dorsal/arxiv
View SchemaQuantum Games Entropy
| Authors | Esteban Guevara Hidalgo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606045 |
| URL | https://arxiv.org/abs/quant-ph/0606045 |
| DOI | 10.1016/j.physa.2007.05.001 |
| Journal | Physica A 383/2, 797-804 (2007) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There exists a strong relationship between game theories, information theories and statistical physics. The density operator and entropy are the bonds between these theories. The analysis we propose is based on the properties of entropy, the amount of information that a player can obtain about his opponent and a maximum or minimum entropy criterion. The natural trend of a physical system is to its maximum entropy state. The minimum entropy state is a characteristic of a manipulated system i.e. externally controlled or imposed. There exist tacit rules inside a system that do not need to be specified or clarified and search the system equilibrium under the collective welfare principle. The other rules are imposed over the system when one or many of its members violate this principle and maximize its individual welfare at the expense of the group.
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"abstract": "We propose the study of quantum games from the point of view of quantum\ninformation theory and statistical mechanics. Every game can be described by a\ndensity operator, the von Neumann entropy and the quantum replicator dynamics.\nThere exists a strong relationship between game theories, information theories\nand statistical physics. The density operator and entropy are the bonds between\nthese theories. The analysis we propose is based on the properties of entropy,\nthe amount of information that a player can obtain about his opponent and a\nmaximum or minimum entropy criterion. The natural trend of a physical system is\nto its maximum entropy state. The minimum entropy state is a characteristic of\na manipulated system i.e. externally controlled or imposed. There exist tacit\nrules inside a system that do not need to be specified or clarified and search\nthe system equilibrium under the collective welfare principle. The other rules\nare imposed over the system when one or many of its members violate this\nprinciple and maximize its individual welfare at the expense of the group.",
"arxiv_id": "quant-ph/0606045",
"authors": [
"Esteban Guevara Hidalgo"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physa.2007.05.001",
"journal_ref": "Physica A 383/2, 797-804 (2007)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Quantum Games Entropy",
"url": "https://arxiv.org/abs/quant-ph/0606045"
},
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