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On continuous ordinal potential games

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  • Kukushkin, Nikolai S.

Abstract

If the preferences of the players in a strategic game satisfy certain continuity conditions, then the acyclicity of individual improvements implies the existence of a Nash equilibrium. Moreover, starting from any strategy profile, an arbitrary neighborhood of the set of Nash equilibria can be reached after a finite number of individual improvements.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 20713.

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Date of creation: 15 Feb 2010
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Handle: RePEc:pra:mprapa:20713

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Keywords: potential game; compact-continuous game; finite improvement property;

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  1. Nikolai S. Kukushkin & Satoru Takahashi & Tetsuo Yamamori, 2005. "Improvement dynamics in games with strategic complementarities," International Journal of Game Theory, Springer, vol. 33(2), pages 229-238, 06.
  2. Voorneveld, M. & Norde, H.W., 1997. "A characterisation of ordinal potential games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-74020, Tilburg University.
  3. Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
  4. Kukushkin, Nikolai S., 2004. "Best response dynamics in finite games with additive aggregation," Games and Economic Behavior, Elsevier, vol. 48(1), pages 94-110, July.
  5. Voorneveld, M., 1996. "Equilibria and Approximate Equilibria in Infinite Potential Games," Discussion Paper 1996-94, Tilburg University, Center for Economic Research.
  6. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  7. Kukushkin, Nikolai S., 2002. "Perfect Information and Potential Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 306-317, February.
  8. Friedman, James W. & Mezzetti, Claudio, 2001. "Learning in Games by Random Sampling," Journal of Economic Theory, Elsevier, vol. 98(1), pages 55-84, May.
  9. Walker, Mark, 1977. "On the existence of maximal elements," Journal of Economic Theory, Elsevier, vol. 16(2), pages 470-474, December.
  10. Kukushkin, Nikolai S., 1999. "Potential games: a purely ordinal approach," Economics Letters, Elsevier, vol. 64(3), pages 279-283, September.
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