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arXiv · 0902.1964

Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria

Yannick Viossat
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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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Yannick Viossat. 2009-02-11. Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria. https://doi.org/10.1016/j.mathsocsci.2007.12.001

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