Quantum Two Player Game in Thermal Environment

Jerzy Dajka; Dawid Kłoda; Marcin Łobejko; Jan Sładkowski

doi:10.1371/journal.pone.0134916

Quantum Two Player Game in Thermal Environment

PLoS One. 2015 Aug 31;10(9):e0134916. doi: 10.1371/journal.pone.0134916. eCollection 2015.

Authors

Jerzy Dajka¹, Dawid Kłoda², Marcin Łobejko², Jan Sładkowski²

Affiliations

¹ Institute of Physics, University of Silesia, Katowice, Poland; Silesian Center for Education and Interdisciplinary Research, University of Silesia, Chorzów, Poland.
² Institute of Physics, University of Silesia, Katowice, Poland.

Abstract

A two-player quantum game is considered in the presence of thermal decoherence. It is shown how the thermal environment modeled in terms of rigorous Davies approach affects payoffs of the players. The conditions for either beneficial or pernicious effect of decoherence are identified. The general considerations are exemplified by the quantum version of Prisoner Dilemma.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Game Theory
Models, Theoretical*

Grants and funding

This work was supported by the Polish National Science Centre by the contract DEC-2013/09/B/ST3/01659 (JD), DEC-2011/01/B/ST6/07197 (JS) and the Forszt project co-financed by EU from the European Social Fund (DK).