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A Quantum Relativistic Prisoner’s Dilemma Cellular Automaton

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Abstract

The effect of variable entangling on the dynamics of a spatial quantum relativistic formulation of the iterated prisoner’s dilemma game is studied in this work. The game is played in the cellular automata manner, i.e., with local and synchronous interaction. The game is assessed in fair and unfair contests.

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Notes

  1. Cellular automata are spatially extended dynamical systems that are discrete in all their constitutional components : space, time and state-variable. Uniform, local and synchronous interactions, as assumed here, are landmark features of CA [20] .

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Acknowledgments

Part of the computations of this work were performed in EOLO, an HPC machine of the International Campus of Excellence of Moncloa, funded by the UCM and Feder Funds. RAS contribution has been funded by the Spanish Grant MTM2015-63914-P. H. Situ’s contribution has been funded 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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Correspondence to Ramón Alonso-Sanz.

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Alonso-Sanz, R., Carvalho, M. & Situ, H. A Quantum Relativistic Prisoner’s Dilemma Cellular Automaton. Int J Theor Phys 55, 4310–4323 (2016). https://doi.org/10.1007/s10773-016-3056-1

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  • DOI: https://doi.org/10.1007/s10773-016-3056-1

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