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Game-theoretic relevance of temporal quantum correlations

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.