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On evolutionarily stable strategies and replicator dynamics in asymmetric two-population games

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Author Info

  • Elvio Accinelli

    ()
    (Facultad de Economía, Universidad Autónoma de san Luis Potosí. Departamento de Economía, Facultad de Ciencias Sociales, Universidad de la República)

  • Edgar J. Sánchez Carrera

    ()
    (Department of Economics at the University of Siena.)

Abstract

We analyze the main dynamical properties of the evolutionarily stable strategy ESS for asymmetric two-population games of finite size in its corresponding replicator dynamics. We introduce a defnition of ESS for two-population asymmetric games and a method of symmetrizing such an asymmetric game. Then, we show that every strategy profile of the asymmetric game corresponds to a strategy in the symmetric game, and that every Nash equilibrium (NE) of the asymmetric game corresponds to a (symmetric) NE of the symmetric version game. So, we study (standard) replicator dynamics for the asymmetric game and define corresponding (non-standard) dynamics of the symmetric game.

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File URL: http://www.fcs.edu.uy/archivos/1010.pdf
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Bibliographic Info

Paper provided by Department of Economics - dECON in its series Documentos de Trabajo (working papers) with number 1010.

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Length: 13 pages
Date of creation: Jul 2010
Date of revision:
Handle: RePEc:ude:wpaper:1010

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Keywords: Asymmetric game; Evolutionary games; ESS; Replicator dynamics.;

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