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In Defense of Defect

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  • Volij, Oscar

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 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.

Suggested Citation

  • Volij, Oscar, 2002. "In Defense of Defect," Staff General Research Papers Archive 10125, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:10125
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    References listed on IDEAS

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    1. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
    2. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
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    7. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    8. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-279, May.
    9. 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.
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    Cited by:

    1. Jones, Matthew T., 2014. "Strategic complexity and cooperation: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 352-366.
    2. van Veelen, Matthijs & García, Julián, 2019. "In and out of equilibrium II: Evolution in repeated games with discounting and complexity costs," Games and Economic Behavior, Elsevier, vol. 115(C), pages 113-130.
    3. Samuelson, Larry & Swinkels, Jeroen M., 2003. "Evolutionary stability and lexicographic preferences," Games and Economic Behavior, Elsevier, vol. 44(2), pages 332-342, August.
    4. Matthijs van Veelen & Benjamin Allen & Moshe Hoffman & Burton Simon & Carl Veller, 2016. "Inclusive Fitness," Tinbergen Institute Discussion Papers 16-055/I, Tinbergen Institute.
    5. Pedro Dal Bo & Guillaume R. Frochette, 2011. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," American Economic Review, American Economic Association, vol. 101(1), pages 411-429, February.
    6. García, Julián & van Veelen, Matthijs, 2016. "In and out of equilibrium I: Evolution of strategies in repeated games with discounting," Journal of Economic Theory, Elsevier, vol. 161(C), pages 161-189.
    7. Pedro Dal BÛ & Enrique R. Pujals, 2013. "The Evolutionary Robustness of Forgiveness and Cooperation," Working Papers 2013-5, Brown University, Department of Economics.
    8. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Vega-Redondo, Fernando, 2014. "Leave and let leave: A sufficient condition to explain the evolutionary emergence of cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 91-113.
    9. Samuelson, Larry & Swinkels, Jeroen M., 2003. "Evolutionary stability and lexicographic preferences," Games and Economic Behavior, Elsevier, vol. 44(2), pages 332-342, August.
    10. Christos Ioannou, 2014. "Coevolution of finite automata with errors," Journal of Evolutionary Economics, Springer, vol. 24(3), pages 541-571, July.
    11. Heller, Yuval, 2013. "Language, Meaning, and Games: Comment," MPRA Paper 49375, University Library of Munich, Germany.
    12. Andreozzi, Luciano, 2013. "Evolutionary stability in repeated extensive games played by finite automata," Games and Economic Behavior, Elsevier, vol. 79(C), pages 67-74.
    13. Maenner, Eliot, 2008. "Adaptation and complexity in repeated games," Games and Economic Behavior, Elsevier, vol. 63(1), pages 166-187, May.

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