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At-will relationships: How an option to walk away affects cooperation and efficiency

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  • Wilson, Alistair J.
  • Wu, Hong

Abstract

We theoretically and experimentally examine the effects from adding a simple, empirically relevant action to a repeated partnership, the option to walk away. Manipulating both the value of the outside option, and its relative distribution among the partners, we examine the behavior of human subjects in a repeated prisoners' dilemma. In particular, we examine the degree of cooperation and the form of punishments used. Our findings indicate that cooperation rates are broadly unaffected by the value of the common outside option, but that the selection of supporting punishments—in-relationship defections or walking-away—are dictated by individual rationality. In contrast to the symmetric results, when outside options for partners are asymmetric we find stark selection effects over cooperation, with the potential for very high and very low efficiency, dependent on the precise division rule.

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  • Wilson, Alistair J. & Wu, Hong, 2017. "At-will relationships: How an option to walk away affects cooperation and efficiency," Games and Economic Behavior, Elsevier, vol. 102(C), pages 487-507.
  • Handle: RePEc:eee:gamebe:v:102:y:2017:i:c:p:487-507
    DOI: 10.1016/j.geb.2017.02.007
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    1. Jianpei Li & Elmar Wolfstetter, 2010. "Partnership dissolution, complementarity, and investment incentives," Oxford Economic Papers, Oxford University Press, vol. 62(3), pages 529-552, July.
    2. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    3. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    4. Comino, Stefano & Nicolò, Antonio & Tedeschi, Piero, 2010. "Termination clauses in partnerships," European Economic Review, Elsevier, vol. 54(5), pages 718-732, July.
    5. Richard R. W. Brooks & Claudia M. Landeo & Kathryn E. Spier, 2010. "Trigger happy or gun shy? Dissolving common‐value partnerships with Texas shootouts," RAND Journal of Economics, RAND Corporation, vol. 41(4), pages 649-673, December.
    6. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    7. Esther Hauk & Rosemarie Nagel, 2001. "Choice of Partners in Multiple Two-Person Prisoner's Dilemma Games," Journal of Conflict Resolution, Peace Science Society (International), vol. 45(6), pages 770-793, December.
    8. Anna Dreber & David G. Rand & Drew Fudenberg & Martin A. Nowak, 2008. "Winners don’t punish," Nature, Nature, vol. 452(7185), pages 348-351, March.
    9. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    10. 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.
    11. Cramton, Peter & Gibbons, Robert & Klemperer, Paul, 1987. "Dissolving a Partnership Efficiently," Econometrica, Econometric Society, vol. 55(3), pages 615-632, May.
    12. Dutta Prajit K., 1995. "A Folk Theorem for Stochastic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 1-32, June.
    13. J. Keith Murnighan & Alvin E. Roth, 1983. "Expecting Continued Play in Prisoner's Dilemma Games," Journal of Conflict Resolution, Peace Science Society (International), vol. 27(2), pages 279-300, June.
    14. Gaudeul, Alexia & Crosetto, Paolo & Riener, Gerhard, 2017. "Better stuck together or free to go? Of the stability of cooperation when individuals have outside options," Journal of Economic Psychology, Elsevier, vol. 59(C), pages 99-112.
    15. Duffy, John & Ochs, Jack, 2009. "Cooperative behavior and the frequency of social interaction," Games and Economic Behavior, Elsevier, vol. 66(2), pages 785-812, July.
    16. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    17. Roy Radner & Roger Myerson & Eric Maskin, 1986. "An Example of a Repeated Partnership Game with Discounting and with Uniformly Inefficient Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 59-69.
    18. 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.
    19. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    20. Thomas R. Palfrey & Howard Rosenthal, 1994. "Repeated Play, Cooperation and Coordination: An Experimental Study," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 545-565.
    21. Preston McAfee, R., 1992. "Amicable divorce: Dissolving a partnership with simple mechanisms," Journal of Economic Theory, Elsevier, vol. 56(2), pages 266-293, April.
    22. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    23. Pedro Dal Bo & Guillaume R. Frechette, 2007. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," Working Papers 2007-7, Brown University, Department of Economics.
    24. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
    25. Porter, Robert H., 1983. "Optimal cartel trigger price strategies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 313-338, April.
    26. 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.
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    Cited by:

    1. Gaudeul, Alexia & Crosetto, Paolo & Riener, Gerhard, 2017. "Better stuck together or free to go? Of the stability of cooperation when individuals have outside options," Journal of Economic Psychology, Elsevier, vol. 59(C), pages 99-112.
    2. Paolo Crosetto & Alexia Gaudeul & Gerhard Riener, 2012. "Partnerships, Imperfect Monitoring and Outside Options: Theory and Experimental Evidence," Jena Economics Research Papers 2012-052, Friedrich-Schiller-University Jena.
    3. Chloe Tergiman & Marie Claire Villeval, 2023. "The Way People Lie in Markets: Detectable vs. Deniable Lies," Management Science, INFORMS, vol. 69(6), pages 3340-3357, June.
    4. Guido, Andrea & Robbett, Andrea & Romaniuc, Rustam, 2019. "Group formation and cooperation in social dilemmas: A survey and meta-analytic evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 159(C), pages 192-209.
    5. Dorothée Honhon & Kyle Hyndman, 2020. "Flexibility and Reputation in Repeated Prisoner’s Dilemma Games," Management Science, INFORMS, vol. 66(11), pages 4998-5014, November.
    6. Nosenzo, Daniele & Tufano, Fabio, 2017. "The effect of voluntary participation on cooperation," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 307-319.
    7. Chloe Tergiman & Marie Claire Villeval, 2019. "The Way People Lie in Markets," Working Papers 1927, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    8. Daniele Nosenzo & Fabio Tufano, 2015. "Entry or Exit? The Effect of Voluntary Participation on Cooperation," Discussion Papers 2015-20, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    9. Maximilian Andres, 2023. "Communication in the Infinitely Repeated Prisoner's Dilemma: Theory and Experiments," Papers 2304.12297, arXiv.org.
    10. Serdarevic, Nina & Strømland, Eirik & Tjøtta, Sigve, 2021. "It pays to be nice: The benefits of cooperating in markets," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    11. Jiang, Janet Hua & Puzzello, Daniela & Zhang, Cathy, 2021. "How long is forever in the laboratory? Three implementations of an infinite-horizon monetary economy," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 278-301.
    12. Guillaume R. Fréchette & Sevgi Yuksel, 2017. "Infinitely repeated games in the laboratory: four perspectives on discounting and random termination," Experimental Economics, Springer;Economic Science Association, vol. 20(2), pages 279-308, June.
    13. Zeng, Weijun & Ai, Hongfeng & Zhao, Man, 2019. "Asymmetrical expectations of future interaction and cooperation in the iterated prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 148-164.
    14. Hyndman, Kyle, 2023. "Dynamic fairness in repeated bargaining with risk," Journal of Economic Psychology, Elsevier, vol. 94(C).
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    16. Sibilla Di Guida & The Anh Han & Georg Kirchsteiger & Tom Lenaerts & Ioannis Zisis, 2021. "Repeated Interaction and Its Impact on Cooperation and Surplus Allocation—An Experimental Analysis," Games, MDPI, vol. 12(1), pages 1-19, March.

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    More about this item

    Keywords

    Outside options; Endogenous termination; Dissolution clauses; Imperfect public monitoring; Dynamic games;
    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
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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