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Article Dans Une Revue Mathematical Social Sciences Année : 2008

Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria

Résumé

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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Dates et versions

hal-00360756 , version 1 (11-02-2009)

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Yannick Viossat. Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria. Mathematical Social Sciences, 2008, 56 (1), pp.27-43. ⟨10.1016/j.mathsocsci.2007.12.001⟩. ⟨hal-00360756⟩
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