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Equilibria of Replicator Dynamics in Quantum Games | | Azhar Iqbal
; A. H. Toor
; | | Date: |
24 Jun 2001 | | Subject: | Quantum Physics; Adaptation and Self-Organizing Systems | quant-ph nlin.AO | | Abstract: | 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. | | Source: | arXiv, quant-ph/0106135 | | Services: | Forum | Review | PDF | Favorites | |
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