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Determinateness of strategic games with a potential

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  • Henk Norde
  • Stef Tijs

Abstract

Finite potential games are determined, i.e have Nash equilibria in pure strategies. In this paper we investigate the determinateness of potential games, in which one or more players have infinitely many pure strategies. Copyright Springer-Verlag Berlin Heidelberg 1998

Suggested Citation

  • Henk Norde & Stef Tijs, 1998. "Determinateness of strategic games with a potential," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(3), pages 377-385, December.
    • Handle: RePEc:spr:mathme:v:48:y:1998:i:3:p:377-385
    DOI: 10.1007/s001860050034
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    References listed on IDEAS

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    1. Giovanni Facchini & Freek van Megen & Peter Borm & Stef Tijs, 1997. "Congestion Models And Weighted Bayesian Potential Games," Theory and Decision, Springer, vol. 42(2), pages 193-206, March.
    2. Tijs, S.H., 1981. "Nash equilibria for noncooperative n-person games in normal form," Other publications TiSEM 0af39700-5c65-4f49-bdc3-1, Tilburg University, School of Economics and Management.
    3. Slade, Margaret E, 1994. "What Does an Oligopoly Maximize?," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 45-61, March.
    4. Lucchetti, R. & Patrone, F. & Tijs, S.H., 1986. "Determinateness of two-person games," Other publications TiSEM 4a235fa8-1864-4937-8b25-5, Tilburg University, School of Economics and Management.
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    1. Voorneveld, Mark, 1997. "Equilibria and approximate equilibria in infinite potential games," Economics Letters, Elsevier, vol. 56(2), pages 163-169, October.
    2. Jacques Durieu & Hans Haller & Nicolas Querou & Philippe Solal, 2008. "Ordinal Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 177-194.
    3. Voorneveld, M., 1996. "Equilibria and Approximate Equilibria in Infinite Potential Games," Other publications TiSEM ba912d2a-7e99-45f6-b8ae-f, Tilburg University, School of Economics and Management.
    4. Fioravante Patrone & Lucia Pusillo & Stef Tijs, 2007. "Multicriteria games and potentials," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 138-145, July.

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