Design and Implementation of Combinatorial Game Calculator
Department of Information Management, National Penghu University, Penghu, Taiwan
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.
-  J. H. Conway, “On Numbers and Games,” Academic Press, New York, 1976.
-  E. R. Berlekamp, J. H. Conway, and R. K. Guy, “Winning Ways,” Academic Press, New York, 1982.
-  C. L. Bouton, “Nim: A Game With a Complete Mathematical Theory,” Annals of Math, Vol.3, pp. 35-39.
-  P. M. Grundy, “Mathematics and Games,” Eureka, 1939.
-  K. Y. Kao, “Sumbers – Sums of Ups and Downs,” Integers, E. Journal of Combinatorial Number Theory, Vol.2005.
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