Combinatorial Game Theory

See also:

• Games: Paper and Pencil: Dots and Boxes  (6)
• Games: Paper and Pencil: Sprouts  (5)
• Science: Social Sciences: Economics: Game Theory  (188)

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..

Dice Theorem - How many ways are there of throwing n indistinguishable dice each with m faces?.

Elwyn Berlekamp - Combinatorial Game Theory - Elwyn's research in the field, including several papers..

Erik Demaine's Combinatorial Games - Research on pushing blocks, Clickomania, Phutball, and sliding coins. Survey paper on algorithmic combinatorial game theory..

Fair Dice - Includes a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures..

Introductory Combinatorial Game Theory - Description and analysis of several impartial and partial (partisan) combinatorial games by Lim Chu Wee..

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..

John Conway's Game of LIfe - A simple Java implementation of Conway's classic game of life..

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].

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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