Pavlovian Prisoner's Dilemma in one-dimensional cellular automata: analytical results, the quasi-regular phase, spatio-temporal patterns and parameter space exploration

Preprint English OPEN
Pereira, Marcelo Alves; Martinez, Alexandre Souto;
(2009)
  • Subject: Physics - Physics and Society | Physics - Computational Physics

The Prisoner's Dilemma (PD) game is used in several fields due to the emergence of cooperation among selfish players. Here, we have considered a one-dimensional lattice, where each cell represents a player, that can cooperate or defect. This one-dimensional geometry all... View more
  • References (26)
    26 references, page 1 of 3

    D0.5 S

    [1] R. Axelrod. The evolution of cooperation. Basic Books, New York, 1984.

    [2] R. Axelrod and W. D. Hamilton. The evolution of cooperation. Science, 211:1390-1396, 1981.

    [3] C. Anteneodo, C. Tsallis, and A. S. Martinez. Risk aversion in economic transactions. Europhys. Lett., 59(5):635-641, 2002.

    [4] D. Stauffer. Introduction to statistical physics outside physics. Physica A, 336:1-5, 2004.

    [5] J. P. Bouchaud. An introduction to statistical finance. Physica A, 313:238-251, 2002.

    [6] P. E. Turner and L. Chao. Prisoners dilemma in an rna virus. Nature, 398:441-443, 1999.

    [7] M. Pincus. An evolutionary strategy. J. theor. Biol., 28:483-488, February 1970.

    [8] M. A. Nowak and R. M. May. Evolutionary games and spatial chaos. Nature, 359:826-829, 1992.

    [9] H. Fort and S. Viola. Spatial patterns and scale freedom in prisoner's dilemma cellular automata with pavlovian strategies. J. Stat. Mech.-Theory Exp., 1(P01010), 2005.

  • Metrics
Share - Bookmark