Quantum logics, games, and equilibriums

被引：1

作者：

Grib, A. A. ^{[1
]}

Parfionov, G. N. ^{[2
]}

机构：

[1] Hertsen Russian State Pedag Univ, St Petersburg, Russia

[2] St Petersburg State Univ Econ & Finance, St Petersburg, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2011年 / 169卷 / 02期

关键词：

quantum logic; lattice; quantum game; Nash equilibrium; STRATEGIES;

D O I：

10.1007/s11232-011-0136-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish a natural relation between antagonistic matrix games and ortholattices (quantum logics).We show that an equilibrium in the corresponding quantum game determines the operator representation of a quantum logic. We formulate a condition for quantum equilibrium.

引用

页码：1589 / 1599

页数：11

共 11 条

[1] Quantum games and quantum strategies [J].

Eisert, J ;

Wilkens, M ;

Lewenstein, M .

PHYSICAL REVIEW LETTERS, 1999, 83 (15) :3077-3080

[2]

EISERT J, 1998, ARXIVQUANTPH9806088V

[3]

FRANEVA LK, 2008, P 1 INT C GAM THEOR, P130

[4] Can a game be quantum? [J].

Grib A.A. ;

Parfionov G.N. .

Journal of Mathematical Sciences, 2005, 125 (2) :173-184

[5]

GRIB AA, 2009, P 2 INT C GAM THEOR, P137

[6]

GRIB AA, 2010, P 3 INT C GAM THEOR, P132

[7] A quantum approach to static games of complete information [J].

Marinatto, L ;

Weber, T .

PHYSICS LETTERS A, 2000, 272 (5-6) :291-303

[8]

MARINATTO L, 2000, ARXIVQUANTPH0004081V

[9] Quantum strategies [J].

Meyer, DA .

PHYSICAL REVIEW LETTERS, 1999, 82 (05) :1052-1055

[10]

MEYER DA, 1998, ARXIVQUANTPH9804010V

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