RT info:eu-repo/semantics/article T1 Strictly dominated strategies in the replicator-mutator dynamics A1 Izquierdo Millán, Segismundo Samuel A1 Izquierdo, Luis R. K1 Replicator-mutator K1 Dominated strategies K1 Limit stationary states K1 Limit rest points K1 53 Ciencias Económicas 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 LK https://uvadoc.uva.es/handle/10324/57419 UL https://uvadoc.uva.es/handle/10324/57419 LA eng NO Games, 2011, vol. 2, n. 3, p. 355-364 NO Producción Científica DS UVaDOC RD 29-mar-2024