oldest to newest'''.
The oldest is the most valuable {{card|1}} because otherwise it could have been discarded before cluing {{card|1}}.
The oldest is the most valuable {{card|1}} because otherwise it could have been discarded before cluing {{card|1}}.


Playing a chop card marked {{card|1}} can be played because:
Playing a chop card marked {{card|1}} can be played because:
# {{Hk|1}} is visible (and the player who can't see it is '''promised''' {{Hk|1}})
# {{hk|1}} is visible (and the player who can't see it is '''promised''' {{hk|1}})
#* This player should then track the newest position that can be {{Hk|1}}.
#* This player should then track the newest position that can be {{hk|1}}.
#** if this card reaches chop, it should not be saved with a direct clue.
#** if this card reaches chop, it should not be saved with a direct clue.
#** if his card does receive a direct clue, it becomes a finesse.
#** if his card does receive a direct clue, it becomes a finesse.
Line 243: Line 572:
}}
}}


== {{pill|Strategy|#aff|#cfd}} ==
== <div style="background:linear-gradient(45deg,#aff,#cfd,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">Strategy</div> ==


=== Back to basics ===
=== Back to basics ===


* In a {{player|5}} player game with {{hand|4}} each and avalanche, there are up to 30 possible moves per player (excluding flamboyants).
:e.g. if each hand has one avalanche {{hm}} card.
* In one round of play that means up to 150 possible unique positions!
* That's a lot to think about. But amazingly our human brains can filter out the vast majority of those moves as not logical given a bit of agreement on clue, play and discard interpretations (conventions).
<!--
, we agree as a team that we must:
, we agree as a team that we must:
Communicate to each other primarily via clues (as well as plays and discards)
Communicate to each other primarily via clues (as well as plays and discards)
Line 258: Line 592:
Two types of clues
Two types of clues


To separate We always mark unique cards before they are discarded
*To separate  
*We always mark unique cards before they are discarded


Most of the time we understand that the clue giver should be the player directly before the clue receiver.
*Most of the time we understand that the clue giver should be the player directly before the clue receiver.
This is because this seat has the newest information in view
*This is because this seat has the newest information in view


Relative seats of clue giver & receiver
*Relative seats of clue giver & receiver
When we allow any player to clue any hand, it allows for a lot more freedom to clue.
*When we allow any player to clue any hand, it allows for a lot more freedom to clue.
Cluing more than 1 seat away can happen for a '''[[Tips_hanabi#Skip|number of reasons]]'''.
*Cluing more than 1 seat away can happen for a '''[[Tips_hanabi#Skip|number of reasons]]'''.


when to discard - when player right of you has nice cards like 2s
*when to discard - when player right of you has nice cards like 2s
Delaying certain players with nice non-unique cards
*Delaying certain players with nice non-unique cards
 
Mark as many first copies of cards as possible to reduce the chance of getting '''bottom-decked'''.
Bluffs are the easiest way to mark useful 1-away from playable cards.
Where possible,


*Mark as many first copies of cards as possible to reduce the chance of getting '''bottom-decked'''.
*Bluffs are the easiest way to mark useful 1-away from playable cards.
*Where possible,
-->
=== Hand management ===
=== Hand management ===


Line 282: Line 617:
==== DDA ====
==== DDA ====


=== Efficiency {{Hclue|8}} ===
=== Efficiency {{hclue|8}} ===


==== Bluffs ====
==== Bluffs ====


Bluffs are powerful...
* Bluffs are powerful...
* Easiest way to mark nice cards


===== Maximizing bluff opportunities {{s8)}} =====
===== Maximizing bluff opportunities {{s8)}} =====


Once we realise the power of bluffs, it follows that we want to maximise the number of bluffing opportunities available to players.
* Once we realise the power of bluffs, it follows that we want to maximise the number of bluffing opportunities available to players.
In any given situation, it is possible to work out Alice's optimal move given the information available to her.
* In any given situation, it is possible to work out Alice's optimal move given the information available to her.


The basic idea is simple: look for the bluff opportunity that is furthest ahead. Everyone should be making moves that enable that bluff opportunity to be used, and then work backwards from that player for the next opportunity.
* The basic idea is simple: look for the bluff opportunity that is furthest ahead.
* Everyone should be making moves that enable that bluff opportunity to be used, and then work backwards from that player for the next opportunity.


So from Alice's point of view, she will see if:
So from Alice's point of view, she will see if:
Line 341: Line 678:
}}
}}


==== When to not save unique cards =====
===== When to not save unique cards {{s:O}} =====


No matter how many tokens you have, whether it is {{Hclue|1}} or {{Hclue|7}}, you do not always have to spend a token to save a card. Some players might find this statement controversial. Each player must consider the likelihood of a certain move and assess if the risk-reward of all the possible moves.
* No matter how many tokens you have, whether it is {{hclue|1}} or {{hclue|7}}, you do not always have to spend a token to save a card. Some players might find this statement controversial.
* Each player must consider the likelihood of a certain move and assess if the risk-reward of all the possible moves.


Did you know that in a {{player|5}} player game with {{hand|4}} each, avalanche, there are up to 30 possible moves per player (not counting flamboyant bonuses)?
[[#Back_to_basics We know that there are a lot of possible moves, and even more game states]].
:e.g. if each hand has one avalanche {{Hm}} card.
And in one round of play that means up to 150 possible unique positions!
That's a lot to think about. But amazingly our human brains can filter out the vast majority of those moves as not logical given a bit of agreement on conventions.


Examples of clear good/bad
Examples of clear good/bad
Line 358: Line 693:
===== When to Trash bluff =====
===== When to Trash bluff =====


When you first learn about trash bluffs, you need to practice it and that's fine.
* When you first learn about trash bluffs, you need to practice it and that's fine.
Once you are comfortable with how it works, you need to consider if you {{text|w=700|i=italic|should}} use a trash bluff.
* Once you are comfortable with how it works, you need to consider if you '''''should''''' use a trash bluff.
 
* Examples where it is clearly bad
:Played: {{hw|1}} {{cardholder|{{hb|1}}{{hk}}{{hk}}{{hk}} |Bob 🡲}} {{cardholder|{{hw|1|n=}}{{hw|1|n=}}{{hb|2}}{{hb|2}} |Cathy 🡲}}


Examples where it is clearly bad
=== Reverses with number {{hw|3|n=}} ===
:Played: {{Hw|1}} {{cardholder|{{Hb|1}}{{Hk}}{{Hk}}{{Hk}} |Bob 🡲}} {{cardholder|{{Hw|1|n=}}{{Hw|1|n=}}{{Hb|2}}{{Hb|2}} |Cathy 🡲}}


=== Reverses with number {{Hw|3|n=}} ===
* Reverse finesses are often not great if the finessed card could instead be bluffed, however, it can be useful to mark a chop card as a reverse to ensure it is not discarded.
*: e.g. Alice sees Bob has {{hw|2}} on chop and Donald just drew {{hw|1}}. Normally the best moves would be for Alice and Bob to discard so that Cathy can bluff Donald's {{hw|1}}, but {{hw|2}} is more valuable than any bluff target Alice can see, so she chooses to reverse with colour.


Reverse finesses are often not great if the finessed card could instead be bluffed, however, it can be useful to mark a chop card as a reverse to ensure it is not discarded.
* e.g. Alice sees Bob has {{Hw|2}} on chop and Donald just drew {{Hw|1}}. Normally the best moves would be for Alice and Bob to discard so that Cathy can bluff Donald's {{Hw|1}}, but {{Hw|2}} is more valuable than any bluff target Alice can see, so she chooses to reverse with colour.
But what if reversing with colour would mark trash?
But what if reversing with colour would mark trash?
If we can finesse with number, why can't we also reverse finesse with number?
* If we can finesse with number, why can't we also reverse finesse with number?
A reverse with number is usually harder to read than a reverse with colour, but they can be a lot more efficient than colour + multiple correction clues (to prevent future bombs).
* A reverse with number is usually harder to read than a reverse with colour, but they can be a lot more efficient than colour + multiple correction clues (to prevent future bombs).


