Two-player quantum games: When player strategies are via directional choices

TL;DR

This paper introduces a quantum game framework where players' strategies are spatial directional choices in an EPR experiment, revealing quantum advantages when Bell inequality violations occur.

Contribution

It presents a novel quantum game scheme linking classical and quantum strategies through spatial directional choices and Bell inequality violations.

Findings

Quantum payoffs differ from classical when Bell-CHSH inequality is violated.

The scheme offers a direct connection between classical and quantum game strategies.

Players' directional choices can lead to quantum advantage in payoffs.

Abstract

We propose a scheme for a quantum game based on performing an EPR type experiment and in which each player's spatial directional choices are considered as their strategies. A classical mixed-strategy game is recovered by restricting the players' choices to specific spatial trajectories. We show that for players' directional choices for which the Bell-CHSH inequality is violated, the players' payoffs in the quantum game have no mapping within the classical mixed-strategy game. The scheme provides a more direct link between classical and quantum games.