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Deterministic monotone dynamics and dominated strategies

  • Yannick Viossat

    ()

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS - Centre National de la Recherche Scientifique - Université Paris IX - Paris Dauphine)

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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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: https://hal.archives-ouvertes.fr/hal-00636620
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  1. Yannick Viossat, 2007. "The replicator dynamics does not lead to correlated equilibria," Post-Print hal-00664293, HAL.
  2. Yannick Viossat, 2008. "Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria," Post-Print hal-00360756, HAL.
  3. Antonio Cabrales & Joel Sobel, 2010. "On the Limit Points of Discrete Selection Dynamics," Levine's Working Paper Archive 432, David K. Levine.
  4. J. Hofbauer & J. Weibull, 2010. "Evolutionary Selection against dominated strategies," Levine's Working Paper Archive 444, David K. Levine.
  5. Antonio Cabrales, 1993. "Stochastic replicator dynamics," Economics Working Papers 54, Department of Economics and Business, Universitat Pompeu Fabra.
  6. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2003. "What to Maximize If You Must," Game Theory and Information 0303002, EconWPA.
  7. Cressman, Ross, 2005. "Stability of the replicator equation with continuous strategy space," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 127-147, September.
  8. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2007. "The Dynamic Evolution of Preferences," Economic Theory, Springer, vol. 32(2), pages 251-286, August.
  9. 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 bgse12_2005, University of Bonn, Germany.
  10. Ulrich Berger & Josef Hofbauer, 2004. "Irrational behavior in the Brown-von Neumann-Nash dynamics," Game Theory and Information 0409002, EconWPA, revised 09 Sep 2004.
  11. repec:dau:papers:123456789/1061 is not listed on IDEAS
  12. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer, vol. 19(1), pages 59-89.
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