Characterization of Nash equilibria for quantum games in general position, with full SU(2) strategy space and varying entanglement

被引：0
作者：
Sakagami, Yoshitaka
机构：
[1] Osaka, Japan
来源：
QUANTUM INFORMATION PROCESSING | 2024年 / 23卷 / 12期
关键词：
Quantum game; Nash equilibrium; Degree of entanglement; SU(2);
D O I：
10.1007/s11128-024-04600-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider quantum two-player games and investigate the effect of the degree of entanglement on Nash equilibria. The purpose of this paper is to characterize Nash equilibria by their payoff patterns. We derive all Nash equilibrium payoff patterns that are realized by at least one quantum game.
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页数：12
相关论文
共 9 条
[1]   Phase-transition-like behaviour of quantum games [J].
Du, JF ;
Li, H ;
Xu, XD ;
Zhou, XY ;
Han, RD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (23) :6551-6562
[2]   Experimental realization of quantum games on a quantum computer [J].
Du, JF ;
Li, H ;
Xu, XD ;
Shi, MJ ;
Wu, JH ;
Zhou, XY ;
Han, RD .
PHYSICAL REVIEW LETTERS, 2002, 88 (13) :4
[3]  
Eisert J., 1999, Phys. Rev. Lett, V83, P3077, DOI [10.1103/PhysRevLett.83.3077, DOI 10.1103/PHYSREVLETT.83.3077]
[4]  
Flitney A.P., 2005, Aspects of quantum game theory
[5]   Nash equilibria in quantum games with generalized two-parameter strategies [J].
Flitney, Adrian P. ;
Hollenberg, Lloyd C. L. .
PHYSICS LETTERS A, 2007, 363 (5-6) :381-388
[6]   Quantum strategies [J].
Meyer, DA .
PHYSICAL REVIEW LETTERS, 1999, 82 (05) :1052-1055
[7]  
Rosero A.F.H., 2004, Classification of quantum symmetric nonzero-sum 2X2 games in the Eisert scheme
[8]   m Characterizing the Nash equilibria of three-player Bayesian quantum games [J].
Solmeyer, Neal ;
Balu, Radhakrishnan .
ADVANCED PHOTON COUNTING TECHNIQUES XI, 2017, 10212
[9]   Characterizing the Nash equilibria of a three-player Bayesian quantum game [J].
Solmeyer, Neal ;
Dixon, Ricky ;
Balu, Radhakrishnan .
QUANTUM INFORMATION PROCESSING, 2017, 16 (06)
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