dorsal/arxiv
View SchemaEquilibria of Replicator Dynamics in Quantum Games
| Authors | Azhar Iqbal, A. H. Toor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106135 |
| URL | https://arxiv.org/abs/quant-ph/0106135 |
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.
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"abstract": "An evolutionarily stable strategy (ESS) was originally defined as a static\nconcept but later given a dynamic characterization. A well known theorem in\nevolutionary game theory says that an ESS is an attractor of replicator\ndynamics but not every attractor is an ESS. We search for a dynamic\ncharacterization of ESSs in quantum games and find that in certain asymmetric\nbi-matrix games evolutionary stability of attractors can change as the game\nswitches between its two forms, one classical and the other quantum.",
"arxiv_id": "quant-ph/0106135",
"authors": [
"Azhar Iqbal",
"A. H. Toor"
],
"categories": [
"quant-ph",
"nlin.AO"
],
"title": "Equilibria of Replicator Dynamics in Quantum Games",
"url": "https://arxiv.org/abs/quant-ph/0106135"
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