Quantum Stackelberg duopoly in noninertial frame

TL;DR

This paper investigates how the Unruh effect impacts quantum Stackelberg duopoly, revealing that acceleration influences payoffs, equilibrium validity, and the advantage of entanglement in noninertial frames.

Contribution

It introduces analysis of quantum duopoly behavior under noninertial conditions, highlighting the effects of acceleration on strategic advantages and equilibrium stability.

Findings

Acceleration affects firms' payoffs significantly.

Subgame perfect Nash equilibrium is valid only within certain acceleration ranges.

Initial entanglement benefits diminish with increasing acceleration.

Abstract

We study the influence of Unruh effect on quantum Stackelberg duopoly. We show that the acceleration of noninertial frame strongly effects the payoffs of the firms. The validation of subgame perfect Nash equilibrium is limited to a particular range of acceleration of the noninertial frame. The benefit of initial state entanglement in the quantum form of the duopoly is adversely affected by the acceleration. The duopoly can become as a follower advantage only in a small region of the acceleration.