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Home : Science : Math : Combinatorics : Combinatorial Game Theory
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).
Sites in Combinatorial Game Theory
Elwyn Berlekamp - Combinatorial Game Theory
Elwyn's research in the field, including several papers.
Aviezri Fraenkel
A comprehensive bibliography on combinatorial games; several papers about combinatorial games; and information about where to publish such results.
David Eppstein - Combinatorial Game Theory
Many up-to-date links, and a short introduction.
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."
Erik Demaine's Combinatorial Games
Research on pushing blocks, Clickomania, Phutball, and sliding coins. Survey paper on algorithmic combinatorial game theory.
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.
Games that interest John Conway
Clever Games for Clever People, from the book On Numbers and Games.
Dice Theorem
How many ways are there of throwing n indistinguishable dice each with m faces? |
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sub categories in Combinatorial Game Theory
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cross references
Games : Paper and Pencil : Dots and Boxes Games : Paper and Pencil : Sprouts Science : Social Sciences : Economics : Game Theory