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Cooperation in stochastic games: a prisoner’s dilemma experiment

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  • Andrew Kloosterman

    (University of Virginia)

Abstract

This experiment investigates a stochastic version of the infinitely repeated prisoner’s dilemma. The stochastic element introduces the importance of beliefs about the future for supporting cooperation as well as cooperation and defection on the equilibrium path. There is more cooperation in treatments where beliefs predict cooperation after subjects gain sufficient experience. There is some evidence for cooperation and defection as predicted by equilibrium, but there is stronger evidence for behavior conditioning on past actions that is not consistent with equilibrium play. In particular, subjects continue cooperating even when it is no longer possible in equilibrium for the realized game.

Suggested Citation

  • Andrew Kloosterman, 2020. "Cooperation in stochastic games: a prisoner’s dilemma experiment," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 447-467, June.
  • Handle: RePEc:kap:expeco:v:23:y:2020:i:2:d:10.1007_s10683-019-09619-w
    DOI: 10.1007/s10683-019-09619-w
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    References listed on IDEAS

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    1. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    2. Katerina Sherstyuk & Nori Tarui & Majah-Leah V. Ravago & Tatsuyoshi Saijo, 2016. "Intergenerational Games with Dynamic Externalities and Climate Change Experiments," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 3(2), pages 247-281.
    3. John Haltiwanger & Joseph E. Harrington Jr., 1991. "The Impact of Cyclical Demand Movements on Collusive Behavior," RAND Journal of Economics, The RAND Corporation, vol. 22(1), pages 89-106, Spring.
    4. Kyle Bagwell & Robert Staiger, 1997. "Collusion Over the Business Cycle," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 82-106, Spring.
    5. Matthias Blonski & Peter Ockenfels & Giancarlo Spagnolo, 2011. "Equilibrium Selection in the Repeated Prisoner's Dilemma: Axiomatic Approach and Experimental Evidence," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 164-192, August.
    6. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    7. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    8. Rotemberg, Julio J & Saloner, Garth, 1986. "A Supergame-Theoretic Model of Price Wars during Booms," American Economic Review, American Economic Association, vol. 76(3), pages 390-407, June.
    9. Michihiro Kandori, 1991. "Correlated Demand Shocks and Price Wars During Booms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 171-180.
    10. Holcomb, James H. & Nelson, Paul S., 1997. "The role of monitoring in duopoly market outcomes," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 26(1), pages 79-93.
    11. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    12. Christian Rojas, 2012. "The role of demand information and monitoring in tacit collusion," RAND Journal of Economics, RAND Corporation, vol. 43(1), pages 78-109, March.
    13. Drew Fudenberg & David G. Rand & Anna Dreber, 2012. "Slow to Anger and Fast to Forgive: Cooperation in an Uncertain World," American Economic Review, American Economic Association, vol. 102(2), pages 720-749, April.
    14. Bradley J. Ruffle, 2013. "When Do Large Buyers Pay Less? Experimental Evidence," Journal of Industrial Economics, Wiley Blackwell, vol. 61(1), pages 108-137, March.
    15. Andrew Kloosterman, 2019. "An Experimental Study of Public Information in the Asymmetric Partnership Game," Southern Economic Journal, John Wiley & Sons, vol. 85(3), pages 663-690, January.
    16. Yves Breitmoser, 2015. "Cooperation, but No Reciprocity: Individual Strategies in the Repeated Prisoner's Dilemma," American Economic Review, American Economic Association, vol. 105(9), pages 2882-2910, September.
    17. Cabral, Luis & Ozbay, Erkut Y. & Schotter, Andrew, 2014. "Intrinsic and instrumental reciprocity: An experimental study," Games and Economic Behavior, Elsevier, vol. 87(C), pages 100-121.
    18. Aoyagi, Masaki & Fréchette, Guillaume, 2009. "Collusion as public monitoring becomes noisy: Experimental evidence," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1135-1165, May.
    19. Engle-Warnick, J. & Slonim, Robert L., 2006. "Learning to trust in indefinitely repeated games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 95-114, January.
    20. repec:ebl:ecbull:v:3:y:2002:i:6:p:1-11 is not listed on IDEAS
    21. Gary Charness & Garance Genicot, 2009. "Informal Risk Sharing in an Infinite‐Horizon Experiment," Economic Journal, Royal Economic Society, vol. 119(537), pages 796-825, April.
    22. Robert Feinberg & Christopher Snyder, 2002. "Collusion with secret price cuts: an experimental investigation," Economics Bulletin, AccessEcon, vol. 3(6), pages 1-11.
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    More about this item

    Keywords

    Stochastic games; Experimental economics; Prisoner’s dilemma; Cooperation;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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