Game-theoretic relevance of temporal quantum correlations

TL;DR

This paper investigates how temporal quantum correlations can be used in game theory, revealing quantum strategies that surpass classical capabilities and extending existing nonlocal game frameworks with temporal aspects.

Contribution

It introduces a novel approach to incorporate temporal quantum correlations into game-theoretic models, expanding the scope of quantum advantage in Bayesian games.

Findings

Temporal correlations enable quantum strategies beyond classical simulation.

Construction of specific biased Bayesian games using temporal measurements.

Extension of cooperative Bayesian nonlocal games with temporal correlations.

Abstract

In this work, we explore a new direction by complementing the game-theoretic applications of nonlocal correlations through appropriately formulated games using temporal quantum correlations. In the context of Bayesian games, we show the way temporal correlations can be utilized, thereby leading to quantum strategies that are impossible to simulate in a classical world. Furthermore, by educing some intriguing characteristics of projective measurements performed between two temporally separated measurements on a given system, we also construct some specific types of Biased Bayesian games. Finally, we impart a new dimension to the cooperative Bayesian Nonlocal Game introduced in [Nat. Comm. 4, 2057 (2013)] through expedient inclusion of temporal correlations in the EPR-Bohm setting.