[https://boardgamearena.com/player?id=85786974 Travis Hall] gives a basic explanation of number reverses:
[https://boardgamearena.com/player?id=85786974 Travis Hall] gives a basic explanation of number reverses:
Line 377: Line 713:
</blockquote>
</blockquote>


=== Multicolour reverses with colour {{Hm|3|{{w}}|c=}} ===
=== Multicolour reverses with colour {{hm|3|{{w}}|c=}} ===


[https://boardgamearena.com/player?id=85786974 Travis Hall] explains it well:
[https://boardgamearena.com/player?id=85786974 Travis Hall] explains it well:
Line 384: Line 720:
</blockquote>
</blockquote>


Multicolour reverses with a single colour can work, the most common situation being where the clue giver and receiver can both see a playable card of the colour clued either marked or in the finesse position in someone else's hand.
* Multicolour reverses with a single colour can work, the most common situation being where the clue giver and receiver can both see a playable card of the colour clued either marked or in the finesse position in someone else's hand.
Such a reverse will also trigger a [[Gamehelphanabi#Definitions|hesitation]] play.
* Such a reverse may also trigger a [[Gamehelphanabi#Definitions|hesitation]] play.


=== When to GD ===
=== When to GD ===


* Token is needed
# Plays extra cards for free from one ''or more'' hands. <!--See [[#Patch_GD|Patch GD]].-->
* Protect cards
# Protect cards
* Free plays from one ''or more'' hands.
# Token is needed


GD without benefit is a 'zero value' GD and limits the freedom to clue.
GD without one of these benefits is usually of '''negative value''':
* Limits the freedom to clue.
* Misleads the responder - the cards to the right of the copy is not trash.


== {{pill|Context|#aff|#cfd}} ==
== <div style="background:linear-gradient(45deg,#aff,#cfd,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">Context</div> ==


=== Using the last token {{Hclue|0}} ===
=== Using the last token {{hclue|0}} ===


Cause a valuable discard
Cause a valuable discard
Line 404: Line 742:


Following player has a locked hand
Following player has a locked hand
* Cause a trash or duplicate discard e.g. {{Hk|5}} from {{card|5}} save.  
* Cause a trash or duplicate discard e.g. {{hk|5}} from {{card|5}} save.  
* Cause a play
* Cause a play


=== Negatives {{Hw|5|n=}}{{Hw|4}}===
=== Negatives {{hw|5|n=}}{{hw|4}}===


Write notes if necessary.
Write notes if necessary.
Line 431: Line 769:


<div style="columns:14rem auto;column-gap:2rem;white-space:nowrap;">
<div style="columns:14rem auto;column-gap:2rem;white-space:nowrap;">
: {{Hr}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw}} {{Hclue|2}}
: {{hr}} {{hy|5}} {{hg|5}} {{hb|5}} {{hw}} {{hclue|2}}
: {{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack}} |Alice 🡲}} {{cardholder|{{Hw|1}}{{Hr|2}}{{Hk}}{{Hw|3}} |Bob 🡲}}
: {{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack}} |Alice 🡲}} {{cardholder|{{hw|1}}{{hr|2}}{{hk}}{{hw|3}} |Bob 🡲}}
# Alice to Bob: these 2 cards are white.
# Alice to Bob: these 2 cards are white.
# Bob plays {{Hw|1}}.
# Bob plays {{hw|1}}.
# Cathy to Alice: these 2 cards are white.
# Cathy to Alice: these 2 cards are white.
#:{{cardholder|{{HBack|2|{{w}}|c=}}{{HBack}}{{HBack}}{{HBack|4|{{w}}|c=}} |Alice 🡲}} {{cardholder|{{Hk}}{{Hr|2}}{{Hk}}{{Hw|3|c=}} |Bob 🡲}}
#:{{cardholder|{{HBack|2|{{w}}|c=}}{{HBack}}{{HBack}}{{HBack|4|{{w}}|c=}} |Alice 🡲}} {{cardholder|{{hk}}{{hr|2}}{{hk}}{{hw|3|c=}} |Bob 🡲}}
# Alice plays {{Hw|2}}.
# Alice plays {{hw|2}}.
# Bob discards his chop.
# Bob discards his chop.
# Cathy discards.
# Cathy discards.
#:{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack|4|{{w}}|c=}} |Alice 🡲}} {{cardholder|{{Hw|4}}{{Hk}}{{Hr|2}}{{Hw|3|c=}} |Bob 🡲}}
#:{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack|4|{{w}}|c=}} |Alice 🡲}} {{cardholder|{{hw|4}}{{hk}}{{hr|2}}{{hw|3|c=}} |Bob 🡲}}
</div>
</div>


==== What is the best move for Alice? ====
==== What is the best move for Alice? ====


{{pill|A) clue {{Hw|3|n=}} }}
{{pill|A) clue {{hw|3|n=}} }}
{{pill|B) clue {{Hw|4|n=}} }}
{{pill|B) clue {{hw|4|n=}} }}
{{pill|C) play {{HBack|4|{{w}}|c=}} }}
{{pill|C) play {{HBack|4|{{w}}|c=}} }}
{{pill|D) discard {{HBack|4|{{w}}|c=}} }}
{{pill|D) discard {{HBack|4|{{w}}|c=}} }}
Line 455: Line 793:
|body={{pill|D) discard {{HBack|4|{{w}}|c=}} }}
|body={{pill|D) discard {{HBack|4|{{w}}|c=}} }}


# Alice's chop card was not marked before her '''free move''' to clue Bob, so she knows her oldest white card cannot be unique ({{Hw|5}}).
# Alice's chop card was not marked before her '''free move''' to clue Bob, so she knows her oldest white card cannot be unique ({{hw|5}}).
# According to good touch, Alice can assume her white card is also not a 3 and could be a 4.
# According to good touch, Alice can assume her white card is also not a 3 and could be a 4.
# Alice sees Bob has a valuable {{Hr|2}} on chop, marked {{Hw|3}} and unmarked {{Hw|4}} in his finesse position.
# Alice sees Bob has a valuable {{hr|2}} on chop, marked {{hw|3}} and unmarked {{hw|4}} in his finesse position.
In order to delay the future discard of {{Hr|2}}, the best move for Alice is to discard her non-unique white card to trigger Bob to play {{Hw|3|c=}}{{Hw|4}}.
In order to delay the future discard of {{hr|2}}, the best move for Alice is to discard her non-unique white card to trigger Bob to play {{hw|3|c=}}{{hw|4}}.
}}
}}


Line 466: Line 804:
Would you trash bluff 5k when all 5s are not visible?
Would you trash bluff 5k when all 5s are not visible?


=== {{Hk|1}} tracking ===
=== {{hk|1}} tracking ===


when you can know 1k certain
when you can know 1k certain
Line 472: Line 810:
how you can play chop 1s when 1k is still in the deck
how you can play chop 1s when 1k is still in the deck


tricks to save on saving {{Hk|1}}
tricks to save on saving {{hk|1}}
when 1k is known somewhere and other cards are all marked later
*when 1k is known somewhere and other cards are all marked later
when 1k is known somewhere and there are promised cards in the same hand
*when 1k is known somewhere and there are promised cards in the same hand


apply this principal generally is tricky because it can become unclear what has triggered a blind-play  
*apply this principal generally is tricky because it can become unclear what has triggered a blind-play  


=== slot 3 blind plays ===
=== slot 3 blind plays ===
Line 485: Line 823:


