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Cooperation through Coordination in Two Stages

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  • Todd R. Kaplan, Bradley J. Ruffle, Ze'ev Shtudiner

    () (Wilfrid Laurier University)

Abstract

Efficient cooperation often requires coordination, such that exactly one of two players takes an available action. If the decisions whether to pursue the action are made simultaneously, then neither or both may acquiesce leading to an inefficient outcome. However, inefficiency may be reduced if players move sequentially. We test this experimentally by introducing repeated two-stage versions of such a game where the action is individually profitable. In one version, players may wait in the first stage to see what their partner did and then coordinate in the second stage. In another version, sequential decision-making is imposed by assigning one player to move in stage one and the other in stage two. Although there are fewer cooperative decisions in the two-stage treatments, we show that overall subjects coordinate better on efficient cooperation and on avoiding both acquiescing. Yet, only some pairs actually achieve higher profits, while the least cooperative pairs do worse in the two-stage games than their single-stage counterparts. For these, rather than facilitating coordination, the additional stage invites attempts to disguise uncooperative play, which are met with punishment.

Suggested Citation

  • Todd R. Kaplan, Bradley J. Ruffle, Ze'ev Shtudiner, 2017. "Cooperation through Coordination in Two Stages," LCERPA Working Papers 0105, Laurier Centre for Economic Research and Policy Analysis, revised 30 Sep 2017.
  • Handle: RePEc:wlu:lcerpa:0105
    Note: LCERPA Working Paper no. 2017-8
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    1. Potters, Jan & Sefton, Martin & Vesterlund, Lise, 2005. "After you--endogenous sequencing in voluntary contribution games," Journal of Public Economics, Elsevier, vol. 89(8), pages 1399-1419, August.
    2. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    3. Tjaša Bjedov & Thierry Madiès & Marie Claire Villeval, 2016. "Communication And Coordination In A Two-Stage Game," Economic Inquiry, Western Economic Association International, vol. 54(3), pages 1519-1540, July.
    4. Giovanna Devetag & Andreas Ortmann, 2007. "When and why? A critical survey on coordination failure in the laboratory," Experimental Economics, Springer;Economic Science Association, vol. 10(3), pages 331-344, September.
    5. Daniele Nosenzo & Martin Sefton, 2011. "Endogenous Move Structure and Voluntary Provision of Public Goods: Theory and Experiment," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(5), pages 721-754, October.
    6. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
    7. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-653, October.
    8. Huck, Steffen & Muller, Wieland & Normann, Hans-Theo, 2002. "To Commit or Not to Commit: Endogenous Timing in Experimental Duopoly Markets," Games and Economic Behavior, Elsevier, vol. 38(2), pages 240-264, February.
    9. Chamley, Christophe & Gale, Douglas, 1994. "Information Revelation and Strategic Delay in a Model of Investment," Econometrica, Econometric Society, vol. 62(5), pages 1065-1085, September.
    10. Dirk Engelmann & Veronika Grimm, 2012. "Mechanisms for Efficient Voting with Private Information about Preferences," Economic Journal, Royal Economic Society, vol. 122(563), pages 1010-1041, September.
    11. Gul, Faruk & Lundholm, Russell, 1995. "Endogenous Timing and the Clustering of Agents' Decisions," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 1039-1066, October.
    12. Clark, Kenneth & Sefton, Martin, 2001. "The Sequential Prisoner's Dilemma: Evidence on Reciprocation," Economic Journal, Royal Economic Society, vol. 111(468), pages 51-68, January.
    13. Anthony M. Kwasnica & Katerina Sherstyuk, 2007. "Collusion and Equilibrium Selection in Auctions," Economic Journal, Royal Economic Society, vol. 117(516), pages 120-145, January.
    14. Dirk Helbing & Martin Schönhof & Hans-Ulrich Stark & Janusz A. Hołyst, 2005. "How Individuals Learn To Take Turns: Emergence Of Alternating Cooperation In A Congestion Game And The Prisoner'S Dilemma," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 87-116.
    15. Timothy Cason & Sau-Him Lau & Vai-Lam Mui, 2013. "Learning, teaching, and turn taking in the repeated assignment game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 335-357, October.
    16. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
    17. Gächter, Simon & Nosenzo, Daniele & Renner, Elke & Sefton, Martin, 2010. "Sequential vs. simultaneous contributions to public goods: Experimental evidence," Journal of Public Economics, Elsevier, vol. 94(7-8), pages 515-522, August.
    18. Harrison, Glenn W & Hirshleifer, Jack, 1989. "An Experimental Evaluation of Weakest Link/Best Shot Models of Public Goods," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 201-225, February.
    19. Todd R. Kaplan & Bradley J. Ruffle, 2012. "Which Way to Cooperate," Economic Journal, Royal Economic Society, vol. 122(563), pages 1042-1068, September.
    20. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    21. Anthony Ziegelmeyer & Kene Boun My & Jean-Christophe Vergnaud & Marc Willinger, 2006. "Strategic Delay and Rational Imitation in the Laboratory," Papers on Strategic Interaction 2005-35, Max Planck Institute of Economics, Strategic Interaction Group.
    22. Sibly, Hugh & Tisdell, John, 2018. "Cooperation and turn taking in finitely-repeated prisoners' dilemmas: An experimental analysis," Journal of Economic Psychology, Elsevier, vol. 64(C), pages 49-56.
    23. Dirk Engelmann & Hans-Theo Normann, 2010. "Maximum effort in the minimum-effort game," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 249-259, September.
    24. 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.
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    More about this item

    Keywords

    experimental economics; cooperation; efficiency; two-stage games; turntaking;
    All these keywords.

    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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