Quantum Nash equilibrium in the thermodynamic limit

TL;DR

This paper investigates quantum Nash equilibria in large-scale quantum games, revealing phase transitions driven by entanglement and showing a preference for quantum strategies at maximal entanglement.

Contribution

It introduces the analysis of quantum Nash equilibria in the thermodynamic limit for specific quantum games, highlighting phase transitions and strategic preferences.

Findings

Phase transition observed as a function of entanglement

Majority of players prefer quantum strategies at maximal entanglement

Quantum Nash equilibrium behavior differs from classical expectations

Abstract

The quantum Nash equilibrium in the thermodynamic limit is studied for games like quantum Prisoner's dilemma and the quantum game of chicken. A phase transition is seen in both games as a function of the entanglement in the game. We observe that for maximal entanglement irrespective of the classical payoffs, a majority of players choose Quantum strategy over Defect in the thermodynamic limit.