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On saddlepoints of two-person zero-sum games with applications to data verification tests

Author

Listed:
  • Hans-Peter Battenberg

    (Ackermannstraße 16, D-80797 München, Germany)

  • Bernd-Jürgen Falkowski

    (Fachhochschule Stralsund, Fachbereich Wirtschaft, Zur Schwedenschanze 15, D-18435 Stralsund, Germany)

Abstract

A set of sufficient conditions for the existence of saddlepoint strategies of two-person zero-sum games is given which may be described as follows: The set of pure strategies for one of the two players is a compact metric space. His opponent has a best answer to each randomized strategy. The payoff function satisfies a continuity condition concerning the weak convergence of probability measures. These conditions are neither covered by those of well known existence theorems for saddlepoints nor do they generalize them. They are applied to treat important practical problems that have not been solved before.

Suggested Citation

  • Hans-Peter Battenberg & Bernd-Jürgen Falkowski, 1998. "On saddlepoints of two-person zero-sum games with applications to data verification tests," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 561-576.
  • Handle: RePEc:spr:jogath:v:27:y:1998:i:4:p:561-576
    Note: Received November 1995/Revised version August 1998
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