A quantum extension to inspection game

Xinyang Deng; Yong Deng; Qi Liu; Shuhua Chang; Zhen Wang

doi:10.1140/epjb/e2016-70052-4

A quantum extension to inspection game

Xinyang Deng
, Yong Deng
, Qi Liu
, Shuhua Chang
, Zhen Wang

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Quantum game theory is a new interdisciplinary field between game theory and system engineering research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement between players. Our results show that the quantum inspection game has various Nash equilibria depending on the initial quantum state of the game. It is also shown that quantization can respectively help each player to increase his own payoff, yet fails to bring Pareto improvement for the collective payoff in the quantum inspection game.

Original language	English
Article number	162
Journal	European Physical Journal B
Volume	89
Issue number	7
DOIs	https://doi.org/10.1140/epjb/e2016-70052-4
State	Published - 1 Jul 2016
Externally published	Yes

Keywords

Statistical and Nonlinear Physics

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10.1140/epjb/e2016-70052-4

Cite this

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title = "A quantum extension to inspection game",

abstract = "Quantum game theory is a new interdisciplinary field between game theory and system engineering research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement between players. Our results show that the quantum inspection game has various Nash equilibria depending on the initial quantum state of the game. It is also shown that quantization can respectively help each player to increase his own payoff, yet fails to bring Pareto improvement for the collective payoff in the quantum inspection game.",

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AU - Deng, Xinyang

AU - Deng, Yong

AU - Liu, Qi

AU - Chang, Shuhua

AU - Wang, Zhen

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Y1 - 2016/7/1

N2 - Quantum game theory is a new interdisciplinary field between game theory and system engineering research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement between players. Our results show that the quantum inspection game has various Nash equilibria depending on the initial quantum state of the game. It is also shown that quantization can respectively help each player to increase his own payoff, yet fails to bring Pareto improvement for the collective payoff in the quantum inspection game.

AB - Quantum game theory is a new interdisciplinary field between game theory and system engineering research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement between players. Our results show that the quantum inspection game has various Nash equilibria depending on the initial quantum state of the game. It is also shown that quantization can respectively help each player to increase his own payoff, yet fails to bring Pareto improvement for the collective payoff in the quantum inspection game.

KW - Statistical and Nonlinear Physics

UR - https://www.scopus.com/pages/publications/84982690345

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DO - 10.1140/epjb/e2016-70052-4

M3 - 文章

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VL - 89

JO - European Physical Journal B

JF - European Physical Journal B

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A quantum extension to inspection game

Abstract

Keywords

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