dorsal/arxiv
View SchemaQuantum and classical correlations between players in game theory
| Authors | Junichi Shimamura, Sahin Kaya Ozdemir, Fumiaki Morikoshi, Nobuyuki Imoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311104 |
| URL | https://arxiv.org/abs/quant-ph/0311104 |
| Journal | Int.. J. Quantum Information, vol.2, 79-89 (2004) |
Abstract
Effects of quantum and classical correlations on game theory are studied to clarify the new aspects brought into game theory by the quantum mechanical toolbox. In this study, we compare quantum correlation represented by a maximally entangled state and classical correlation that is generated through phase damping processes on the maximally entangled state. Thus, this also sheds light on the behavior of games under the influence of noisy sources. It is observed that the quantum correlation can always resolve the dilemmas in non-zero sum games and attain the maximum sum of both players' payoffs, while the classical correlation cannot necessarily resolve the dilemmas.
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"abstract": "Effects of quantum and classical correlations on game theory are studied to\nclarify the new aspects brought into game theory by the quantum mechanical\ntoolbox. In this study, we compare quantum correlation represented by a\nmaximally entangled state and classical correlation that is generated through\nphase damping processes on the maximally entangled state. Thus, this also sheds\nlight on the behavior of games under the influence of noisy sources. It is\nobserved that the quantum correlation can always resolve the dilemmas in\nnon-zero sum games and attain the maximum sum of both players\u0027 payoffs, while\nthe classical correlation cannot necessarily resolve the dilemmas.",
"arxiv_id": "quant-ph/0311104",
"authors": [
"Junichi Shimamura",
"Sahin Kaya Ozdemir",
"Fumiaki Morikoshi",
"Nobuyuki Imoto"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int.. J. Quantum Information, vol.2, 79-89 (2004)",
"title": "Quantum and classical correlations between players in game theory",
"url": "https://arxiv.org/abs/quant-ph/0311104"
},
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