Quantum strategy in moving frames

TL;DR

This paper explores how quantum strategies in the Prisoner's Dilemma are affected by relativistic frames, revealing that relativistic effects can enhance or diminish quantum features depending on initial spin directions.

Contribution

It introduces four thresholds of b3 for determining Nash Equilibria in relativistic quantum games, highlighting the impact of initial spin orientation on quantum feature modulation.

Findings

Quantum features are enhanced or diminished depending on spin orientation.

Classical strategies can remain dominant even in highly entangled states.

Relativistic effects significantly influence quantum game outcomes.

Abstract

We investigate quantum strategy in moving frames by considering Prisoner's Dilemma and propose four thresholds of $\gamma$ for two players to determine their \textit{Nash Equilibria}. Specially, an interesting phenomenon appears in relativistic situation that the quantum feature of the game would be enhanced and diminished for different players whose particle's initial spin direction are respectively parallel and antiparallel to his/her movement direction, that is, for the former the quantum feature of the game is enhanced while for the latter the quantum feature would be diminished. Thus a classical latter could still maintain his/her strictly dominant strategy (classical strategy) even if the game itself is highly entangled.