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Musical chairs: modeling noisy evolution

Binmore, K.G.; Samuelson, L.; Vaughan, R.; (1995) Musical chairs: modeling noisy evolution. Games and Economic Behavior , 11 (1) pp. 1-35. 10.1006/game.1995.1039.

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Abstract

We examine an evolutionary process based on an explicit model of choice in which agents occasionally make mistakes in choosing their strategies. If the population size is sufficiently large, then the deterministic replicator dynamics provides a good approximation of the behavior of the system over finite time periods. The limiting behavior of the process is captured by combinatorial techniques introduced by Freidlin and Wentzell and popularized by Young and Kandori, Mailath, and Rob. We find conditions under which the limiting distribution selects the risk-dominant equilibrium in a 2 × 2 game and conditions under which the payoff-dominant equilibrium is selected.

Type: Article
Title: Musical chairs: modeling noisy evolution
DOI: 10.1006/game.1995.1039
Publisher version: http://dx.doi.org/10.1006/game.1995.1039
Language: English
Keywords: C70, C72
UCL classification: UCL > School of Arts and Social Sciences > Faculty of Social and Historical Sciences > Economics
URI: http://discovery.ucl.ac.uk/id/eprint/15634
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