A Quantum Battle of the Sexes in Noninertial Frame

Guofu Weng, Yang Yu

National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing, China.

DOI: 10.4236/jmp.2014.59094                

Abstract

We investigate the influence of the Unruh effect on the quantum Battle of the Sexes (BOF). We show that the acceleration of a noninertial frame greatly affects the payoffs of the players. In the case of Battle of the Sexes, the Nash Equilibra in the inertial frame may be equilibrium but in other games this conclusion may not be true anymore. Furthermore, we also show that the new Nash Equilibria of the game played in the noninertial frame and the probability distributions of the players in the new Nash Equilibria vary with the acceleration of moving player and the degree of entanglement in the initial state shared by the players.

Keywords

Quantum Game, Battle of the Sexes, Noninertial Frame

Conflicts of Interest

The authors declare no conflicts of interest.

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