Consider this situation:
Consider this situation:
* Alice clues Donald's {{Hb|5|c=}}
* Alice clues Donald's {{hb|5|c=}}
{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack}} |Bob 🡲}}
{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack}} |Bob 🡲}}
{{cardholder|{{Hb|1}}{{Hk}}{{Hk}}{{Hk}} |Cathy 🡲}}
{{cardholder|{{hb|1}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hb|5|c=}}{{Hr|5}} |Donald 🡲}}
{{cardholder|{{hk}}{{hk}}{{hb|5|c=}}{{hr|5}} |Donald 🡲}}
* Bob sees {{Hb|1}} and correctly assumes he has {{Hb|2}}{{Hb|3}}{{Hb|4}} and mentally congratulates Alice on a great clue.
* Bob sees {{hb|1}} and correctly assumes he has {{hb|2}}{{hb|3}}{{hb|4}} and mentally congratulates Alice on a great clue.
* So Bob saves {{Hr|5}}:
* So Bob saves {{hr|5}}:
{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack}} |Bob 🡲}}
{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack}} |Bob 🡲}}
{{cardholder|{{Hb|1}}{{Hk}}{{Hk}}{{Hk}} |Cathy 🡲}}
{{cardholder|{{hb|1}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hb|5|c=|n=}}{{Hr|5|n=}} |Donald 🡲}}
{{cardholder|{{hk}}{{hk}}{{hb|5|c=|n=}}{{hr|5|n=}} |Donald 🡲}}
* Cathy discards.
* Cathy discards.
* Donald discards.
* Donald discards.
* Alice discards.
* Alice discards.
* What should Bob do?
* What should Bob do?
{{pill|A) discard}}{{pill|B) clue {{Hb|1}}}}{{pill|C) play slot 1}}{{pill|D) discard slot 1}}{{pill|E) type "??" in chat}}
{{pill|A) discard chop}}{{pill|B) clue {{hb|1}}}}{{pill|C) play slot 1}}{{pill|D) discard slot 1}}{{pill|E) type "??" in chat}}
{{InfoBox |state=collapsed |color=green
{{InfoBox |state=collapsed |color=green
|title=Answer
|title=Answer
|body=
|body=
{{pill|C) play slot 1}} as {{Hb|1}}
{{pill|C) play slot 1}} as {{hb|1}}
Always remember to:
Always remember to:
# assume your teammates are giving valid clues (whether it's a good clue is a whole other question!)
# assume your teammates are giving valid clues (whether it's a good clue is a whole other question!)
Line 516: Line 854:
=== Passing back a finesse ===
=== Passing back a finesse ===


Normally we know that if we finesse a card and more than one player has a copy of the same finessed card, the first player will not play it because they see it in another hand, and the last player who does not see a future response must play the card.
*Normally we know that if we finesse a card and more than one player has a copy of the same finessed card, the first player will not play it because they see it in another hand, and the last player who does not see a future response must play the card.
However sometimes we have a situation where it would be clearly a blunder to play.
*However sometimes we have a situation where it would be clearly a blunder to play.
In the last example, Cathy's choice to discard instead of play for {{Hb|1}} was the correct choice given she saw all the connecting cards in Bob's hand. Note that if Cathy had a critical card on chop, this finesse would be a blunder.
*In the last example, Cathy's choice to discard instead of play for {{hb|1}} was the correct choice given she saw all the connecting cards in Bob's hand. Note that if Cathy had a critical card on chop, this finesse would be a blunder.


What if there were only one connecting card behind {{Hb|1}}?
What if there were only one connecting card behind {{hb|1}}?
* Alice clues Donald's {{Hb|4|n=}}
* Alice clues Donald's {{hb|4|n=}}
{{cardholder|{{Hb|1}}{{Hb|3}}{{Hk}}{{Hk}} |Bob 🡲}}
{{cardholder|{{hb|1}}{{hb|3}}{{hk}}{{hk}} |Bob 🡲}}
{{cardholder|{{Hb|1}}{{Hk}}{{Hk}}{{Hk}} |Cathy 🡲}}
{{cardholder|{{hb|1}}{{hk}}{{hk}}{{hk}} |Cathy 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hw|4|n=|c=}}{{Hr|5|n=|c=}} |Donald 🡲}}
{{cardholder|{{hk}}{{hk}}{{hw|4|n=|c=}}{{hr|5|n=|c=}} |Donald 🡲}}
* Bob sees {{Hb|1}} in Cathy's hand, so he saves {{Hr|5}}
* Bob sees {{hb|1}} in Cathy's hand, so he saves {{hr|5}}


Or Cathy has both connecting cards as well?
Or Cathy has both connecting cards as well?
Double pass back
*Double pass back


The point is that so long as an important card is not in danger of being discarded, the situation should always resolve itself without any more clues given.
The point is that so long as an important card is not in danger of being discarded, the situation should always resolve itself without any more clues given.


== {{pill|Interpretation|#aff|#cfd}} ==
== <div style="background:linear-gradient(45deg,#aff,#cfd,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">Endgame</div> ==
 
See [[User:Sammy_McSam/Hanabi2#Endgame|Hanabi conventions page 2]]
{{InfoBoxes |state=collapsed
|title1=Name that move #1
|body1=
Alice clues Cathy {{HBack|2|n=}}
* Bob plays {{Hw|1}}
* {{Hw|1}} '''connects''' to {{HBack|2|n=}}, so Cathy plays {{HBack|2|n=}} as {{Hw|2}}.
 
|title2=Answer
|body2=Finesse obvs
}}
 
{{InfoBoxes |state=collapsed
|title1=Name that move #2
|body1=
Alice clues Cathy {{Hr|2|n=}}
* Bob plays {{Hw|1}}
* {{Hw|1}} '''connects''' to {{HBack|2|n=}}, '''but''' there is another 1 layered behind it in a playable position.
* Cathy *does not play {{HBack|2|n=}}, but '''discards''' or clues something unrelated.
* Alice does something unrelated.
* {{Hw|1}} does not connect to {{Hr|2|n=}} and Cathy could have bombed {{Hr|2}} as {{Hw|2}} '''unless''' Bob really has {{Hr|1}}.
* Bob plays slot 2 as {{Hr|1}}. {{Hg|2}} successfully plays.
* Cathy now knows to wait for {{Hr|1}} to play before playing {{HBack|2|n=}} as {{Hr|2}}.
 
|title2=Answer
|body2=Layered Finesse
}}
 
{{InfoBoxes |state=collapsed
|title1=Name that move #3
|body1=
* Alice clues Cathy {{HBack|2|n=}}
* Bob plays {{Hr|2}}
* {{Hr|2}} '''cannot connect''' to {{HBack|2|n=}}, end of responses.
 
|title2=Answer
|body2=Bluff
}}
 
=== Finesse + bluff ===
 
* Alice clues Cathy {{HBack|2|n=}}
* Bob plays {{Hw|1}}
* {{Hw|1}} '''connects''' to {{HBack|2|n=}}, so Cathy plays {{HBack|2|n=}} as {{Hw|2}}
 
https://boardgamearena.com/table?table=693788252
 
example1 A clues D '2':
B plays 1b: 1b *connects* to '2' -> D can play 2b
C plays 1g: 1b *cannot connect* to '2' -> D cannot play 2b
2b - 2b = 0
 
example2 A clues D '3':
B plays 1b: 1b *connects* to '3' -> D can play 2b + 3b
C plays 1g: 1b *can connect* to '3' -> D cannot play 2b
[2b + 3b] - 2b = 3b
 
example3 A clues D '4':
B plays 1b: 1b *connects* to '4' -> D can play 2b + 3b + 4b
C plays 1g: 1b *can connect* to '4' -> D cannot play 2b
[2b + 3b + 4b] - 2b = 3b + 4b
 
 
in the game A clues D '4':
B plays 2r: D will play 3r+4r
C plays 3m: D will
 
 
* [https://en.doc.boardgamearena.com/Tips_hanabi#Finesse_bluff Tips page example]
* [https://en.doc.boardgamearena.com/User:Sammy_McSam/Hanabi/Examples More complex example]
 
== {{pill|Endgame|#aff|#cfd}} ==
 
When to discard, play, empty clue, clue duplicates and advanced techniques.
 
=== The critical move ===
 
To work out the most efficient sequence of moves, you need to determine three things:
;Critical colour: the colour that takes the most turns to complete.
: ''(i.e. must start as soon as possible to maximise the score).''
;Critical card: the first card of the critical colour.
: Note: this can be a '''duplicate''' of a card already marked!
;Critical move: the move that makes the critical card play.
: Note: this can be a '''clue''', '''play''' or '''discard'''.
 
