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Ordinality in non cooperative games

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  • MERTENS, Jean-François

Abstract

We first analyse what a conceptual definition of ordinality for non cooperative games should be. The resulting concept is highly abstract and apparently unmanageable. Nevertheless we obtain in a second part a very simple and fully operational characterization. In the last part, this is used to check the ordinality of a number of concepts that have been proposed in the literature. Copyright Springer-Verlag 2004

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File URL: http://dx.doi.org/10.1007/s001820400166
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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number -1738.

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Handle: RePEc:cor:louvrp:-1738

Note: In : International Journal of Game Theory, 32, 387-430, 2003.
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Cited by:
  1. Fabrizio Germano, 2003. "On some geometry and equivalence classes of normal form games," Economics Working Papers 669, Department of Economics and Business, Universitat Pompeu Fabra.
  2. Morris, Stephen Morris & Takashi Ui, 2002. "Best Response Equivalence," Cowles Foundation Discussion Papers 1377, Cowles Foundation for Research in Economics, Yale University.
  3. Vermeulen,Dries & Jansen,Mathijs, 1997. "The reduced form of a game," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  4. Carlsson, H. & Van Damme, E., 1989. "Global Payoff Uncertainty And Risk Dominance," Papers 8933, Tilburg - Center for Economic Research.
  5. 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.
  6. Vermeulen,Dries & Jansen,Mathijs, 1997. "The reduced form of a game," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  7. Balkenborg, D. & Jansen, M. & Vermeulen, D., 1998. "Invariance properties of persistent equilibria and related solution concepts," Discussion Paper Series In Economics And Econometrics 9806, Economics Division, School of Social Sciences, University of Southampton.
  8. De Sinopoli, Francesco & Pimienta, Carlos, 2009. "Undominated (and) perfect equilibria in Poisson games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 775-784, July.
  9. John Hillas & Elon Kohlberg, 1996. "Foundations of Strategic Equilibrium," Game Theory and Information 9606002, EconWPA, revised 18 Sep 1996.
  10. Amanda Friedenberg, 2006. "Can Hidden Variables Explain Correlation? (joint with Adam Brandenburger)," Theory workshop papers 815595000000000005, UCLA Department of Economics.
  11. GERMANO, Fabrizio, 1998. "On Nash equivalence classes of generic normal form games," CORE Discussion Papers 1998033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Govindan, Srihari & Wilson, Robert B., 2007. "Stable Outcomes of Generic Games in Extensive Form," Research Papers 1933r, Stanford University, Graduate School of Business.

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