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Evolution in Partnership Games,an Equivalence Result

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  • Karl H. Schlag

    ()
    (Wirtschaftstheoretische Abteilung III, UniversitÙt Bonn, Adenauerallee 24-26, D-53113 Bonn, Germany)

Abstract

A partnership game is a two person game in which both players necessarily receive the same payoff. For symmetric partnership games it is shown that asymptotic stability with respect to the replicator dynamics, evolutionary stability (Maynard Smith and Price [1973], Thomas [1985]) and equilibrium evolutionary stability (Swinkels [1992]) are equivalent concepts. This equivalence result is also derived for asymmetric partnership games, both in the asymmetric contest (Selten[1980]) and in the two population setting (Balkenborg and Schlag [1994]). A side result shows for general games that equilibrium evolutionary stability is weaker than evolutionary stability.

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 298.

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Date of creation: Dec 1994
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Handle: RePEc:bon:bonsfb:298

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: Evolutionarily stable set; strict equilibrium set; equilibrium evolutionarily stable; local efficiency; replicator dynamics; asymptotic stability; minimal attracting set.;

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References

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  1. Karl H. Schlag, 1995. "Why Imitate, and if so, How? A Bounded Rational Approach to Multi-Armed Bandits," Discussion Paper Serie B, University of Bonn, Germany 361, University of Bonn, Germany, revised Mar 1996.
  2. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, The MIT Press, edition 1, volume 1, number 0262731215, December.
  3. A. Cabrales, 2010. "Stochastic Replicator Dynamics," Levine's Working Paper Archive 489, David K. Levine.
  4. repec:att:wimass:9325 is not listed on IDEAS
  5. Schlag, Karl H., 1994. "Why Imitate, and if so, How? Exploring a Model of Social Evolution," Discussion Paper Serie B, University of Bonn, Germany 296, University of Bonn, Germany.
  6. Blume, A. & Kim, Y.G. & Sobel, J., 1993. "Evolutionary Stability in Games of Communication," Working Papers, University of Iowa, Department of Economics 93-07, University of Iowa, Department of Economics.
  7. Van Damme, Eric, 1994. "Evolutionary game theory," European Economic Review, Elsevier, Elsevier, vol. 38(3-4), pages 847-858, April.
  8. P. Taylor & L. Jonker, 2010. "Evolutionarily Stable Strategies and Game Dynamics," Levine's Working Paper Archive 457, David K. Levine.
  9. Karl H. Schlag & Dieter Balkenborg, 2001. "Evolutionarily stable sets," International Journal of Game Theory, Springer, Springer, vol. 29(4), pages 571-595.
  10. Swinkels, J., 1991. "Evolutionary Stability with Equilibrium Entrants," Papers, Stanford - Institute for Thoretical Economics 9, Stanford - Institute for Thoretical Economics.
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Cited by:
  1. Karl H. Schlag, . "When Does Evolution Lead to Efficiency in Communication Games?," ELSE working papers, ESRC Centre on Economics Learning and Social Evolution 026, ESRC Centre on Economics Learning and Social Evolution.

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