Equilibria of Replicator Dynamics in Quantum Games
量子物理
2007-05-23 v2 适应与自组织系统
摘要
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.
引用
@article{arxiv.quant-ph/0106135,
title = {Equilibria of Replicator Dynamics in Quantum Games},
author = {Azhar Iqbal and A. H. Toor},
journal= {arXiv preprint arXiv:quant-ph/0106135},
year = {2007}
}
备注
Revised in the light of referees' comments, submitted to Nuovo Cimento B