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Deterministic monotone dynamics and dominated strategies

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  • Yannick Viossat

    ()
    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS : UMR7534 - Université Paris Dauphine - Paris IX)

Abstract

We survey and unify results on elimination of dominated strategies by monotonic dynamics and prove some new results that may be seen as dual to those of Hofbauer and Weibull (J. Econ. Theory, 1996, 558-573) on convex monotonic dynamics.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number hal-00636620.

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Date of creation: 26 Oct 2011
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Handle: RePEc:hal:wpaper:hal-00636620

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00636620/en/
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Related research

Keywords: evolutionary game theory; evolutionary dynamics ; dominated strategies; monotonic dynamics;

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  1. Viossat, Yannick, 2007. "The replicator dynamics does not lead to correlated equilibria," Games and Economic Behavior, Elsevier, Elsevier, vol. 59(2), pages 397-407, May.
  2. J. Hofbauer & J. Weibull, 2010. "Evolutionary Selection against dominated strategies," Levine's Working Paper Archive 444, David K. Levine.
  3. Antonio Cabrales & Joel Sobel, 2010. "On the Limit Points of Discrete Selection Dynamics," Levine's Working Paper Archive 432, David K. Levine.
  4. HEIFETZ, Aviad & SHANNON, Chris & SPIEGEL, Yossi, 2003. "What to maximize if you must," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2003047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Antonio Cabrales, 1993. "Stochastic replicator dynamics," Economics Working Papers, Department of Economics and Business, Universitat Pompeu Fabra 54, Department of Economics and Business, Universitat Pompeu Fabra.
  6. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer, Springer, vol. 19(1), pages 59-89.
  7. Cressman, Ross, 2005. "Stability of the replicator equation with continuous strategy space," Mathematical Social Sciences, Elsevier, Elsevier, vol. 50(2), pages 127-147, September.
  8. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2005. "The Dynamic Evolution of Preferences," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 1415, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Berger, Ulrich & Hofbauer, Josef, 2006. "Irrational behavior in the Brown-von Neumann-Nash dynamics," Games and Economic Behavior, Elsevier, Elsevier, vol. 56(1), pages 1-6, July.
  10. Viossat, Yannick, 2008. "Evolutionary dynamics may eliminate all strategies used in correlated equilibrium," Mathematical Social Sciences, Elsevier, Elsevier, vol. 56(1), pages 27-43, July.
  11. Ross Cressman & Josef Hofbauer & Frank Riedel, 2005. "Stability of the Replicator Equation for a Single-Species with a Multi-Dimensional Continuous Trait Space," Bonn Econ Discussion Papers, University of Bonn, Germany bgse12_2005, University of Bonn, Germany.
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Cited by:
  1. Yannick Viossat, 2012. "Game Dynamics and Nash Equilibria," Working Papers, HAL hal-00756096, HAL.

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