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JACIII Vol.12 No.3 pp. 263-267
doi: 10.20965/jaciii.2008.p0263
(2008)

Paper:

Design and Implementation of Combinatorial Game Calculator

Kuo-Yuan Kao

Department of Information Management, National Penghu University, Penghu, Taiwan

Received:
April 20, 2007
Accepted:
September 13, 2007
Published:
May 20, 2008
Keywords:
combinatorial game theory, computer game, number theory, nimber, sumber
Abstract

The universal game calculator we developed based on a combinatorial game model features a general-purpose game analysis engine, unlike other game-specific programs. Users input game rules by defining game functions and input different game locations by describing game expressions, enabling the system to analyze optimal game strategies.

Cite this article as:
Kuo-Yuan Kao, “Design and Implementation of Combinatorial Game Calculator,” J. Adv. Comput. Intell. Intell. Inform., Vol.12, No.3, pp. 263-267, 2008.
Data files:
References
  1. [1] J. H. Conway, “On Numbers and Games,” Academic Press, New York, 1976.
  2. [2] E. R. Berlekamp, J. H. Conway, and R. K. Guy, “Winning Ways,” Academic Press, New York, 1982.
  3. [3] C. L. Bouton, “Nim: A Game With a Complete Mathematical Theory,” Annals of Math, Vol.3, pp. 35-39.
  4. [4] P. M. Grundy, “Mathematics and Games,” Eureka, 1939.
  5. [5] K. Y. Kao, “Sumbers – Sums of Ups and Downs,” Integers, E. Journal of Combinatorial Number Theory, Vol.2005.

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