dorsal/arxiv
View SchemaClassical and Quantum Contents of Solvable Game Theory on Hilbert Space
| Authors | Taksu Cheon, Izumi Tsutsui |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503233 |
| URL | https://arxiv.org/abs/quant-ph/0503233 |
| DOI | 10.1016/j.physleta.2005.08.066 |
| Journal | Physics Letters A 348 (2006) 147-152 |
Abstract
A simple and general formulation of the quantum game theory is presented, accommodating all possible strategies in the Hilbert space for the first time. The theory is solvable for the two strategy quantum game, which is shown to be equivalent to a family of classical games supplemented by quantum interference. Our formulation gives a clear perspective to understand why and how quantum strategies outmaneuver classical strategies. It also reveals novel aspects of quantum games such as the stone-scissor-paper phase sub-game and the fluctuation-induced moderation.
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"abstract": "A simple and general formulation of the quantum game theory is presented,\naccommodating all possible strategies in the Hilbert space for the first time.\nThe theory is solvable for the two strategy quantum game, which is shown to be\nequivalent to a family of classical games supplemented by quantum interference.\nOur formulation gives a clear perspective to understand why and how quantum\nstrategies outmaneuver classical strategies. It also reveals novel aspects of\nquantum games such as the stone-scissor-paper phase sub-game and the\nfluctuation-induced moderation.",
"arxiv_id": "quant-ph/0503233",
"authors": [
"Taksu Cheon",
"Izumi Tsutsui"
],
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"quant-ph",
"cond-mat.other",
"math-ph",
"math.MP",
"nlin.CD",
"nlin.SI",
"physics.bio-ph"
],
"doi": "10.1016/j.physleta.2005.08.066",
"journal_ref": "Physics Letters A 348 (2006) 147-152",
"title": "Classical and Quantum Contents of Solvable Game Theory on Hilbert Space",
"url": "https://arxiv.org/abs/quant-ph/0503233"
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