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Survival of dominated strategies under evolutionary dynamics

Hofbauer, J. and Sandholm, W. (2007) Survival of dominated strategies under evolutionary dynamics. (ELSE Working Papers 285). ESRC Centre for Economic Learning and Social Evolution: London, UK.

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Abstract

We show that any evolutionary dynamic that satisfies three mild requirements— continuity, positive correlation, and innovation—does not eliminate strictly dominated strategies in all games. Likewise, we demonstrate that existing elimination results for evolutionary dynamics are not robust to small changes in the specifications of the dynamics.

Type:Working / discussion paper
Title:Survival of dominated strategies under evolutionary dynamics
Open access status:An open access version is available from UCL Discovery
Publisher version:http://else.econ.ucl.ac.uk/newweb/papers.php#2007
Language:English

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