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Localization of optimal strategies in certain games

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  • Arthur T. Benjamin
  • A. J. Goldman

Abstract

Assume the payoffs of a matrix game are concave in the index of the maximizing player. That player is shown to have an optimal strategy which uses at most two consecutive pure strategies, identifiable through approximate solution of a related continuous game. Generalizations are given, and the results are applied to a motivating hidden‐target model due to Shapley. © 1994 John Wiley & Sons, Inc.

Suggested Citation

  • Arthur T. Benjamin & A. J. Goldman, 1994. "Localization of optimal strategies in certain games," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(5), pages 669-676, August.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:5:p:669-676
    DOI: 10.1002/1520-6750(199408)41:53.0.CO;2-B
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    References listed on IDEAS

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    1. Nimrod Megiddo, 1979. "Combinatorial Optimization with Rational Objective Functions," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 414-424, November.
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