# Examining the effect of quantum strategies on symmetric conflicting interest games

## TL;DR

This paper constructs a symmetric two-player game illustrating Bell inequality constraints and demonstrates that quantum strategies can outperform classical ones by eliminating unfair equilibria and favoring fair outcomes.

## Contribution

It introduces a symmetric conflicting interest game with quantum strategies that outperform classical strategies and only allow fair equilibria, highlighting quantum advantages in game theory.

## Key findings

- Quantum strategies outperform classical strategies.
- Quantum game has only fair equilibria.
- Classical game admits unfair equilibria.

## Abstract

The explicit construction is presented of two-player game satisfying: (i) symmetry with respect to the permutation of the players; (ii) the existence of upper bound on total payoff following from Bell inequality; (iii) the existence of unfair equilibrium with total payoff saturating the above bound. The quantum counterpart of the game is considered which possesses only fair equilibria and strategies outperforming the classical ones.