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91制片厂鈥檚 Craig Tennenhouse featured in international publication

Craig Tennenhouse

The International Journal of Game Theory has published an article by Craig Tennenhouse, Ph.D., associate professor in the Department of Mathematical Sciences.

Tennenhouse investigated the combinatorial game of Nim, a mathematical game of strategy. In the game, two players take turns removing stones from distinct heaps. On any given turn, a player may remove any number of stones. The player who removes the final stone wins.

In the article, Tennenhouse describes a winning strategy for play in a game involving two heaps, and extends this study to a greater number of heaps. To do this, he developed a new impartial modification using the idea of bogus Nim heaps and preventing loops. Tennenhouse also completely characterized the P-positions for the two-heap version, and solved the problem for a larger number of heaps dependent on counting integer partitions of a fixed size.

 

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