Mixed Nash equilibria in Eisert-Lewenstein-Wilkens (ELW) games

被引：2
|
作者：
Bolonek-Lason, Katarzyna [1 ]
Kosinski, Piotr [2 ]
机构：
[1] Univ Lodz, Fac Econ & Sociol, Dept Stat Methods, 41-43 Rewolucji 1950 St, PL-90214 Lodz, Poland
[2] Univ Lodz, Fac Phys & Appl Informat, Dept Comp Sci, 149-153 Pomorska St, PL-90236 Lodz, Poland
来源：
XXIV INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS-24) | 2017年 / 804卷
关键词：
QUANTUM GAMES; STATIC GAMES; DILEMMA; STRATEGIES;
D O I：
10.1088/1742-6596/804/1/012007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The classification of all mixed Nash equilibria for the original ELW game is presented. It is based on the quaternionic form of the game proposed by Landsburg (Proc. Am. Math. Soc. 139 (2011), 4423; Rochester Working Paper No 524 (2006); Wiley Encyclopedia of Operations Research and Management Science (Wiley and Sons, New York, (2011)). This approach allows to reduce the problem of finding the Nash equilibria to relatively simple analysis of the extrema of certain quadratic forms.
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页数：9
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