dorsal/arxiv
View SchemaStability of mixed Nash equilibria in symmetric quantum games
| Authors | A. Iqbal, A. H. Toor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106056 |
| URL | https://arxiv.org/abs/quant-ph/0106056 |
| Journal | Communications in Theoretical Physics. Vol. 42, No. 3, pp 335-338, 2004 |
Abstract
In bi-matrix games the Bishop-Cannings theorem of the classical evolutionary game theory does not permit pure evolutionarily stable strategies (ESSs) when a mixed ESS exists. We find the necessary form of two-qubit initial quantum states when a switch-over to a quantum version of the game also changes the evolutionary stability of a mixed symmetric Nash equilibrium.
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"abstract": "In bi-matrix games the Bishop-Cannings theorem of the classical evolutionary\ngame theory does not permit pure evolutionarily stable strategies (ESSs) when a\nmixed ESS exists. We find the necessary form of two-qubit initial quantum\nstates when a switch-over to a quantum version of the game also changes the\nevolutionary stability of a mixed symmetric Nash equilibrium.",
"arxiv_id": "quant-ph/0106056",
"authors": [
"A. Iqbal",
"A. H. Toor"
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"journal_ref": "Communications in Theoretical Physics. Vol. 42, No. 3, pp 335-338,\n 2004",
"title": "Stability of mixed Nash equilibria in symmetric quantum games",
"url": "https://arxiv.org/abs/quant-ph/0106056"
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