A quantum extension to inspection game

被引：0
作者：
Xinyang Deng
Yong Deng
Qi Liu
Shuhua Chang
Zhen Wang
机构：
[1] School of Computer and Information Science,Department of Biomedical Informatics
[2] Southwest University,undefined
[3] Center for Quantitative Sciences,undefined
[4] Vanderbilt University Medical Center,undefined
[5] Institute of Integrated Automation,undefined
[6] School of Electronic and Information Engineering,undefined
[7] Xi’an Jiaotong University,undefined
[8] Big Data Decision Institute,undefined
[9] Jinan University,undefined
[10] Vanderbilt University Medical Center,undefined
[11] Research Center for Mathematics and Economics,undefined
[12] Tianjin University of Finance and Economics,undefined
[13] Interdisciplinary Graduate School of Engineering Sciences,undefined
[14] Kyushu University,undefined
来源：
The European Physical Journal B | 2016年 / 89卷
关键词：
Statistical and Nonlinear Physics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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[1]  
Nash J.F.(1950)undefined Proc. Natl. Acad. Sci. 36 48-undefined
[2]  
Bauch C.T.(2004)undefined Proc. Natl. Acad. Sci. USA 101 13391-undefined
[3]  
Earn D.J.(2009)undefined N. J. Phys. 11 083031-undefined
[4]  
Poncela J.(2015)undefined Eur. Phys. J. B 88 124-undefined
[5]  
Gómez-Gardeñes J.(2014)undefined Phys. Rep. 544 1-undefined
[6]  
Traulsen A.(2009)undefined Phys. Rev. E 80 056109-undefined
[7]  
Moreno Y.(2012)undefined Phys. Rev. E 86 011134-undefined
[8]  
Wang Z.(2014)undefined Sci. Rep. 4 6937-undefined
[9]  
Wang L.(2015)undefined Phys. Lett. A 379 767-undefined
[10]  
Szolnoki A.(2015)undefined PloS One 10 e0129542-undefined
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