Abstract
Nonlocality, one of the most remarkable aspects of quantum mechanics, is closely related to Bayesian game theory. Quantum mechanics can offer advantages to some Bayesian games, if the payoff functions are related to Bell inequalities in some way, most of these Bayesian games that have been discussed are common interest games. Recently, the first conflicting interest Bayesian game is proposed in Phys. Rev. Lett. 114, 020401 (2015). In the present paper, we present three new conflicting interest Bayesian games where quantum mechanics offers advantages. The first game is linked with Cereceda inequalities, the second game is linked with a generalized Bell inequality with three possible measurement outcomes, and the third game is linked with a generalized Bell inequality with three possible measurement settings.
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Acknowledgments
We are very grateful to the reviewers and the editors for their invaluable comments and detailed suggestions that helped to improve the quality of the present paper. This work is supported by the National Natural Science Foundation of China (Grant Nos. 61502179, 61472452) and the Natural Science Foundation of Guangdong Province of China (Grant No. 2014A030310265).
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Situ, H. Two-player conflicting interest Bayesian games and Bell nonlocality. Quantum Inf Process 15, 137–145 (2016). https://doi.org/10.1007/s11128-015-1171-1
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DOI: https://doi.org/10.1007/s11128-015-1171-1