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Simple Equilibria In Semi-Infinite Games

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  • WOJCIECH POŁOWCZUK

    (Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland)

  • TADEUSZ RADZIK

    ()
    (Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland)

  • PIOTR WIȨCEK

    (Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland)

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    Abstract

    In the paper two-person nonzero-sum semi-infinite games with bounded payoffs are studied — both with countable and uncountable infinite strategy space. Under some concavity/convexity assumptions they are shown to possess ε-equilibria (equilibria) in strategies with supports consisting of at most two points of the players' pure strategy spaces. Further the games without any concavity/convexity properties are studied. It is proved that they possess ε-equilibria (equilibria) in strategies having certain finite supports.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

    Volume (Year): 14 (2012)
    Issue (Month): 03 ()
    Pages: 1250017-1-1250017-19

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    Handle: RePEc:wsi:igtrxx:v:14:y:2012:i:03:p:1250017-1-1250017-19

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    Related research

    Keywords: Two-person game; semi-infinite game; bounded payoff; infinite strategy space; concave payoff function; 91A05; 91A10;

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