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In Defense of DEFECT or Cooperation does not Justify the Solution Concept

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Author Info
Oscar Volij (Department of Economics, Brown University, and Department of Economics, Hebrew University of Jerusalem.)
Abstract

The one-state machine that always defects is the only evolutionarily stable strategy in the machine game that is derived from the prisoners' dilemma, when preferences are lexicographic in the complexity. This machine is the only stochastically stable strategy of the machine game when players are restricted to choosing machines with a uniformly bounded complexity.

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File URL: http://volij.co.il/publications/papers/ess.pdf
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Publisher Info
Paper provided by Oscar Volij in its series Economic theory and game theory with number 007.

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Date of creation: 30 Dec 1998
Date of revision: 26 Aug 1999
Publication status: Published in Games and Economic Behavior, 39, 309--321 (2002).
Handle: RePEc:nid:ovolij:007

Contact details of provider:
Postal: Oscar Volij, Department of Economics, Ben-Gurion University, Beer-Sheva 84105, Israel
Web page: http://volij.co.il/

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Related research
Keywords: Cooperation; prisoners' dilemma; automata; evolution.;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

References listed on IDEAS
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  1. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-56, July. [Downloadable!] (restricted)
    Other versions:
  2. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August. [Downloadable!] (restricted)
  3. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-81, November. [Downloadable!] (restricted)
  4. Cooper, David J., 1996. "Supergames Played by Finite Automata with Finite Costs of Complexity in an Evolutionary Setting," Journal of Economic Theory, Elsevier, vol. 68(1), pages 266-275, January. [Downloadable!] (restricted)
  5. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  6. Volij, Oscar & Ben-Shoham, Asaf & Serrano, Roberto, 2003. "The Evolution of Exchange," Staff General Research Papers 10247, Iowa State University, Department of Economics.
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  7. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-79, May. [Downloadable!] (restricted)
  8. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  9. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June. [Downloadable!] (restricted)
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