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Equilibria and approximate equilibria in infinite potential games

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  • Voorneveld, Mark

Abstract

Finite potential games have Nash equilibria in pure strategies.This note provides some results on the existence of equilibria or approximate equilibria if some players have infinite sets of strategies.
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Suggested Citation

  • Voorneveld, Mark, 1997. "Equilibria and approximate equilibria in infinite potential games," Economics Letters, Elsevier, vol. 56(2), pages 163-169, October.
    • Handle: RePEc:eee:ecolet:v:56:y:1997:i:2:p:163-169
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    References listed on IDEAS

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    1. Slade, Margaret E, 1994. "What Does an Oligopoly Maximize?," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 45-61, March.
    2. 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.
    3. Peleg, Bezalel & Potters, Jos A M & Tijs, Stef H, 1996. "Minimality of Consistent Solutions for Strategic Games, in Particular for Potential Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 81-93, January.
    4. Norde, H.W. & Tijs, S.H., 1996. "Determinateness of Strategic Games with a Potential," Other publications TiSEM 5713f5f9-f10f-4612-aa31-7, Tilburg University, School of Economics and Management.
    5. 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.
    6. Patrone, F. & Pieri, G. & Tijs, S.H. & Torre, A., 1996. "On Consistent Solutions for Strategic Games," Other publications TiSEM 07b489e5-dff2-45d0-bd65-1, Tilburg University, School of Economics and Management.
    7. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    Citations

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    Cited by:

    1. 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.
    2. Mallozzi, L. & Pusillo, L. & Tijs, S.H., 2006. "Approximate Equilibria for Bayesian Multi-Criteria Games," Other publications TiSEM 9ca36884-cabc-418b-a5a5-a, Tilburg University, School of Economics and Management.
    3. Christian Ewerhart, 2020. "Ordinal potentials in smooth games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1069-1100, November.
    4. Tercieux, O.R.C. & Voorneveld, M., 2005. "The Cutting Power of Preparation," Other publications TiSEM 75173341-627f-4eb2-91f1-0, Tilburg University, School of Economics and Management.
    5. Hannu Salonen, 2013. "Utilitarian Preferences and Potential Games," Discussion Papers 85, Aboa Centre for Economics.
    6. David P. Myatt & Chris Wallace, 2008. "On the Sources and Value of Information: Public Announcements and Macroeconomic Performance," Economics Series Working Papers 411, University of Oxford, Department of Economics.
    7. Kukushkin, Nikolai S., 2010. "On continuous ordinal potential games," MPRA Paper 20713, University Library of Munich, Germany.
    8. Olivier Tercieux & Mark Voorneveld, 2010. "The cutting power of preparation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 85-101, February.
    9. Nikolai Kukushkin, 2011. "Nash equilibrium in compact-continuous games with a potential," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 387-392, May.
    10. Mallozzi, L. & Pusillo, L. & Tijs, S.H., 2006. "Approximate Equilibria for Bayesian Multi-Criteria Games," Discussion Paper 2006-121, Tilburg University, Center for Economic Research.

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