dorsal/arxiv
View SchemaQuantum Game with Restricted Matrix Strategies
| Authors | Bo Chen, Ying-Jun Ma, Gui Lu Long |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301062 |
| URL | https://arxiv.org/abs/quant-ph/0301062 |
| DOI | 10.1088/0253-6102/40/6/655 |
| Journal | Commun, Theor. Phys. 40 (2003) 655-658 |
Abstract
We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time, we find that when Nash equilibrium exists the pay off function is usually different from that in the classical counterpart except in some special cases. This presents an explicit example where quantum game and classical game may differ. When designing a quantum game with limited strategies, the allowed strategy should be carefully chosen according to the type of initial state.
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"abstract": "We study a quantum game played by two players with restricted multiple\nstrategies. It is found that in this restricted quantum game Nash equilibrium\ndoes not always exist when the initial state is entangled. At the same time, we\nfind that when Nash equilibrium exists the pay off function is usually\ndifferent from that in the classical counterpart except in some special cases.\nThis presents an explicit example where quantum game and classical game may\ndiffer. When designing a quantum game with limited strategies, the allowed\nstrategy should be carefully chosen according to the type of initial state.",
"arxiv_id": "quant-ph/0301062",
"authors": [
"Bo Chen",
"Ying-Jun Ma",
"Gui Lu Long"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0253-6102/40/6/655",
"journal_ref": "Commun, Theor. Phys. 40 (2003) 655-658",
"title": "Quantum Game with Restricted Matrix Strategies",
"url": "https://arxiv.org/abs/quant-ph/0301062"
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