: {{Hr|2}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw|2}}
 
{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack|3|{{r}}|n=|c=}} |Alice 🡲}}
{{cardholder|{{Hw|3}}{{Hk}}{{Hk}}{{Hr|4|n=|c=}} |Bob 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hk}}{{Hr|5|n=|c=}} |Cathy 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hw|4|n=|c=}}{{Hw|5|n=|c=}} |Donald 🡲}}
 
{{infoBoxes3 |minWidth=max-content |state=collapsed |color=rebeccapurple
|title1=What is the critical colour?
|body1='''Grouped by colour:'''
:{{cardholder|c={{r}}|{{Hr|3|p=A}}{{Hr|4|p=B}}{{Hr|5|p=C}}{{Hk|p=D}} }}
:{{cardholder|c={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|3|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hw|4|p=D|d=#324}} }} {{cardholder|c={{w}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hw|5|p=D|d=#324}} }}
 
'''white''' (1 clue + 3 plays + 4 empty = 8 turns)
|title2=What is the critical card?
|body2={{Hw|3}}
|title3=What is the critical move?
|body3='''Alice''' clues {{Hw|3|c}}
}}
 
{{infoBox |minWidth=max-content |state=collapsed
|title=Why it matters
|body='''Serialised:'''
:{{pill|Play {{Hr|3}}}} {{cardholder|{{Hr|3|p=A}}{{Hr|4|p=B}}{{Hr|5|p=C}}{{Hw|p=D|c=}} }} {{cardholder|{{Hk|p=A}}{{Hw|3|p=B}}{{Hk|p=C}}{{Hw|4|p=D}} }} {{cardholder|{{Hk|p=A}}{{Hk|p=B}}{{Hk|p=C}}{{Hw|5|p=D}} }}
:{{pill|Clue {{Hw|3}}}} {{cardholder|{{Hw|p=A|c=}}{{Hw|3|p=B}}{{Hk|p=C}}{{Hw|4|p=D}} }} {{cardholder|{{Hr|3|p=A}}{{Hr|4|p=B}}{{Hr|5|p=C}}{{Hw|5|p=D}} }}
}}
 
 
: {{Hr|2}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw|2}} {{pill|A) Play {{Hr|3}}}} {{pill|B) Clue {{Hw|3}}}}
 
 
{{cardholder|{{HBack}}{{HBack}}{{HBack|4|{{r}}|n=|c=}}{{HBack|3|{{r}}|n=|c=}} |Alice 🡲}}
{{cardholder|{{Hw|3}}{{Hk}}{{Hk}}{{Hk}} |Bob 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hk}}{{Hr|5|n=|c=}} |Cathy 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hk}}{{Hw|5|n=|c=}} |Donald 🡲}}
 
 
{{infoBox |minWidth=max-content |state=collapsed |color=green
|title=solution
|body='''1. Group by colour:'''
:{{cardholder|c={{r}}|{{Hr|3|p=A}}{{Hk|p=B}}{{Hk|p=C}}{{Hr|4|p=D}} }} {{cardholder|c={{r}}|{{Hk|p=A}}{{Hk|p=B}}{{Hr|5|p=C}}{{Hk|p=D}} }}
:{{cardholder|c={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|3|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hk|p=D|d=#324}} }} {{cardholder|c={{w}}|{{Hk|p=A|d=#324}}{{Hw|4|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hw|5|p=D|d=#324}} }}
'''2. Serialise:'''
:{{cardholder|{{Hr|3|p=A}}{{Hk|p=B}}{{Hk|p=C}}{{Hr|4|p=D}} }} {{cardholder|{{Hw|p=A|c=}}{{Hw|3|p=B}}{{Hr|5|p=C}}{{Hk|p=D}} }} {{cardholder|{{Hk|p=A}}{{Hw|4|p=B}}{{Hk|p=C}}{{Hw|5|p=D}} }}
:{{cardholder|{{Hw|p=A|c=}}{{Hw|3|p=B}}{{Hk|p=C}}{{Hk|p=D}} }} {{cardholder|{{Hr|3|p=A}}{{Hw|4|p=B}}{{Hk|p=C}}{{Hr|4|p=D}} }} {{cardholder|{{Hk|p=A}}{{Hk|p=B}}{{Hr|5|p=C}}{{Hw|5|p=D}} }}
}}
 
# Identify the critical colour - usually the player with the most unique cards, or consecutive cards of the same colour.
# Work out how many clue tokens are needed to reach the critical player.
# If you only have one unique card, discarding although counter-intuitive, is often the best move to generate a token!
 
This was a simple example. Test yourself with some '''[https://en.doc.boardgamearena.com/index.php?title=User:Sammy_McSam/Hanabi/Examples more complex examples]'''!
 
=== When to discard? ===
 
The endgame should be the easiest part since we can just calculate all possibilities, yet it is really hard to master.
 
With 5 '''flamboyants''', generating a token from a '''discard instead of a play''' may be the only way to reach the start of the critical path.
 
: {{HDeck|2}} {{Hr|4}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw|3}} {{Hclue|0}}
 
{{cardholder|{{HBack}}{{HBack}}{{HBack}}{{HBack|5|{{r}}|n=|c=}} |Alice 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hk}}{{Hk}} |Bob 🡲}}
{{cardholder|{{Hk}}{{Hk}}{{Hw|4|n=|c=}}{{Hw|5|n=|c=}} |Cathy 🡲}}
 
{{infoBoxes3 |minWidth=max-content |state=collapsed |color=rebeccapurple
|title1=What is the critical colour?
|body1='''Grouped by colour:'''
:{{cardholder|c={{w}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|4|p=C|d=#324}} }} {{cardholder|c={{w}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|5|p=C|d=#324}} }}
 
'''white''' (2 plays + 2 empty = 4 turns)
|title2=What is the critical card?
|body2={{Hw|4}}
|title3=Who is the critical player?
|body3='''Cathy'''
}}
 
* To reach Cathy with a least {{HDeck|1}} remaining, only one of Bob or Alice can draw a card.
* '''Alice''' cannot clue ({{Hclue|0|size=1.2}}) and '''must generate a token''' for Bob so that he can give a stall clue to avoid drawing the last card.
* Without 5 flamboyants Alice would just play her {{card|5}} which generates a token.
* With 5 flamboyants Alice can't know if playing her {{card|5}} will generate a token, so Alice '''discards''' and '''plays after''' Cathy's '''critical card''' ({{Hw|4}}).
 
==== General case with 5 flamboyants ====
 
When Alice '''does not have''' a card of the '''critical colour''', then '''discarding is better than playing!'''
 
=== Getting bottom decked ===
 
...is arguably the most 'unfair' part of Hanabi {{s:/}}.
 
Here's a '''[https://boardgamearena.com/archive/replay/250710-0850/?table=700345728&player=85540714&comments=84994396&goto=69 candidate for the worst ever bottom-decked situation]''': all three {{Hb|1}} in the last {{HDeck|5}} cards {{S:O}}
 
=== Order of plays ===
 
Where the order may seem arbitrary, prioritise from most out-of-order to consecutive plays
543, 435, 345
 
=== Replace flamboyant ===
 
The decision of which card to replace (or to skip) can communicate information to the team.
Priority highest to lowest:
# lowest rank unique
# lowest rank non-unique
#
 
 
 
Where all non-unique future-playable cards are visible player has
 
When there is no gain in returning a card playable in the future - either the immediate flamboyant will play from discard pile or , the decision of which trash card to replace into the deck can be a clue in itself corresponding to the slot position of a player.
When playing with black powder and 4 or 5 players, replacing an available 5k trash card indicates no playable card is visible.
 
with more stringent bluffs we get layered, and it is the most enjoyable part of the game for many
 
== 5 Flamboyants ==
 
Don't let the '5' fool you - there are actually '''six''' randomly selected actions:
# +1 clue token
# +1 clue token & -1 mistake
# give color clue
# give number clue
# Replace a card from the discard pile into the deck
# Play a card from the discard pile
 
A 7th stack bonus is always irrelevant (and on BGA always +1 clue token), since there is no 8th stack.
<!--
If you are not bottom-decked and don't lose any unique cards:
* 5 colors: only one of the discard flamboyants is guaranteed
* 6/7 colors: both discard flamboyants are guaranteed
 
If you are not bottom-decked and lose one unique card:
* 5 colors: no discard flamboyants are guaranteed
* 6 colors: one discard flamboyant is guaranteed
* 7 colors: both discard flamboyants are guaranteed


