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DMOZ Internet Directory
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Science
Math
Combinatorics
Combinatorial Game Theory
13 Sites
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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John Conway's Game of LIfe
- A simple Java implementation of Conway's classic game of life.
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.
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.
Dice Theorem
- How many ways are there of throwing n indistinguishable dice each with m faces?
Introductory Combinatorial Game Theory
- Description and analysis of several impartial and partial (partisan) combinatorial games by Lim Chu Wee.
Fair Dice
- Includes a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures.
Phutball Endgames are Hard
- Mathematical paper by Erik Demaine, Martin Demaine and David Eppstein on solving the Philosopher's Football game.
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.
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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See Also
Game Theory
Science : Social Sciences : Economics
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Sprouts
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