dorsal/arxiv
View SchemaThe Application of Asymmetric Entangled States in Quantum Game
| Authors | Ye Li, Gan Qin, Jiangfeng Du |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511152 |
| URL | https://arxiv.org/abs/quant-ph/0511152 |
| DOI | 10.1016/j.physleta.2006.03.011 |
Abstract
In the present letter, we propose a more general entangling operator to the quantization of Cournot economic model, in which players can access to a continuous set of strategies. By analyzing the relation between the von Neumann entropy of the entangled state and the total profit of two players precisely, we find that the total profit at the Nash equilibrium always achieves its maximal value as long as the entropy tends to infinity. Moreover, since the asymmetry is introduced in the entangled state, the quantum model shows some kind of "encouraging" and "suppressing" effect in profit functions of different players.
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"abstract": "In the present letter, we propose a more general entangling operator to the\nquantization of Cournot economic model, in which players can access to a\ncontinuous set of strategies. By analyzing the relation between the von Neumann\nentropy of the entangled state and the total profit of two players precisely,\nwe find that the total profit at the Nash equilibrium always achieves its\nmaximal value as long as the entropy tends to infinity. Moreover, since the\nasymmetry is introduced in the entangled state, the quantum model shows some\nkind of \"encouraging\" and \"suppressing\" effect in profit functions of different\nplayers.",
"arxiv_id": "quant-ph/0511152",
"authors": [
"Ye Li",
"Gan Qin",
"Jiangfeng Du"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2006.03.011",
"title": "The Application of Asymmetric Entangled States in Quantum Game",
"url": "https://arxiv.org/abs/quant-ph/0511152"
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