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Spatial evolution of automata in the prisoners' dilemma

  • Kirchkamp, Oliver

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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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. 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, June.
  2. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  3. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  4. 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.
  5. Kirchkamp, Oliver, 2000. "Spatial evolution of automata in the prisoners' dilemma," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 239-262, October.
  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. Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
  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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