This article is cited in 2 papers

Quantum logics, games, and equilibriums

A. A. Grib^a, G. N. Parfionov<sup>b

a</sup> Hertsen Russian State Pedagogical University, St. Petersburg, Russia
^b St. Petersburg State University of Economics and Finance, St. Petersburg, Russia

Abstract: 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.

Keywords: quantum logic, lattice, quantum game, Nash equilibrium.

Received: 19.11.2011

DOI: 10.4213/tmf6727

 English version: Theoretical and Mathematical Physics, 2011, 169:2, 1589–1599

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