<div style=display:flex>
== <div style="background:linear-gradient(45deg,#aff,#cfd,#fff0 40rem);padding:.25rem .5rem;border-top-left-radius:.5rem;">5 Flamboyants</div> ==
{|class=wikitable
See [[User:Sammy_McSam/Hanabi2#5_Flamboyants|Hanabi conventions page 2]]
|+(not exactly) guaranteed scores if you are not bottom-decked
!style=text-align:right|Colors
!colspan=4|5
!colspan=4|6
!colspan=4|7
|-
!style=text-align:right|Uniques lost
!0
!1
!2
!3
!0
!1
!2
!3
!0
!1
!2
!3
|-
!style=text-align:left|Perfect
|✅
|❌
|❌
|❌
|✅
|✅
|❌
|❌
|✅
|✅
|❌
|❌
|-
!style=text-align:left|Perfect -1
|✅
|✅
|❌
|❌
|✅
|✅
|❌
|❌
|✅
|✅
|✅
|❌
|-
!style=text-align:left|Perfect -2
|✅
|✅
|✅
|❌
|✅
|✅
|✅
|❌
|✅
|✅
|✅
|✅
|-
!style=text-align:left|Perfect -3
|✅
|✅
|✅
|✅
|✅
|✅
|✅
|✅
|✅
|✅
|✅
|✅
|}</div>
-->
== {{pill|2 players|#aff|#cfd}} ==
 
=== When to discard a unique card ===
 
==== Without 5 flamboyants ====
 
* Unplayable
* Locked hand + {{Hclue|0}}
* Locked hand + {{Hclue|1}} + unique chop
Extra: Locked hand + {{Hclue|0}} + playable unique chop = bomb unique card as a [https://en.doc.boardgamearena.com/Gamehelphanabi#Advanced positional misplay]
 
==== With 5 flamboyants ====
 
* There is more flexibility with losing unique cards when the pick and/or play flamboyants are still available.
* Flamboyants create more complexity in decision making.
* Let's focus on the cases where you can be certain of a maximum score:
 
:{{Hr|4}}{{Hy|5}}{{Hg|5}}{{Hb|5}}{{Hw}} Discarded: {{Hw|2}}{{Hw|3}}{{Hw|4}}
 
Pick and play flams are both available
 
== {{pill|Available Tokens|#aff|#cfd}} ==
 
{{infoBox |maxWidth=650 |state=collapsed
|title=Average clue tokens per played card
|body=
Imagine the end of an <q>ideal</q> game (without flamboyants):
<hr>
{{player|3|size=2}}{{hand|5|size=2}}{{Hr|5}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw|5}}<br>
 
{{card|50|size=1.5}} (deck) ➖ {{card|25|size=1.5}} (played) ➖ {{card|12|size=1.5}} ({{player|3|size=1.5}}× at least{{hand|4}}) 🟰 {{card|13|size=1.5}} discards
 
{{Hclue|13}} (discards) ➕ {{Hclue|8}} (start) ➕ {{Hclue|5}} ({{Hr|5}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw|5}}) ➖ {{Hclue|1}} (last '''5''') 🟰 {{Hclue|25}}
 
{{Hclue|25}} ➗ {{card|25|size=1.5}} 🟰 {{Hclue|1}} / {{HCard}}
<hr>
{{player|5|size=2}}{{hand|4|size=2}}{{Hr|5}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw|5}} ⇨ {{Hclue|22}} ➗ {{card|25|size=1.5}} 🟰 {{Hclue|.88}} / {{HCard}}
<hr>
{{player|2|size=2}}{{hand|6|size=2}}{{Hr|5}} {{Hy|5}} {{Hg|5}} {{Hb|5}} {{Hw|5}} {{Hm|5}} {{Hk|1}} ⇨ {{Hclue|39}} ➗ {{card|35|size=1.5}} 🟰 {{Hclue|1.1}} / {{HCard}}
}}
 
<!--
== {{s:(}} ==
 
# {{player|2}} {{master}} join a {{player|5}} game and don't understand basic finesse {{s:O2}}
#
#
#
#
-->

Revision as of 01:24, 27 July 2025

⚠ Work in progress ⚠ Contains logic

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Interpretation

In order to play cooperatively, we need to mark playable cards to get them to play at the correct time. To maximise cooperation, we need to be able to predict the possible moves of other players. The cost of being able to predict moves is to limit the number of moves

  • If a card is playable, logically we assume it will be marked by a clue before it is discarded (unless there is another copy visible).
Valid clue types (not exhaustive)
Situation Response Receiver's Interpretation Clue type
Alice clues 2 to Cathy:

blue5,with a blue5clue,black powder,with a black powderclue,blue1,with a blue1clue,black powder,with a black powderclue, Bob 🡲

card back2,with a 2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲

Bob plays blue1,with a blue1clue, connects to card back2,with a 2clue, 🟰 blue2,with a blue2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲 Prompt:
  • 1 marked play connects to the target
Alice clues 2 to Cathy:

blue1,with a blue1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

card back2,with a 2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲

Bob plays blue1,with a blue1clue, connects to card back2,with a 2clue, 🟰 blue2,with a blue2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲 Finesse:
  • 1 unmarked play connects to the target
Alice clues b to Cathy:

blue1,with a blue1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

card back2,with a 2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲

Bob plays red1,with a red1clue, as blue1,with a blue1clue, 🟰 blue2,with a blue2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲 Bluff:
  • 1 unmarked play doesn't connect to the target

⚠ All bluff targets must be one card away from playable

Alice clues 3 to Donald:

red1,with a red1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

blue2,with a blue2clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

card back3,with a 3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲

Bob plays blue1,with a blue1clue, connects to card back3,with a 3clue, blue2,with a blue2clue, Cathy🟰 blue3,with a blue3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲 Long Finesse:
  • Multiple unmarked plays connect to the target
Cathy plays blue2,with a blue2clue, connects to blue3,with a blue3clue, 🟰 blue3,with a blue3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲
Alice clues 3 to Donald:

blue5,with a blue5clue,black powder,with a black powderclue,blue1,with a blue1clue,black powder,with a black powderclue, Bob 🡲

blue2,with a blue2clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

card back3,with a 3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲

Bob plays blue1,with a blue1clue, connects to card back3,with a 3clue, 🟰 blue3,with a blue3clue,blue2,with a blue2clue,card back,with a clue,card back,with a clue, Donald 🡲 Prompt + Finesse:
  • 1 marked play connects to the target
  • 1 unmarked play connects to the target
Cathy plays red1,with a red1clue, as blue2,with a blue2clue, blue2,with a blue2clue, 🟰 blue3,with a blue3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲
Alice clues 3 to Donald:

blue5,with a blue5clue,black powder,with a black powderclue,blue1,with a blue1clue,black powder,with a black powderclue, Bob 🡲

red1,with a red1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

card back3,with a 3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲

Bob plays blue1,with a blue1clue, connects to card back3,with a 3clue, 🟰 blue3,with a blue3clue,blue2,with a blue2clue,card back,with a clue,card back,with a clue, Donald 🡲 Prompt + Bluff:
  • 1 marked play connects to the target
  • 1 unmarked play doesn't connect to the target

⚠ This clue type is dangerous because Bob may not cooperate and try to bluff red1,with a red1clue, himself before responding to blue3,with a blue3clue,.

Cathy plays red1,with a red1clue, as blue2,with a blue2clue, blue2,with a blue2clue, 🟰 blue3,with a blue3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲
Alice clues 3 to Donald:

blue1,with a blue1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

red1,with a red1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

card back3,with a 3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲

Bob plays blue1,with a blue1clue, connects to card back3,with a 3clue, 🟰 blue3,with a blue3clue,blue2,with a blue2clue,card back,with a clue,card back,with a clue, Donald 🡲 Finesse + Bluff:
  • 1 unmarked play connects to the target
  • 1 unmarked play doesn't connect to the target
Cathy plays red1,with a red1clue, as blue2,with a blue2clue, blue2,with a blue2clue, 🟰 blue3,with a blue3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲
Alice clues b to Donald:

red1,with a red1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

blue2,with a blue2clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

card back3,with a 3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲

Bob plays red1,with a red1clue, as blue1,with a blue1clue, blue2,with a blue2clue, Cathy🟰 blue3,with a blue3clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲 Promise Bluff:
  • 1 unmarked play doesn't connect to the target
  • 1 unmarked promise to connect to the target
    (in the finesse position of at least one player)
Alice clues 4 to Emily:

blue1,with a blue1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

blue2,with a blue2clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

red1,with a red1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Donald 🡲

card back4,with a 4clue,card back,with a clue,card back,with a clue,card back,with a clue, Emily 🡲

