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Combinatorial Game Theory


Directory > Science > Math > Combinatorics > Combinatorial Game Theory

Software (2)
Related Categories:
   Science > Social_Sciences > Economics > Game_Theory (177)
   Games > Paper_and_Pencil > Dots_and_Boxes (5)
   Games > Paper_and_Pencil > Sprouts (4)


1,235 Listings - DR (8/10)1,235 Listings - DR (8/10) Erik Demaine's Combinatorial Games - http://theory.lcs.mit.edu/~edemaine/games/
Research on pushing blocks, Clickomania, Phutball, and sliding coins. Survey paper on algorithmic combinatorial game theory.
8 Listings - DR (6/10)8 Listings - DR (6/10) Fair Dice - http://www.mathpuzzle.com/Fairdice.htm
Includes a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures.
99 Listings - DR (6/10)99 Listings - DR (6/10) John Conway's Game of LIfe - http://psych.hanover.edu/JavaTest/Play/Life.html
A simple Java implementation of Conway's classic game of life.
1,496 Listings - DR (6/10)1,496 Listings - DR (6/10) Elwyn Berlekamp - Combinatorial Game Theory - http://math.berkeley.edu/~berlek/cgt/index.html
Elwyn's research in the field, including several papers.
489 Listings - DR (6/10)489 Listings - DR (6/10) David Eppstein - Combinatorial Game Theory - http://www.ics.uci.edu/~eppstein/cgt/
Many up-to-date links, and a short introduction.
56 Listings - DR (4/10)56 Listings - DR (4/10) Phutball Endgames are Hard - http://www.msri.org/publications/books/Book42/files/dephut.pdf
Mathematical paper by Erik Demaine, Martin Demaine and David Eppstein on solving the Philosopher's Football game.
56 Listings - DR (4/10)56 Listings - DR (4/10) One-Dimensional Phutball - http://www.msri.org/publications/books/Book42/files/grossman.pdf
Solution of the case of a restricted version called Oddish Phutball by presenting an explicit strategy in terms of a potential function.
1,605 Listings - DR (3/10)1,605 Listings - DR (3/10) Jeff Erickson - Mathematical Games, Toys, and Puzzles - http://compgeom.cs.uiuc.edu/~jeffe/mathgames.html
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.
36 Listings - DR (1/10)36 Listings - DR (1/10) Dice Theorem - http://www.hermetic.ch/misc/dice/dice1.htm
How many ways are there of throwing n indistinguishable dice each with m faces?
On Target - DR (0/10)On Target - DR (0/10) Aviezri Fraenkel - http://www.wisdom.weizmann.ac.il/~fraenkel
A comprehensive bibliography on combinatorial games; several papers about combinatorial games; and information about where to publish such results.
On Target - DR (0/10)On Target - DR (0/10) Introductory Combinatorial Game Theory - http://sps.nus.edu.sg/%7elimchuwe/cgt/
Description and analysis of several impartial and partial (partisan) combinatorial games by Lim Chu Wee.

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