Andrei A. Grib, Georgy N. Parfionov, “Quantum Nash-Equilibrium and Linear Representations of Ortholattices”, Contributions to Game Theory and Management, 2010, Volume 3,Pages <nobr>132

Quantum Nash-Equilibrium and Linear Representations of Ortholattices

Andrei A. Grib^a, Georgy N. Parfionov^b

^a Department of Theoretical Physics and Astronomy, A. I. Herzen State Pedagogical University, Russia
^b St. Petersburg State University of Economics and Finances, St. Petersburg, Russia

Abstract: A natural connection between antagonistic matrix games and ortholattices (quantum logics) is established. It is shown that the equilibrium in the corresponding quantum game defines the operator representation of the quantum logic. The conditions of the quantum equilibrium are formulated.

Keywords: quantum equilibrium, ortholattices, linear representations.

Language: English