Bob plays blue1,with a blue1clue, connects to card back4,with a 4clue, blue2,with a blue2clue, Cathy🟰 blue4,with a blue4clue,blue3,with a blue3clue,card back,with a clue,card back,with a clue, Emily 🡲 Long Finesse + Bluff:
  • Multiple marked plays connect to the target
  • 1 unmarked play doesn't connect to the target
Cathy plays blue2,with a blue2clue, connects to blue4,with a blue4clue, 🟰 blue4,with a blue4clue,blue3,with a blue3clue,card back,with a clue,card back,with a clue, Emily 🡲
Donald plays red1,with a red1clue, as blue3,with a blue3clue, blue3,with a blue3clue, 🟰 blue4,with a blue4clue,card back,with a clue,card back,with a clue,card back,with a clue, Emily 🡲
Alice clues 4 to Donald:

blue1,with a blue1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

red1,with a red1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

card back4,with a 4clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲

Bob plays blue1,with a blue1clue, connects to card back4,with a 4clue, 🟰 blue4,with a blue4clue,blue2,with a blue2clue,blue3,with a blue3clue,card back,with a clue, Donald 🡲 Finesse + Promise Bluff:
  • 1 marked play connects to the target
  • 1 unmarked play doesn't connect to the target
  • 1 unmarked promise to connect to the target
    (in the finesse position of at least one player)
Cathy plays red1,with a red1clue, as blue2,with a blue2clue, blue2,with a blue2clue, 🟰 blue4,with a blue4clue,blue3,with a blue3clue,card back,with a clue,card back,with a clue, Donald 🡲
Alice clues 2 to Donald:

blue1,with a blue1clue,blue5,with a blue5clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲

red1,with a red1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲

card back2,with a 2clue,card back,with a clue,card back,with a clue,card back,with a clue, Donald 🡲

Bob plays blue1,with a blue1clue, connects to card back2,with a 2clue, 🟰 blue2,with a blue2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲 Double Bluff:
  • 1 unmarked play appears to connect to the target
  • 1 unmarked play reveals neither connect to the target
Cathy plays red1,with a red1clue, as blue2,with a blue2clue, blue2,with a blue2clue, 🟰 card2,with a 2clue,card back,with a clue,card back,with a clue,card back,with a clue, Cathy 🡲


Extraction

It is possible to extract a card that is 'blocked' by an unplayable card using two clues.

  1. Clue the target with colour.
  2. Clue the target with number.
Example 1: avalanche
red,with a redclue, yellow1,with a yellow1clue, green,with a greenclue, blue,with a blueclue, white,with a whiteclue, multicolour,with a multicolourclue,

white5,with a white5clue,yellow4,with a yellow4clue,red3,with a red3clue,green5,with a green5clue, Bob 🡲 white4,with a white4clue,green4,with a green4clue,multicolour2,with a multicolour2clue,yellow2,with a yellow2clue, Cathy 🡲

  • Avalanche of colors option is on, so multicolour cards are marked by any colour clue.
  • Cathy's yellow2,with a yellow2clue, should play before it is discarded.
  • The focus of a 2 clue on its own will be multicolour2,with a multicolour2clue, and the focus of a yellow clue will also be multicolour2,with a multicolour2clue,.
  • Alice to Cathy: these 2 cards are yellow.

red,with a redclue, yellow1,with a yellow1clue, green,with a greenclue, blue,with a blueclue, white,with a whiteclue, multicolour,with a multicolourclue, white5,with a white5clue,yellow4,with a yellow4clue,red3,with a red3clue,green5,with a green5clue, Bob 🡲 white4,with a white4clue,green4,with a green4clue,multicolour2,with a 12clue,yellow2,with a yellow2clue, Cathy 🡲

  • Bob to Cathy: these 2 cards are 2s - this fix clue changes the focus from the left 2 to the other 2.

red,with a redclue, yellow1,with a yellow1clue, green,with a greenclue, blue,with a blueclue, white,with a whiteclue, multicolour,with a multicolourclue, white5,with a white5clue,yellow4,with a yellow4clue,red3,with a red3clue,green5,with a green5clue, Bob 🡲 white4,with a white4clue,green4,with a green4clue,multicolour2,with a 12clue,yellow2,with a yellow2clue, Cathy 🡲

  • Note: if a multicolour card is the intended target of a play clue, the clearest clue would be a colour that does not splash any other card.
Example 2: 5 colors
red,with a redclue, yellow,with a yellowclue, green,with a greenclue, blue,with a blueclue, white1,with a white1clue,
extract white2,with a white2clue,:
  1. Alice to Cathy: these 2 cards are white.
    • Focus is left.
    card back2,with a 2clue,card back3,with a 3clue,card back,with a clue,card back2,with a 2clue, Cathy 🡲 red2,with a red2clue,white3,with a white3clue,black powder,with a black powderclue,white2,with a white2clue, Cathy 🡲
  2. Bob to Cathy: these 2 cards are 2s.
    • Changes focus from left to right.
    card back2,with a 2clue,card back3,with a 3clue,card back,with a clue,card back2,with a 2clue, Cathy 🡲 red2,with a red2clue,white3,with a white3clue,black powder,with a black powderclue,white2,with a white2clue, Cathy 🡲
Example 3: avalanche
red,with a redclue, yellow,with a yellowclue, green,with a greenclue, blue,with a blueclue, white1,with a white1clue, multicolour,with a multicolourclue,
extract white2,with a white2clue, with avalanche:
  1. Alice to Cathy: these 3 cards are white.
    • Focus is left.
    card back2,with a 2clue,card back3,with a 3clue,card back,with a clue,card back2,with a 2clue, Cathy 🡲 multicolour2,with a white2clue,white3,with a white3clue,black powder,with a black powderclue,white2,with a white2clue, Cathy 🡲
  2. Bob to Cathy: these 2 cards are 2s.
    • Changes focus from left to right.
    card back2,with a 2clue,card back3,with a 3clue,card back,with a clue,card back2,with a 2clue, Cathy 🡲 multicolour2,with a white2clue,white3,with a white3clue,black powder,with a black powderclue,white2,with a white2clue, Cathy 🡲

Since black powder can't be clued with colour, extraction is a little different:

  1. Clue the target with number.
  2. Clue the card to the left of the target with colour.
Example 4: black powder
red,with a redclue, yellow,with a yellowclue, green,with a greenclue, blue,with a blueclue, white,with a whiteclue, black powder3,with a black powder3clue,
extract black powder2,with a black powder2clue,:
  1. Alice to Cathy: these 3 cards are 2s.
    • Focus is left.
    card back2,with a 2clue,card back2,with a 2clue,card back2,with a 2clue,card back,with a clue, Cathy 🡲 yellow2,with a yellow2clue,red2,with a red2clue,black powder2,with a black powder2clue,black powder,with a black powderclue, Cathy 🡲
  2. Bob to Cathy: this card is red.
    • Changes focus from left to right.
    card back2,with a 2clue,card back2,with a 2clue,card back2,with a 2clue,card back,with a clue, Cathy 🡲 yellow2,with a yellow2clue,red2,with a red2clue,black powder2,with a black powder2clue,black powder,with a black powderclue, Cathy 🡲

Why extraction works

  1. Alice gives a white colour clue to indicate to Bob that she is giving a play clue to Cathy.
  2. Bob has one job: don't let Cathy bomb. He sees that one of Cathy's marked white cards is playable, so he understands that he just has to help Cathy play the correct card:
  • If the leftmost white card is playable, Bob does not need to do anything.
  • If the leftmost white card is not playable, Bob needs to help with a follow-up fix clue.

Why colour before number?

  • In each colour, only one card can be playable (two with avalanche), whereas there can be many playable cards of a certain number. So Alice singles out one colour to help Bob know her intention is for him to help Cathy play the correct card.
  • A colour clue can mark a chop card without looking like a save.

How do I know it's not a finesse?

  • The leftmost card may be 1-away-from-playable.

But if Bob can see that one of the cards Alice marked with colour is playable, he will prefer to give a fix clue and not blind play his finesse position.

  • As Bob, consider the choice of clue:
    • if Alice wanted to finesse 2b with a playable 1m in front, why skip players to give specifically a blue clue (why not another colour or number?
    • if Alice wanted to finesse 4k with a playable 4r in front, why skip players to give specficially a 4 clue (why not red)?

The everlasting exception: context

Context > convention and can cause an unconventional move!

