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    Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10259/3811

    Título
    Strictly Dominated Strategies in the Replicator-Mutator Dynamics
    Autor
    Izquierdo, Segismundo S.
    Izquierdo Millán, Luis RodrigoAutoridad UBU Orcid
    Publicado en
    Games (2011), v.2, n.4, p.355-364
    Editorial
    MDPI
    Fecha de publicación
    2011-09
    ISSN
    2073-4336
    DOI
    10.3390/g2030355
    Abstract
    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
    Materia
    Industrial management
    Gestión de empresas
    URI
    http://hdl.handle.net/10259/3811
    Versión del editor
    http://www.mdpi.com/2073-4336/2/3/355
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