dorsal/arxiv
View SchemaEvolutionarily Stable Strategies in Quantum Games
| Authors | A. Iqbal, A. H. Toor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007100 |
| URL | https://arxiv.org/abs/quant-ph/0007100 |
| DOI | 10.1016/S0375-9601(01)00082-2 |
| Journal | Physics Letters, A 280/5-6 (2001), pp 249-256 |
Abstract
Evolutionarily Stable Strategy (ESS) in classical game theory is a refinement of Nash equilibrium concept. We investigate the consequences when a small group of mutants using quantum strategies try to invade a classical ESS in a population engaged in symmetric bimatrix game of Prisoner's Dilemma. Secondly we show that in an asymmetric quantum game between two players an ESS pair can be made to appear or disappear by resorting to entangled or unentangled initial states used to play the game even when the strategy pair remains a Nash equilibrium in both forms of the game.
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"abstract": "Evolutionarily Stable Strategy (ESS) in classical game theory is a refinement\nof Nash equilibrium concept. We investigate the consequences when a small group\nof mutants using quantum strategies try to invade a classical ESS in a\npopulation engaged in symmetric bimatrix game of Prisoner\u0027s Dilemma. Secondly\nwe show that in an asymmetric quantum game between two players an ESS pair can\nbe made to appear or disappear by resorting to entangled or unentangled initial\nstates used to play the game even when the strategy pair remains a Nash\nequilibrium in both forms of the game.",
"arxiv_id": "quant-ph/0007100",
"authors": [
"A. Iqbal",
"A. H. Toor"
],
"categories": [
"quant-ph",
"nlin.AO",
"physics.bio-ph"
],
"doi": "10.1016/S0375-9601(01)00082-2",
"journal_ref": "Physics Letters, A 280/5-6 (2001), pp 249-256",
"title": "Evolutionarily Stable Strategies in Quantum Games",
"url": "https://arxiv.org/abs/quant-ph/0007100"
},
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