Think carefully about:

  1. timing (why now?),
  2. negative clues (e.g. "not red"),
  3. recently discarded cards,
  4. unique cards,
  5. tokens needed for saves or other plays

Examples

blue2,with a blue2clue,multicolour1,with a multicolour1clue,black powder,with a black powderclue,black powder,with a black powderclue,Cathy 🡲 multicolour1,with a multicolour1clue,blue2,with a blue2clue,black powder,with a black powderclue,black powder,with a black powderclue,Cathy 🡲

card back,with a clue,card back,with a clue,card back5,with a 5clue,card back5,with a 5clue,Bob 🡲 yellow4,with a yellow4clue,black powder4,with a black powder4clue,black powder,with a black powderclue,black powder,with a black powderclue,Cathy 🡲

card back,with a clue,card back,with a clue,card back5,with a 5clue,card back5,with a 5clue,Bob 🡲 yellow4,with a yellow4clue,black powder4,with a black powder4clue,black powder,with a black powderclue,black powder,with a black powderclue,Cathy 🡲

  • Alice clues 4s to Cathy. How should Bob respond?
Answer
With no context, the interpretation falls to the fewest blind plays: i.e. prefer to play the marked card back5,with a 5clue, as yellow3,with a yellow3clue, rather than slot 1 as black powder5,with a black powder5clue,.
What context could change this interpretation?
Some possible answers:
  1. Bob has negative 3.
  2. Bob had yellow2,with a yellow2clue, which was marked with number 2 instead of a number 3 fix, and either:
    1. Bob did not discard what would have been a trash 3
    2. yellow4,with a yellow4clue, was discarded when it could have easily been marked to prompt yellow3,with a yellow3clue,

In this game the context was 2.1: On move 23 a fix clue was given with number 2 instead of 3, Bob can know that their card back5,with a 5clue, is not yellow3,with a yellow3clue, (else the fix should be 3¹, not 2). This is why it is important for each player to pay attention to how their own cards are fixed (and what cards they discard afterwards).

¹Note that there are no trash 3s at this point. If there were at least one trash 3 (e.g. white3,with a white3clue, were played or already marked somewhere), Bob should only make this conclusion after discarding his unmarked card, to check that a 3 fix was not given due to bad touch.

When is it chop focus?

Travis Hall » 16 December 2023, 01:12

When playing with high-level partners, I generally try to regard a number clue touching chop as chop-focussed unless there is a timeliness consideration.[…]when giving a finesse, we can’t wait for the discard of the chop. For example:

Played: white2,with a white2clue, white3,with a white3clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, B 🡲 multicolour5,with a multicolour5clue,black powder,with a black powderclue,white4,with a white4clue,black powder4,with a black powder4clue, C 🡲

A clues 4 to C. Cluing white is blocked by multicolour5,with a multicolour5clue,. Cluing 4 can’t wait, because B will probably discard and white3,with a white3clue, will move out of finesse. C can note the finesse response and adjust their expectation to play the left 4.

And I try to consistently clue the same way.

I recognise that many masters will clue 2s non-chop-focussed in the early game. Frankly, I’m not a fan, as this forces me to guess who does this and who does not, but I will guess because my rate of error is lower that way. I understand the consideration that 2s are the most valuable cards, but I’m not sure the risks are worth it.

Whenever somebody touches my chop with a number clue and expects me to play from the left, and I misfire, my question is always “Well, if my cards were the opposite way around, how would you have clued them?” Of the few who will answer that question at all, the answer is usually, “I would clue <number>,” and they don’t understand that this makes it impossible for me to do anything other than guess.

Since we know we can extract a playable cards with colour + number clues, it follows that number clues that mark the chop card are interpreted as:

  1. Unique save if the chop card can be unique
  2. Double discard save if the player either side of the receiver has a non-unique card of the same number
  3. Otherwise a left-focused play clue.

black powder1,with a black powder1clue,

  • 1 clues that mark the chop card are interpreted as a black powder1,with a black powder1clue, save (unless the receiver already has a known play).
  • If a player can see black powder1,with a black powder1clue,, it is logical to play all cards marked 1 from oldest to newest.

The oldest is the most valuable 1 because otherwise it could have been discarded before cluing 1.

Playing a chop card marked 1 can be played because:

  1. black powder1,with a black powder1clue, is visible (and the player who can't see it is promised black powder1,with a black powder1clue,)
    • This player should then track the newest position that can be black powder1,with a black powder1clue,.
      • if this card reaches chop, it should not be saved with a direct clue.
      • if his card does receive a direct clue, it becomes a finesse.
  2. a playable 1 was discarded
  3. a playable 1 was not bluffed


The everlasting exception: context

Context > convention and can cause an unconventional move!

Think carefully about:

  1. timing (why now?),
  2. negative clues (e.g. "not red"),
  3. recently discarded cards,
  4. unique cards,
  5. tokens needed for saves or other plays
Example 1: double discard avoidance
Sometimes we need more information before we can know if a clue is a chop-focused save or a left-focused play clue.

Double discard avoidance saves are one of the most difficult clues to interpret because it's one of the very few times we can save non-unique cards without expecting a play response.

Nothing much is going on and there have not been any good ways to splash, give trash clues or otherwise delay one of the players.

Some players forbid a player from discarding if a double discard is possible
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Strategy

Back to basics

  • In a 5players player game with 4cards in hand each and avalanche, there are up to 30 possible moves per player (excluding flamboyants).
e.g. if each hand has one avalanche multicolour,with a multicolourclue, card.
  • In one round of play that means up to 150 possible unique positions!
  • That's a lot to think about. But amazingly our human brains can filter out the vast majority of those moves as not logical given a bit of agreement on clue, play and discard interpretations (conventions).

Hand management

When to skip players

(and how to irritate them cheeky)

DDA

Efficiency 8clue tokens

Bluffs

  • Bluffs are powerful...
  • Easiest way to mark nice cards
Maximizing bluff opportunities sunglasses
  • Once we realise the power of bluffs, it follows that we want to maximise the number of bluffing opportunities available to players.
  • In any given situation, it is possible to work out Alice's optimal move given the information available to her.
  • The basic idea is simple: look for the bluff opportunity that is furthest ahead.
  • Everyone should be making moves that enable that bluff opportunity to be used, and then work backwards from that player for the next opportunity.

So from Alice's point of view, she will see if:

  1. Donald can bluff Emily
  2. Cathy can bluff Donald
  3. Bob can bluff Cathy
  4. Alice can bluff Bob
Example 1
  1. Donald can bluff Emily
  2. Cathy cannot bluff Donald
  3. Bob can bluff Cathy
  4. Alice cannot bluff Bob

Then it's quite easy:

  1. Alice discards
  2. Bob bluffs Cathy
  3. Cathy discards
  4. Donald bluffs Emily
Example 2
Now if Alice can also bluff:
  1. Donald can bluff Emily
  2. Cathy cannot bluff Donald
  3. Bob can bluff Cathy
  4. Alice can bluff Bob

Then it's still easy:

  1. Alice either double bluffs Bob & Cathy or discards
  2. Bob responds or bluffs Cathy
  3. Cathy discards
  4. Donald bluffs Emily
Example 3
Now if Cathy can also bluff:
  • Donald can bluff Emily
  • Cathy cannot bluff Donald
  • Bob can bluff Cathy
  • Alice can bluff Bob
  • Then it's significantly more complicated for the team to predict, but not much more complex for Alice:

    1. Alice should probably discard (unless there is a really good bluff target available to her
    2. Bob makes a similar decision
    3. Cathy responds, double bluffs or discards
    4. Donald responds or bluffs Emily
    When to not save unique cards surprised
    • No matter how many tokens you have, whether it is 1clue tokens or 7clue tokens, you do not always have to spend a token to save a card. Some players might find this statement controversial.
    • Each player must consider the likelihood of a certain move and assess if the risk-reward of all the possible moves.

    #Back_to_basics We know that there are a lot of possible moves, and even more game states.

