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Combinatorial game theory

Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Research in this field has primarily focused on two-player games in which a position evolves through alternating moves, each governed by well-defined rules, with the aim of achieving a specific winning…

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Overview

Difference with traditional game theory

History

Examples

Game abbreviations

Nimbers

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Combinatorial game theory

Nodes78
Edges77
Triples106
Avg. degree1.97
Density0.025641
Components1

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Combinatorial game theory

Top relations

related to References · 45
Combinatorial game theory → Academic Press, Albert, An Introduction, Beck, Berlekamp, Bewersdorff, Cambridge University Press, Chilling Gets, Combinatorial, Computation, Conway, David, Demaine, Elwyn, Erik, Games, Guy, Hearn, ISBN, John Horton
related to history · 20
Combinatorial game theory → Berlekamp, Combinatorial, Conway, Conway's, Elwyn, Games, Grundy, Guy, However, In, John, Mathematical Plays, Nim, On Numbers, ONAG, One, Richard, Sprague, Their, Winning Ways
related to overview · 10
Combinatorial game theory → A1, C2, D3, D4, In, The, Then, This, Using Domineering, We
related to External links · 9
Combinatorial game theory → Banff International Research Station, Bill SpightCombinatorial Game Theory, Conway's, David EppsteinAn Introduction, Dierk Schleicher, June, List, Michael StollCombinational Game Theory, Workshop
related to Difference with traditional game theory · 5
Combinatorial game theory → AI, Combinatorial, However, The, While
related to Up and down · 5
Combinatorial game theory → In, Its, Mathematical Plays, Up, Winning Ways
is a · 1
Combinatorial game theory → branch of mathematics and theoretical computer science that typically studies sequential games with perfect information
see also · 1
Combinatorial game theory → Alpha

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Important terminology

game games combinatorial theory player numbers isbn one play nim mathematical moves chess move position players impartial go complex solved

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Combinatorial game theoryis abranch of mathematics and theoretical computer science that typically studies sequential games with perfect information0.90text
chessinstance ofwith definitions tailored to the specific game under analysis rather than reflecting the field's full scope.Combinatorial games include well-known examples0.80text
checkersinstance ofwith definitions tailored to the specific game under analysis rather than reflecting the field's full scope.Combinatorial games include well-known examples0.80text
and Goinstance ofwith definitions tailored to the specific game under analysis rather than reflecting the field's full scope.Combinatorial games include well-known examples0.80text
which are considered complexinstance ofwith definitions tailored to the specific game under analysis rather than reflecting the field's full scope.Combinatorial games include well-known examples0.80text
non-trivialinstance ofwith definitions tailored to the specific game under analysis rather than reflecting the field's full scope.Combinatorial games include well-known examples0.80text
as well as simplerinstance ofwith definitions tailored to the specific game under analysis rather than reflecting the field's full scope.Combinatorial games include well-known examples0.80text
Conway's Game of Lifeinstance ofand zero-player automata0.80text
artificial intelligenceinstance ofThe types of games studied in this field are of particular interest in areas0.80text
especially for tasks in automated planninginstance ofThe types of games studied in this field are of particular interest in areas0.80text
schedulinginstance ofThe types of games studied in this field are of particular interest in areas0.80text
Combinatorial game theoryrelated to Difference with traditional game theoryCombinatorial0.60section

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