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Título : Strictly Dominated Strategies in the Replicator-Mutator Dynamics
Autor : Izquierdo, Segismundo S.
Izquierdo Millán, Luis Rodrigo
Publicado en: Games (2011), v.2, n.4, p.355-364
Editorial : MDPI
Fecha de publicación : sep-2011
ISSN : 2073-4336
DOI: 10.3390/g2030355
Resumen : The replicator-mutator dynamics is a set of differential equations frequently used in biological and socioeconomic contexts to model evolutionary processes subject to mutation, error or experimentation. The replicator-mutator dynamics generalizes the widely used replicator dynamics, which appears in this framework as the extreme case where replication is perfectly precise. This paper studies the influence of strictly dominated strategies on the location of the rest points of the replicator-mutator dynamics, at the limit where the mutation terms become arbitrarily small. It can be proved that such limit rest points for small mutation are Nash equilibria, so strictly dominated strategies do not occur at limit stationary points. However, we show through a simple case how strictly dominated strategies can have an influence on the location of the limit rest points for small mutation. Consequently, the characterization of the limit rest points of the replicator-mutator dynamics cannot in general proceed safely by readily eliminating strictly dominated strategies
Palabras clave: replicator-mutator
dominated strategies
limit stationary states
limit rest points
URI : http://hdl.handle.net/10259/3811
Versión del editor: http://www.mdpi.com/2073-4336/2/3/355
Aparece en las colecciones: Artículos Organización de Empresas

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