Accounting & Finance

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

Classical Optical Modelling of the ‘Prisoner’s Dilemma’ Game
Image Source – Gotham Technology Group

The authors 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.

Authors

Sudip Patra, Associate Professor, Jindal School of Government and Public Policy, O.P. Jindal Global University, Sonipat, Haryana, India.

Partha Ghose, Tagore Centre for Natural Sciences and Philosophy, Rabindra Tirtha, New Town, Kolkata, West Bengal, India.

Summary

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.

Published in: Credible Asset Allocation, Optimal Transport Methods, and Related Topics, pp 245–260, part of Studies in Systems, Decision and Control book series.

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