Paper:
Language: English:
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
Keywords: combinatorial game theory, computer game, number theory, nimber, sumber
Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.12, No.3 pp. 263-267, 2008
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.
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Reference
[1] J. H. Conway, “On Numbers and Games,” Academic Press, New York, 1976.
[2] E. R. Berlekamp, J. H. Conway, and R. K. Guy, “Winning Ways,” Academic Press, New York, 1982.
[3] C. L. Bouton, “Nim: A Game With a Complete Mathematical Theory,” Annals of Math, Vol.3, pp. 35-39.
[4] P. M. Grundy, “Mathematics and Games,” Eureka, 1939.
[5] K. Y. Kao, “Sumbers – Sums of Ups and Downs,” Integers, E. Journal of Combinatorial Number Theory, Vol.2005.
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