Combinatorial Game Theory Combinatorics Math
Combinatorial Game Theory Combinatorics Math
Combinatorial game theory is a branch of mathematics devoted to studying the optimal strategy in perfect-information games with two or more players (typical), one player (puzzles), or zero players (like Conway's Game of Life).
Top: Science: Math: Combinatorics: Combinatorial Game Theory
See Also:
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John Conway's Game of LIfe - A simple Java implementation of Conway's classic game of life.
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Dice Theorem - How many ways are there of throwing n indistinguishable dice each with m faces?
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Phutball Endgames are Hard - Mathematical paper by Erik Demaine, Martin Demaine and David Eppstein on solving the Philosopher's Football game.
[PDF]
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One-Dimensional Phutball - Solution of the case of a restricted version called Oddish Phutball by presenting an explicit strategy in terms of a potential function.
[PDF]
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Jeff Erickson - Mathematical Games, Toys, and Puzzles - Links to several game theorists and actual games, plus a brief introduction. Also a couple of papers on game theory, about Toads and Frogs and Sowing Games.
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Erik Demaine's Combinatorial Games - Research on pushing blocks, Clickomania, Phutball, and sliding coins. Survey paper on algorithmic combinatorial game theory.
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Elwyn Berlekamp - Combinatorial Game Theory - Elwyn's research in the field, including several papers.
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Aviezri Fraenkel - A comprehensive bibliography on combinatorial games; several papers about combinatorial games; and information about where to publish such results.
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Introductory Combinatorial Game Theory - Description and analysis of several impartial and partial (partisan) combinatorial games by Lim Chu Wee.
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David Eppstein - Combinatorial Game Theory - Many up-to-date links, and a short introduction.
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Fair Dice - Includes a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures.
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