Equilibria of Replicator Dynamics in Quantum Games
Abstract
Description
An evolutionarily stable strategy (ESS) was originally defined as a static concept but later given a dynamic characterization. A well known theorem in evolutionary game theory says that an ESS is an attractor of replicator dynamics but not every attractor is an ESS. We search for a dynamic characterization of ESSs in quantum games and find that in certain asymmetric bi-matrix games evolutionary stability of attractors can change as the game switches between its two forms, one classical and the other quantum.
Revised in the light of referees' comments, submitted to Nuovo Cimento B
Revised in the light of referees' comments, submitted to Nuovo Cimento B