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Spatial Evolution of Automata in the Prisoners' Dilemma

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  • Oliver Kirchkamp

    (University of Bonn)

Abstract

The paper applies the idea of evolution to a spatial model. We assume that the prisoners' dilemma is played only within a neighborhood and that evolutionary pressure works also only on a local level. Discriminatory behavior of players is introduced representing strategies as small automata, identical for a player but possibly in different states against different neighbors. Extensive simulations show that success among surviving strategies may differ and that in contrast to undiscriminative behavior cooperation persists even in a stochastic environment. Keywords: Evolutionary Game Theory, Networks, Prisoners' Dilemma, Overlapping Generations. JEL-Code: C63, C73, D62, D83, R12, R13.

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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 9403003.

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Length: 37 pages
Date of creation: 09 Mar 1994
Date of revision: 18 May 1994
Handle: RePEc:wpa:wuwpga:9403003

Note: 37 pages, postscript, also available as http://witch.econ3.uni-bonn.de/~oliver/spatEvol.shtml. Hardcopy requests to kirchkamp@witch.econ3.uni-bonn.de
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References

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  1. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
  2. M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
  3. Kirchkamp, Oliver, 1995. "Spatial Evolution of Automata in the Prisoners' Dilemma," Discussion Paper Serie B 330, University of Bonn, Germany.
  4. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612r, Wisconsin Madison - Social Systems.
  5. Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
  6. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  7. Stanley, E.A. & Ashlock, Daniel & Tesfatsion, Leigh, 1994. "Iterated Prisoner's Dilemma with Choice and Refusal of Partners," Staff General Research Papers 11180, Iowa State University, Department of Economics.
  8. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
  9. Eshel, Ilan & Samuelson, Larry & Shaked, Avner, 1998. "Altruists, Egoists, and Hooligans in a Local Interaction Model," American Economic Review, American Economic Association, vol. 88(1), pages 157-79, March.
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Citations

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Cited by:
  1. M.G. Zimmermann, V. M. Eguiluz, 2001. "Evolution of Cooperative Networks and the Emergence of Leadership," Computing in Economics and Finance 2001 171, Society for Computational Economics.
  2. Kirchkamp, Oliver, 1999. "Simultaneous evolution of learning rules and strategies," Journal of Economic Behavior & Organization, Elsevier, vol. 40(3), pages 295-312, November.
  3. Kirchkamp, Oliver, 2000. "Spatial evolution of automata in the prisoners' dilemma," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 239-262, October.
  4. Kirchkamp, Oliver & Nagel, Rosemarie, 2007. "Naive learning and cooperation in network experiments," Games and Economic Behavior, Elsevier, vol. 58(2), pages 269-292, February.
  5. Waltman, L. & van Eck, N.J.P. & Dekker, R. & Kaymak, U., 2011. "An evolutionary model of price competition among spatially distributed firms," Econometric Institute Research Papers EI 2011-09, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  6. Takács, Károly, 2010. "Hálózati kísérletek
    [Network experiments]
    ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(11), pages 958-979.
  7. Tomas Klos, . "Decentralized Interaction and Co-adaptation in the Repeated Prisoner's Dilemma," Computing in Economics and Finance 1997 88, Society for Computational Economics.
  8. Robert Hoffmann, 2001. "Social Cognition in the Evolutionary Chicken Game," Occasional Papers 2, Industrial Economics Division, revised 10 Apr 2001.
  9. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.
  10. Kirchkamp, Oliver, 1995. "Asynchronous Evolution of Pairs How spatial evolution leads to enequality," Discussion Paper Serie B 329, University of Bonn, Germany.
  11. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.
  12. Dorofeenko, Victor & Shorish, Jamsheed, 2005. "Partial differential equation modelling for stochastic fixed strategy distributed systems," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 335-367, January.
  13. Robert Hoffmann, 1999. "The Independent Localisations of Interaction and Learning in the Repeated Prisoner's Dilemma," Theory and Decision, Springer, vol. 47(1), pages 57-72, August.
  14. Bissey, Marie-Edith & Ortona, Guido, 2002. "A simulative frame to study the integration of defectors in a cooperative setting," POLIS Working Papers 24, Institute of Public Policy and Public Choice - POLIS.

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