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Spatial Prisoner´s Dilemma and Laws of Imitation in Social Psychology

Received: 30 March 2013    Accepted:     Published: 20 May 2013
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Abstract

It is designed a game based on the spatial prisoner introducing the three laws of imitation defined by Tarde. The French author described (1) the law of close contact, (2) the law of imitation of superiors by inferiors and (3) the law of insertion. The first law is defined like a Conformist rule; the second law is defined like a Maximization rule and the third law is defined like a Fashion rule or, alternating, a Snob rule. The method used to design the simulation in Java language programming is based on interactive evolutionary game rules which are constantly updated and is inspired by the paradigm of Chavalarias´ metamimetic games. These games introduce very suggestive notions of Nonlinear Dynamics such as mimetic attractor or mimetic equilibrium. It is obtained the formation of little “clusters” of cooperators supporting these laws of imitation

Published in Social Sciences (Volume 2, Issue 2)
DOI 10.11648/j.ss.2013.0202.15
Page(s) 53-57
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

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Copyright © The Author(s), 2024. Published by Science Publishing Group

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Keywords

Social Psychology, Spatial prisoner´s dilemma, Laws of imitation, Jean-Gabriel Tarde, Chavalarias

References
[1] G. Tarde, The Laws of Imitation. New York: Holt, 1903.
[2] G. Williams, "Gabriel Tarde and the imitation of deviance". Available: http://soc506-ni.blogspot.com/2009/03/tarde-and-imitation-of-deviance.html.
[3] R.L. Ackers and R.L. Burgess, "A differential associa-tion-reinforcement theory of criminal behavior", Social Problems, vol. 14, pp. 128-147, 1966.
[4] M. Nowak and R. May, "Evolutionary games and spatial chaos", Nature, 359, pp. 826-829, 1992.
[5] D. Chavalarias and P. Bourgine, "Metamimetics and the spatial prisoner´s dilemma". Available: nlin.AO70301005.
[6] R. Axelrod, The Evolution of Cooperation. New York: Basic Books, 1984.
[7] D.R. Gilbert, "The prisoner´s dilemma and the prisoners of the prisoner´s dilemma", Business Ethics Quarterly, 6, pp. 165-178, 1996.
[8] D. Gordon, "Is the prisoner´s dilemma an insoluble problem", Mind, 93, pp. 98-100, 1984.
[9] I. Haji, "Escaping or avoiding the prisoner´s dilemma", Dialogue, 30, pp. 153-162, 1991.
[10] W. Poundstone, Prisoner´s Dilemma. New York: Doubleday, 1992.
[11] P. Grim, "Undecidability in the spatialized prisoner´s di-lemma", Theory and Decision, 42, pp. 53-80, 1997.
[12] D. Chavalarias, "Metamimetic games: modeling metady-namics in social cognition", JASSS, vol. 9, http://jasss.soc.surrey.ac.uk/9/2/5.html.
[13] J.W. Weibull, Evolutionary Game Theory. Mass.: MIT Press, 1995.
[14] J. Hofbauer and K. Sigmund, Evolutionary Games and Rep-licator Dynamics. Cambridge:CUP, 1998.
[15] H. Gintis, "Classical versus evolutionary game theory", Journal of Consciousness, vol. 7, pp. 300-304, 2000.
[16] G. Mar, "Evolutionary game theory, morality, and darwinism", Journal of Consciousness Studies, vol. 7, pp. 322-326, 2000.
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    Carlos Pelta. (2013). Spatial Prisoner´s Dilemma and Laws of Imitation in Social Psychology. Social Sciences, 2(2), 53-57. https://doi.org/10.11648/j.ss.2013.0202.15

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    Carlos Pelta. Spatial Prisoner´s Dilemma and Laws of Imitation in Social Psychology. Soc. Sci. 2013, 2(2), 53-57. doi: 10.11648/j.ss.2013.0202.15

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    AMA Style

    Carlos Pelta. Spatial Prisoner´s Dilemma and Laws of Imitation in Social Psychology. Soc Sci. 2013;2(2):53-57. doi: 10.11648/j.ss.2013.0202.15

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  • @article{10.11648/j.ss.2013.0202.15,
      author = {Carlos Pelta},
      title = {Spatial Prisoner´s Dilemma and Laws of Imitation in Social Psychology},
      journal = {Social Sciences},
      volume = {2},
      number = {2},
      pages = {53-57},
      doi = {10.11648/j.ss.2013.0202.15},
      url = {https://doi.org/10.11648/j.ss.2013.0202.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ss.2013.0202.15},
      abstract = {It is designed a game based on the spatial prisoner introducing the three laws of imitation defined by Tarde. The French author described (1) the law of close contact, (2) the law of imitation of superiors by inferiors and (3) the law of insertion. The first law is defined like a Conformist rule; the second law is defined like a Maximization rule and the third law is defined like a Fashion rule or, alternating, a Snob rule. The method used to design the simulation in Java language programming is based on interactive evolutionary game rules which are constantly updated and is inspired by the paradigm of Chavalarias´ metamimetic games. These games introduce very suggestive notions of Nonlinear Dynamics such as mimetic attractor or mimetic equilibrium. It is obtained the formation of little “clusters” of cooperators supporting these laws of imitation},
     year = {2013}
    }
    

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Author Information
  • Dept. of Basic Psychology II, Complutense University, Madrid, Spain

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