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The matrix game derived from the many‐against‐many battle

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  • Kensaku Kikuta

Abstract

The many‐against‐many battle, which is a variant of the Friedman's one‐against‐many battle, is formulated as a two‐person constant‐sum game. It is shown that the matrix which expresses this game has a saddle point. Some cases are presented in which the payoff matrix of the game can be reduced. Finally, some parametrically special cases are analyzed.

Suggested Citation

  • Kensaku Kikuta, 1986. "The matrix game derived from the many‐against‐many battle," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(4), pages 603-612, November.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:4:p:603-612
    DOI: 10.1002/nav.3800330406
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    Cited by:

    1. Kyle Y. Lin, 2014. "New results on a stochastic duel game with each force consisting of heterogeneous units," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(1), pages 56-65, February.

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