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Continuity of the payoff function revisited

Author

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  • Michael Zarichnyi

    (Lviv National University)

Abstract

The payoff function is defined on the product of the spaces of mixed strategies that are the spaces of probability measures on compact Hausdorff spaces. The continuity of the payoff function is recently proved by Glycopantis and Muir. Here we give an alternative proof that is essentially based on existence of Milyutin maps.

Suggested Citation

  • Michael Zarichnyi, 2004. "Continuity of the payoff function revisited," Economics Bulletin, AccessEcon, vol. 3(14), pages 1-4.
    • Handle: RePEc:ebl:ecbull:eb-03c70023
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    File URL: http://www.accessecon.com/pubs/EB/2004/Volume3/EB-03C70023A.pdf
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    Cited by:

    1. Aliprantis, Charalambos D. & Glycopantis, Dionysius & Puzzello, Daniela, 2006. "The joint continuity of the expected payoff functions," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 121-130, April.
    2. Roman Kozhan & Michael Zarichnyi, 2008. "Nash equilibria for games in capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 321-331, May.

    More about this item

    Keywords

    continuity;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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