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Ordinal Games

  • Jacques Durieu

    (CREUSET - Centre de Recherche Economique de l'Université de Saint Etienne - Université Jean Monnet - Saint-Etienne)

  • Hans Haller

    (Department of economics - Virginia Polytechnic Institute and State University)

  • Nicolas Quérou

    (School of Management and Economics - Queen's University of Belfast)

  • Philippe Solal

    (CREUSET - Centre de Recherche Economique de l'Université de Saint Etienne - Université Jean Monnet - Saint-Etienne)

We study strategic games where players' preferences are weak orders which need not admit utility representations. First of all, we ex- tend Voorneveld's concept of best-response potential from cardinal to ordi- nal games and derive the analogue of his characterization result: An ordi- nal game is a best-response potential game if and only if it does not have a best-response cycle. Further, Milgrom and Shannon's concept of quasi- supermodularity is extended from cardinal games to ordinal games. We ¯nd that under certain compactness and semicontinuity assumptions, the ordinal Nash equilibria of a quasi-supermodular game form a nonempty complete lattice. Finally, we extend several set-valued solution concepts from cardinal to ordinal games in our sense.

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Paper provided by HAL in its series Post-Print with number ujm-00194794.

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Date of creation: 01 Oct 2007
Date of revision:
Publication status: Published in Working Paper 07/74 CER-ETH - Center of Economic Research at ETH Zurich. 2007
Handle: RePEc:hal:journl:ujm-00194794
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