2026-04-28T14:05:17Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/38112024-05-13T10:38:52Zcom_10259_3830com_10259_5086com_10259_2604col_10259_3832
Repositorio Institucional de la Universidad de Burgos
author
Izquierdo, Segismundo S.
author
Izquierdo Millán, Luis Rodrigo
2015-08-25T10:18:27Z
2015-08-25T10:18:27Z
2011-09
2073-4336
http://hdl.handle.net/10259/3811
10.3390/g2030355
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
eng
Attribution-NonCommercial-NoDerivatives 4.0 International
Replicator-mutator
Dominated strategies
Limit stationary states
Limit rest points
Strictly Dominated Strategies in the Replicator-Mutator Dynamics
info:eu-repo/semantics/article
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