International Journal of Theoretical Physics

, Volume 55, Issue 10, pp 4310–4323 | Cite as

A Quantum Relativistic Prisoner’s Dilemma Cellular Automaton

  • Ramón Alonso-Sanz
  • Márcio Carvalho
  • Haozhen Situ


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.


Quantum games Entangling Unruh effect Cellular automata 



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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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Ramón Alonso-Sanz
    • 1
  • Márcio Carvalho
    • 1
  • Haozhen Situ
    • 2
  1. 1.Technical University of Madrid,ETSIA (Estadística, GSC). C.UniversitariaMadridSpain
  2. 2.College of Mathematics and InformaticsSouth China Agricultural UniversityGuangzhouChina

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