Spatial Evolution of Automata in the Prisoners' Dilemma
This paper applies the idea of evolution to a spatial model. We assume that prisoners' dilemmas or coordination games are played repeatedly within neighborhoods where players do not optimize but instead copy successful strategies. 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 cooperation persists even in a stochastic environment, that players do not always coordinate on risk dominant equilibria in 2 x 2 coordination games and that success among surviving strategies may differ. We also present two analytical models that explain some of these phenomena.
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- Kirchkamp, Oliver, 2000.
"Spatial evolution of automata in the prisoners' dilemma,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 43(2), pages 239-262, October.
- Oliver Kirchkamp, 1994. "Spatial Evolution of Automata in the Prisoners' Dilemma," Game Theory and Information 9403003, EconWPA, revised 18 May 1994.
- Kirchkamp, Oliver, 1995. "Spatial Evolution of Automata in the Prisoners' Dilemma," Discussion Paper Serie B 330, University of Bonn, Germany.
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9612r, Wisconsin Madison - Social Systems.
- 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.
- 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.
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