Combinatorial Game Theory

See also:

• Games: Paper and Pencil: Dots and Boxes  (6)
• Games: Paper and Pencil: Sprouts  (6)
• Science: Social Sciences: Economics: Game Theory  (199)

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.