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Combinatorial Game Theory


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).


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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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David Eppstein - Combinatorial Game Theory - Many up-to-date links, and a short introduction.
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David Wolfe - Combinatorial Game Theory - Includes Gamesman Toolkit, which implements the mathematics of two-player games in Winning Ways; and Richard K. Guy's paper "Unsolved Problems in Combinatorial 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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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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Games that interest John Conway - Clever Games for Clever People, from the book On Numbers and Games.
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Dice Theorem - How many ways are there of throwing n indistinguishable dice each with m faces?
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