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Partial Imitation Rule in Iterated Prisoner Dilemma Game on a Square Lattice

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Nature Inspired Cooperative Strategies for Optimization (NICSO 2010)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 284))

Abstract

A realistic replacement of the general imitation rule in the Iterated Prisoner Dilemma (IPD) is investigated with simulation on square lattice, whereby the player, with finite memory, can only imitate those behaviors of the opponents observed in past games. In contrast to standard practice where all the possible behaviors of the opponents are accessible, the new partial imitation rule assumes that the player can at most access those behaviors of his opponent observed in the past few moves. This partial imitation of the behavior in IPD shows very different out-comes in the long time behavior of the games, such as the ranking of various strategies. In particular, the well known tit-for-tat (TFT) strategy loses its importance.

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References

  1. von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behaviour. Princeton University Press, Princeton (1944)

    Google Scholar 

  2. Szabo, G., Fath, G.: Evolutionary games on graphs. Physics Reports 446(4-6), 97–216 (2007)

    Article  MathSciNet  Google Scholar 

  3. Smith, J.M., Price, G.M.: The logic of animal conflict. Nature 246, 15–18 (1973)

    Article  Google Scholar 

  4. Smith, J.M.: Evolution and the Theory of Games. Cambridge University Press, Cambridge (1982)

    MATH  Google Scholar 

  5. Ohtsuki, H., Hauert, C., Lieberman, E., Nowak, M.A.: A simple rule for the evolution of cooperation on graphs and social networks. Nature 441, 502–505 (2006)

    Article  Google Scholar 

  6. Nowak, M.A.: Five Rules for the Evolution of Cooperation. Science 314(5805), 1560–1563 (December 8, 2006)

    Article  Google Scholar 

  7. Axelrod, R.: The Evolution of Cooperation. Basic Books, New York (1984)

    Google Scholar 

  8. Nowak, M.A., May, R.M.: The spatial dilemmas of evolution. Int. J. of Bifurcation and Chaos 3(1), 35–78 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  9. Szabo, G., Vukov, J., Szolnoki, A.: Phase diagrams for an evolutionary prisoner’s dilemma game on two-dimensional lattices. Phys. Rev. E 72(4), 047107 (2005)

    Article  Google Scholar 

  10. Helbing, D., Lozano, S.: Routes to cooperation and herding effects in the prisoner’s dilemma game (May 2009)

    Google Scholar 

  11. Ariosa, D., Fort, H.: Extended estimator approach for 2x2 games and its mapping to the Ising Hamiltonian. Phys. Rev. E 71, 016132 (2005)

    Article  MathSciNet  Google Scholar 

  12. Bukhari, S., Adnan, H.A.S.: Using genetic algorithms to develop strategies for the prisoners dilemma. Asian Journal of Information Technology 8(5), 866–871 (2006)

    Google Scholar 

  13. Baek, S.K., Kim, B.J.: Intelligent tit-for-tat in the iterated prisoner’s dilemma game. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 78(1), 011125 (2008)

    MathSciNet  Google Scholar 

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Wu, D., Antony, M., Szeto, K.Y. (2010). Partial Imitation Rule in Iterated Prisoner Dilemma Game on a Square Lattice. In: González, J.R., Pelta, D.A., Cruz, C., Terrazas, G., Krasnogor, N. (eds) Nature Inspired Cooperative Strategies for Optimization (NICSO 2010). Studies in Computational Intelligence, vol 284. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12538-6_12

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  • DOI: https://doi.org/10.1007/978-3-642-12538-6_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12537-9

  • Online ISBN: 978-3-642-12538-6

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