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Combinatorial Game Theory

Science > Math > Combinatorics > Combinatorial Game Theory

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  • Elwyn Berlekamp - Combinatorial Game Theory - http://math.berkeley.edu/~berlek/cgt/index.html
    • Elwyn's research in the field, including several papers.
  • 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.
  • David Eppstein - Combinatorial Game Theory - http://www.ics.uci.edu/~eppstein/cgt/
    • Many up-to-date links, and a short introduction.
  • 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.
  • Dice Theorem - http://www.hermetic.ch/misc/dice/dice1.htm
    • How many ways are there of throwing n indistinguishable dice each with m faces?
  • 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.
  • 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.
  • 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.
  • 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.

 
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