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N-person Nim andn-person Moore's Games

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Abstract

We present one way of definingn-person perfect information games so that there is a reasonable outcome for every game. In particular, the theory of Nim and Moore's games is generalized ton-person games.

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References

  • Bouton, C.L.: Nim, a Game with a Complete Mathematical Theory. Ann. Math., Princeton2 (3), 1902, 35–39.

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  • Sprague, R.: Über Mathematische Kampfspiele. Tohuky Math. J.41, 1935/36, 438–444.

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Authors and Affiliations

  1. University of Illinois at Chicago, 60680, Chicago, Illinois, USA

    S. -Y. R. Li

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  1. S. -Y. R. Li
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Li, S.Y.R. N-person Nim andn-person Moore's Games. Int J Game Theory 7, 31–36 (1978). https://doi.org/10.1007/BF01763118

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  • DOI: https://doi.org/10.1007/BF01763118

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