RT info:eu-repo/semantics/article
T1 Strictly Dominated Strategies in the Replicator-Mutator Dynamics
A1 Izquierdo, Segismundo S.
A1 Izquierdo Millán, Luis Rodrigo
K1 replicator-mutator
K1 dominated strategies
K1 limit stationary states
K1 limit rest points
K1 Industrial management
K1 Empresas-Gestión
AB 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
PB MDPI
SN 2073-4336
YR 2011
FD 2011-09
LK http://hdl.handle.net/10259/3811
UL http://hdl.handle.net/10259/3811
LA eng
NO JCyL (GREX251-2009 and VA006B09), Ministry of Science and Innovation (TIN2008-06464-C03-02, DPI2010-16920 and CSD2010-00034), Ministry of Education (grant JC2009-00263)
DS Repositorio Institucional de la Universidad de Burgos
RD 27-abr-2024