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On Borel Probability Measures and Noncooperative Game Theory

Author

Listed:
  • J.B.G. Frenk

    (Faculty of Economics, Erasmus University Rotterdam)

  • G. Kassay

    (Faculty of Mathematics and Computer Science, Babes Bolayi University, Cluj)

  • V. Protassov

    (Dept. of Mechanics and Mathematics, Moscow State University, Moscow, Russia)

Abstract

In this paper the well-known minimax theorems of Wald, Ville and Von Neumann are generalized under weaker topological conditions on the payoff function f and/or extended to the larger set of the Borel probability measures instead of the set of mixed strategies.

Suggested Citation

  • J.B.G. Frenk & G. Kassay & V. Protassov, 2002. "On Borel Probability Measures and Noncooperative Game Theory," Tinbergen Institute Discussion Papers 02-093/4, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20020093
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    Cited by:

    1. Frenk, J.B.G. & Kassay, G., 2004. "Introduction to Convex and Quasiconvex Analysis," ERIM Report Series Research in Management ERS-2004-075-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Frenk, J.B.G. & Kas, P. & Kassay, G., 2004. "On linear programming duality and necessary and sufficient conditions in minimax theory," Econometric Institute Research Papers EI 2004-14, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

    More about this item

    Keywords

    Game theory.;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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