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Evolutionary dynamics may eliminate all strategies used in correlated equilibrium

  • Viossat, Yannick

We show on a 4×4 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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File URL: http://www.sciencedirect.com/science/article/pii/S0165-4896(08)00005-X
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Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 56 (2008)
Issue (Month): 1 (July)
Pages: 27-43

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Handle: RePEc:eee:matsoc:v:56:y:2008:i:1:p:27-43
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505565

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