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Convergence of aspirations and (partial) cooperation in the Prisoner's Dilemma

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  • Fernando Vega Redondo

    (Instituto Valenciano de Investigaciones Económicas)

  • Frédéric Palomino

    (Département économie et finance. Groupe EDHEC)

Abstract

This paper proposes an aspiration-based model for (anonymous) cooperation where a large population of agents are re-matched every period to playa Prisoner's Dilemma. At each point in time, agents hold a certain common aspiration level which is updated on the basis of population-average experience. On the other hand, those agents who (relative to current aspiration) feel "dissatisfied" switch actions at a rate which is increasing in the magnitude of the dissatisfaction. The induced process is shown to converge in the long run under quite general conditions. Moreover, if agents are responsive enough, the long-run social state is seen to display some extent of cooperation, a constant positive fraction of the population (always less than halt) choosing to cooperate in every period.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1996-20.pdf
File Function: Fisrt version / Primera version, 1996
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1996-20.

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Length: 30 pages
Date of creation: Jan 1996
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1996-20

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Related research

Keywords: Aspirations; cooperation; bounded rationality; learning; Prisoner's Dilemma;

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Cited by:
  1. Huw D. Dixon & Paolo Lupi, . "Learning with a Known Average: A Simulation Study of Alternative Learning Rules," Discussion Papers 97/18, Department of Economics, University of York.
  2. Marcin Dziubinski & Jaideep Roy, 2007. "Endogenous Selection of Aspiring and Rational rules in Coordination Games," CEDI Discussion Paper Series 07-14, Centre for Economic Development and Institutions(CEDI), Brunel University.
  3. Enrique Fatás & Francisca Jiménez & Antonio Morales, 2011. "Controlling for initial endowment and experience in binary choice tasks," Journal of Risk and Uncertainty, Springer, vol. 43(3), pages 227-243, December.
  4. Alexander Tieman & Harold Houba & Gerard Laan, 2000. "On the level of cooperative behavior in a local-interaction model," Journal of Economics, Springer, vol. 71(1), pages 1-30, February.
  5. Altavilla, Carlo & Luini, Luigi & Sbriglia, Patrizia, 2006. "Social learning in market games," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 632-652, December.
  6. Alexander F. Tieman & Harold Houba & Gerard van der Laan, 1998. "Cooperation in a Multi-Dimensional Local Interaction Model," Game Theory and Information 9803002, EconWPA.
  7. Dziubiński, Marcin & Roy, Jaideep, 2012. "Popularity of reinforcement-based and belief-based learning models: An evolutionary approach," Journal of Economic Dynamics and Control, Elsevier, vol. 36(3), pages 433-454.
  8. Angelo Antoci & Pier Sacco & Luca Zarri, 2004. "Coexistence of Strategies and Culturally-Specific Common Knowledge: An Evolutionary Analysis," Journal of Bioeconomics, Springer, vol. 6(2), pages 165-194, May.
  9. Robert S. Gazzale, 2009. "Learning to Play Nash from the Best," Department of Economics Working Papers 2009-03, Department of Economics, Williams College.
  10. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Gotts, Nicholas M. & Polhill, J. Gary, 2007. "Transient and asymptotic dynamics of reinforcement learning in games," Games and Economic Behavior, Elsevier, vol. 61(2), pages 259-276, November.

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