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Spatial evolution of automata in the prisoners' dilemma

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  • Kirchkamp, Oliver

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

Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

Volume (Year): 43 (2000)
Issue (Month): 2 (October)
Pages: 239-262

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Handle: RePEc:eee:jeborg:v:43:y:2000:i:2:p:239-262

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  1. 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.
  2. 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.
  3. Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
  4. Kirchkamp, Oliver, 1995. "Spatial Evolution of Automata in the Prisoners' Dilemma," Discussion Paper Serie B 330, University of Bonn, Germany.
  5. 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.
  6. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612r, Wisconsin Madison - Social Systems.
  7. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
  8. M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
  9. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
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Citations

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Cited by:
  1. Kirchkamp, Oliver, 2000. "Spatial evolution of automata in the prisoners' dilemma," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 239-262, October.
  2. Kirchkamp, Oliver, 1996. "Simultaneous Evolution of Learning Rules and Strategies," Sonderforschungsbereich 504 Publications 98-46, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  3. Robert Hoffmann, 2001. "Social Cognition in the Evolutionary Chicken Game," Occasional Papers 1, Nottingham University Business School, revised 10 Apr 2001.
  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. 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.
  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. Oliver Kirchkamp, 1995. "Asynchronous Evolution of Pairs - How spatial evolution leads to inequality," Game Theory and Information 9510004, EconWPA.
  8. repec:dgr:uvatin:2006034 is not listed on IDEAS
  9. Ludo Waltman & Nees Eck & Rommert Dekker & Uzay Kaymak, 2013. "An Evolutionary Model of Price Competition Among Spatially Distributed Firms," Computational Economics, Society for Computational Economics, vol. 42(4), pages 373-391, December.
  10. Tomas Klos, . "Decentralized Interaction and Co-adaptation in the Repeated Prisoner's Dilemma," Computing in Economics and Finance 1997 88, Society for Computational Economics.
  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. 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.
  13. 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.
  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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