    Examples of clear good/bad

    Questionable examples

    Context examples

    When to Trash bluff
    • When you first learn about trash bluffs, you need to practice it and that's fine.
    • Once you are comfortable with how it works, you need to consider if you should use a trash bluff.
    • Examples where it is clearly bad
    Played: white1,with a white1clue, blue1,with a blue1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲 white1,with a white1clue,white1,with a white1clue,blue2,with a blue2clue,blue2,with a blue2clue, Cathy 🡲

    Reverses with number white3,with a white3clue,

    • Reverse finesses are often not great if the finessed card could instead be bluffed, however, it can be useful to mark a chop card as a reverse to ensure it is not discarded.
      e.g. Alice sees Bob has white2,with a white2clue, on chop and Donald just drew white1,with a white1clue,. Normally the best moves would be for Alice and Bob to discard so that Cathy can bluff Donald's white1,with a white1clue,, but white2,with a white2clue, is more valuable than any bluff target Alice can see, so she chooses to reverse with colour.

    But what if reversing with colour would mark trash?

    • If we can finesse with number, why can't we also reverse finesse with number?
    • A reverse with number is usually harder to read than a reverse with colour, but they can be a lot more efficient than colour + multiple correction clues (to prevent future bombs).

    Travis Hall gives a basic explanation of number reverses:

    Similarly, we often avoid number reverses, because if there’s both an available reverse to any card of that number and an immediately playable card of that number, the clue receiver has to guess at the correct move, and this can easily go wrong. Even so, when circumstance narrows the possibilities enough, we can sometimes do a number reverse safely.

    Multicolour reverses with colour multicolour3,with a multicolour3clue,

    Travis Hall explains it well:

    We usually avoid reverse finesses in multicolour, because although multi does connect with any colour, if we reverse multis then responses to our most common play clues - colour clues to a playable card - just stop, all of them, if a playable multi is in someone’s blind finesse position. That can be very difficult to work around.

    • Multicolour reverses with a single colour can work, the most common situation being where the clue giver and receiver can both see a playable card of the colour clued either marked or in the finesse position in someone else's hand.
    • Such a reverse may also trigger a hesitation play.

    When to GD

    1. Plays extra cards for free from one or more hands.
    2. Protect cards
    3. Token is needed

    GD without one of these benefits is usually of negative value:

    • Limits the freedom to clue.
    • Misleads the responder - the cards to the right of the copy is not trash.

    Context

    Using the last token 0clue tokens

    Cause a valuable discard

    • Marked in a hand
    • Unmarked in a hand

    Following player has a locked hand

    • Cause a trash or duplicate discard e.g. black powder5,with a black powder5clue, from 5 save.
    • Cause a play

    Negatives white5,with a white5clue,white4,with a white4clue,

    Write notes if necessary.

    1. Keep track of your own negatives.
    2. Keep rack of all negatives.

    Play finesse position e.g. multicolour bluff where:

    • a colour-marked card has a negative colour

    Multicolour bluff target is clued with a single colour

    • if it can be clued red, but another colour is chosen = finesse
    • if it can't be clued red = prompt


    Cluing

    Marking fewer than possible cards e.g. marking a single 2 with colour instead of multiple 2s with number = duplicate 2 in your hand

    no prompt

    no save = non-unique

    red,with a redclue, yellow5,with a yellow5clue, green5,with a green5clue, blue5,with a blue5clue, white,with a whiteclue, 2clue tokens
    card back,with a clue,card back,with a clue,card back,with a clue,card back,with a clue, Alice 🡲 white1,with a white1clue,red2,with a red2clue,black powder,with a black powderclue,white3,with a white3clue, Bob 🡲
    1. Alice to Bob: these 2 cards are white.
    2. Bob plays white1,with a white1clue,.
    3. Cathy to Alice: these 2 cards are white.
      card back2,with a 2clue,card back,with a clue,card back,with a clue,card back4,with a 4clue, Alice 🡲 black powder,with a black powderclue,red2,with a red2clue,black powder,with a black powderclue,white3,with a white3clue, Bob 🡲
    4. Alice plays white2,with a white2clue,.
    5. Bob discards his chop.
    6. Cathy discards.
      card back,with a clue,card back,with a clue,card back,with a clue,card back4,with a 4clue, Alice 🡲 white4,with a white4clue,black powder,with a black powderclue,red2,with a red2clue,white3,with a white3clue, Bob 🡲

    What is the best move for Alice?

    A) clue white3,with a white3clue, B) clue white4,with a white4clue, C) play card back4,with a 4clue, D) discard card back4,with a 4clue, E) discard chop card back,with a clue,

    solution
    D) discard card back4,with a 4clue,
    1. Alice's chop card was not marked before her free move to clue Bob, so she knows her oldest white card cannot be unique (white5,with a white5clue,).
    2. According to good touch, Alice can assume her white card is also not a 3 and could be a 4.
    3. Alice sees Bob has a valuable red2,with a red2clue, on chop, marked white3,with a white3clue, and unmarked white4,with a white4clue, in his finesse position.
    In order to delay the future discard of red2,with a red2clue,, the best move for Alice is to discard her non-unique white card to trigger Bob to play white3,with a white3clue,white4,with a white4clue,.

    Trash bluffs

    Stop trash bluffing 1s when 1k is not visible Would you trash bluff 5k when all 5s are not visible?

    black powder1,with a black powder1clue, tracking

    when you can know 1k certain

    how you can play chop 1s when 1k is still in the deck

    tricks to save on saving black powder1,with a black powder1clue,

    • when 1k is known somewhere and other cards are all marked later
    • when 1k is known somewhere and there are promised cards in the same hand
    • apply this principal generally is tricky because it can become unclear what has triggered a blind-play

    slot 3 blind plays

    certain 1k

    uncertain 2

    Consider this situation:

    • Alice clues Donald's blue5,with a blue5clue,

    card back,with a clue,card back,with a clue,card back,with a clue,card back,with a clue, Bob 🡲 blue1,with a blue1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲 black powder,with a black powderclue,black powder,with a black powderclue,blue5,with a blue5clue,red5,with a red5clue, Donald 🡲

    • Bob sees blue1,with a blue1clue, and correctly assumes he has blue2,with a blue2clue,blue3,with a blue3clue,blue4,with a blue4clue, and mentally congratulates Alice on a great clue.
    • So Bob saves red5,with a red5clue,:

    card back,with a clue,card back,with a clue,card back,with a clue,card back,with a clue, Bob 🡲 blue1,with a blue1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲 black powder,with a black powderclue,black powder,with a black powderclue,blue5,with a blue5clue,red5,with a red5clue, Donald 🡲

    • Cathy discards.
    • Donald discards.
    • Alice discards.
    • What should Bob do?

    A) discard chopB) clue blue1,with a blue1clue,C) play slot 1D) discard slot 1E) type "??" in chat

    Answer
    C) play slot 1 as blue1,with a blue1clue,

    Always remember to:

    1. assume your teammates are giving valid clues (whether it's a good clue is a whole other question!)
    2. stop and consider all possibilities
    3. not type any reaction to a move in chat because it will usually spoil the game for everyone because you:
      1. tell everyone you found the move strange
      2. distract everyone from thinking about the best moves
      3. may provoke a player who is insecure or prideful into an argument
    Discussion at the end of the game can benefit everyone: Bob and Cathy can explain why they didn't respond and the whole team can discuss if it was a good finesse.

    Passing back a finesse

    • Normally we know that if we finesse a card and more than one player has a copy of the same finessed card, the first player will not play it because they see it in another hand, and the last player who does not see a future response must play the card.
    • However sometimes we have a situation where it would be clearly a blunder to play.
    • In the last example, Cathy's choice to discard instead of play for blue1,with a blue1clue, was the correct choice given she saw all the connecting cards in Bob's hand. Note that if Cathy had a critical card on chop, this finesse would be a blunder.

    What if there were only one connecting card behind blue1,with a blue1clue,?

    • Alice clues Donald's blue4,with a blue4clue,

    blue1,with a blue1clue,blue3,with a blue3clue,black powder,with a black powderclue,black powder,with a black powderclue, Bob 🡲 blue1,with a blue1clue,black powder,with a black powderclue,black powder,with a black powderclue,black powder,with a black powderclue, Cathy 🡲 black powder,with a black powderclue,black powder,with a black powderclue,white4,with a white4clue,red5,with a red5clue, Donald 🡲

    • Bob sees blue1,with a blue1clue, in Cathy's hand, so he saves red5,with a red5clue,

    Or Cathy has both connecting cards as well?

    • Double pass back

    The point is that so long as an important card is not in danger of being discarded, the situation should always resolve itself without any more clues given.

    Endgame

    See Hanabi conventions page 2

    5 Flamboyants

    See Hanabi conventions page 2