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Classical Optical Modelling of the ‘Prisoner’s Dilemma’ Game

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Credible Asset Allocation, Optimal Transport Methods, and Related Topics (TES 2022)

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Abstract

Though there is a strong body of literature on ‘pure quantum games’ where quantum entanglement needs to be introduced in the modelling for Pareto Superior equilibria, unattainable in classical games, we demonstrate in the current paper a particular version of the game involving three strategies in which the physical setting of classical optics makes a superior strategy possible even without entanglement/nonseparability. Non-zero sum cooperation games with superior equilibria can also be designed using a new type of nonlocal classical nonseparability, the advantage of such designs being ease of implementation and robustness of entanglement, unlike fragile quantum entanglement due to decoherence. We demonstrate the foundational set up of classical optical modelling of game theory, which is conceptually different from quantum modelling, by using the basic Prisoners’ Dilemma game under full information.

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Correspondence to Sudip Patra .

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Patra, S., Ghose, P. (2022). Classical Optical Modelling of the ‘Prisoner’s Dilemma’ Game. In: Sriboonchitta, S., Kreinovich, V., Yamaka, W. (eds) Credible Asset Allocation, Optimal Transport Methods, and Related Topics. TES 2022. Studies in Systems, Decision and Control, vol 429. Springer, Cham. https://doi.org/10.1007/978-3-030-97273-8_17

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