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Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria

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  • Yannick Viossat

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

Abstract

We show on a 4x4 example that many dynamics may eliminate all strategies used in correlated equilibria, and this for an open set of games. This holds for the best-response dynamics, the Brown-von Neumann-Nash dynamics and any monotonic or weakly sign-preserving dynamics satisfying some standard regularity conditions. For the replicator dynamics and the best-response dynamics, elimination of all strategies used in correlated equilibrium is shown to be robust to the addition of mixed strategies as new pure strategies.

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Bibliographic Info

Paper provided by HAL in its series Post-Print with number hal-00360756.

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Date of creation: Jul 2008
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Publication status: Published, Mathematical Social Sciences, 2008, 56, 1, 27-43
Handle: RePEc:hal:journl:hal-00360756

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Keywords: Correlated equilibrium; Evolutionary dynamics; Elimination; As-if rationality;

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  18. Yannick Viossat, 2005. "Openness of the set of games with a unique correlated equilibrium," Working Papers hal-00243016, HAL.
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Cited by:
  1. Yannick Viossat, 2008. "Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria," Post-Print, HAL hal-00360756, HAL.
  2. Yannick Viossat, 2011. "Deterministic monotone dynamics and dominated strategies," Working Papers hal-00636620, HAL.
  3. Rene Saran & Roberto Serrano, 2012. "Regret Matching with Finite Memory," Dynamic Games and Applications, Springer, Springer, vol. 2(1), pages 160-175, March.
  4. Russell Golman, 2011. "Why learning doesn’t add up: equilibrium selection with a composition of learning rules," International Journal of Game Theory, Springer, Springer, vol. 40(4), pages 719-733, November.
  5. Yannick Viossat, 2012. "Game Dynamics and Nash Equilibria," Working Papers hal-00756096, HAL.

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