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Impartial game

In combinatorial game theory, an impartial game is a game in which the allowable moves depend only on the position and not on which of the two players is currently moving, and where the payoffs are symmetric. In other words, the only difference between player 1 and player 2 is that player 1 goes first. The game is played until a terminal position is…

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Overview

Combinatorial game theoryGameNimSproutsKayles
21 related topics

Heap game

SubclassDisjunctive sumOrdinalRulesetOctal games
5 related topics

Requirements

Minmaxed
1 related topics

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Overview

Requirements

Heap game

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Impartial game

Nodes31
Edges30
Triples19
Avg. degree1.94
Density0.064516
Components1

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Impartial game

Top relations

related to Requirements · 12
Impartial game → All, Any, As, Both, Cram, For, Impartial, In, Nim, No, There, Two
related to Heap game · 3
Impartial game → Every, Heap, Single-heap
is a · 1
Impartial game → game in which the allowable moves depend only on the position and not on which of the two players is currently moving

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Important terminology

game impartial games players nim vol player using isbn berlekamp must position one nimber heap conway guy chance operations moves

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Impartial gameis agame in which the allowable moves depend only on the position and not on which of the two players is currently moving0.90text
pokerinstance ofGames0.80text
dice or dominos are not impartial games as they rely on chance.Impartial games can be analyzed using the Spragueinstance ofGames0.80text
Domineeringinstance ofthough some partisan games can still be evaluated using nimbers0.80text
Impartial gamerelated to Heap gameHeap0.60section
Impartial gamerelated to Heap gameSingle-heap0.60section
Impartial gamerelated to Heap gameEvery0.60section
Impartial gamerelated to RequirementsAll0.60section
Impartial gamerelated to RequirementsTwo0.60section
Impartial gamerelated to RequirementsThere0.60section
Impartial gamerelated to RequirementsFor0.60section
Impartial gamerelated to RequirementsNim0.60section

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    Min side: 3
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