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Cooperation among behaviorally heterogeneous players in social dilemma with stay or leave decisions

Author

Listed:
  • Xiaochuan Huang

    (DT Captical Management Co., LTD.)

  • Takehito Masuda

    (Research Center for Social Design Engineering, Kochi University of Technology)

  • Yoshitaka Okano

    (Kochi University of Technology)

  • Tatsuyoshi Saijo

    (Kochi University of Technology)

Abstract
Given the substantial evidence of behavioral heterogeneity in social dilemma experiments, in this study we consider how to achieve cooperation in n-player prisoner's dilemma situations where each player has one behavioral type, either selfish or conditionally cooperative. We introduce a two-stage game form called the stay-leave mechanism, where each cooperator has the chance to revise his choice when players' choices are not unanimous. For homogeneous behavioral type cases, theory predicts that the unique outcome is cooperative under the stay-leave mechanism, regardless of the benefit derived from cooperation. For heterogeneous behavioral type cases, we show that the benefits of cooperation shrink such that the unique outcome is cooperative under the stay-leave mechanism if the number of conditionally cooperative players increases. The average cooperation rate in the stay-leave mechanism experiment is 86.6% across 15 periods, which increases to 96.0% after period 5. We also provide evidence that selfish and conditionally cooperative types coexist throughout the sessions, in the proportion that the equilibrium outcome is cooperative. Our results corroborate the importance of incorporating behavioral heterogeneity into institutional design.

Suggested Citation

  • Xiaochuan Huang & Takehito Masuda & Yoshitaka Okano & Tatsuyoshi Saijo, 2014. "Cooperation among behaviorally heterogeneous players in social dilemma with stay or leave decisions," Working Papers SDES-2014-7, Kochi University of Technology, School of Economics and Management, revised Feb 2015.
    • Handle: RePEc:kch:wpaper:sdes-2014-7
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    References listed on IDEAS

    as
    1. M. Vittoria Levati & Tibor Neugebauer, 2004. "An Application of the English Clock Market Mechanism to Public Goods Games," Experimental Economics, Springer;Economic Science Association, vol. 7(2), pages 153-169, June.
    2. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    3. Charness, Gary & Frechette, Guillaume R. & Qin, Cheng-Zhong, 2007. "Endogenous transfers in the Prisoner's Dilemma game: An experimental test of cooperation and coordination," Games and Economic Behavior, Elsevier, vol. 60(2), pages 287-306, August.
    4. Renou, Ludovic & Schlag, Karl H., 2011. "Implementation in minimax regret equilibrium," Games and Economic Behavior, Elsevier, vol. 71(2), pages 527-533, March.
    5. Timothy Cason & Tatsuyoshi Saijo & Takehiko Yamato, 2002. "Voluntary Participation and Spite in Public Good Provision Experiments: An International Comparison," Experimental Economics, Springer;Economic Science Association, vol. 5(2), pages 133-153, October.
    6. Andreoni, James & Samuelson, Larry, 2006. "Building rational cooperation," Journal of Economic Theory, Elsevier, vol. 127(1), pages 117-154, March.
    7. Fischbacher, Urs & Gachter, Simon & Fehr, Ernst, 2001. "Are people conditionally cooperative? Evidence from a public goods experiment," Economics Letters, Elsevier, vol. 71(3), pages 397-404, June.
    8. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    9. Masuda, Takehito & Okano, Yoshitaka & Saijo, Tatsuyoshi, 2014. "The minimum approval mechanism implements the efficient public good allocation theoretically and experimentally," Games and Economic Behavior, Elsevier, vol. 83(C), pages 73-85.
    10. Chen, Yan & Plott, Charles R., 1996. "The Groves-Ledyard mechanism: An experimental study of institutional design," Journal of Public Economics, Elsevier, vol. 59(3), pages 335-364, March.
    11. Rachel Croson & Melanie Marks, 2000. "Step Returns in Threshold Public Goods: A Meta- and Experimental Analysis," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 239-259, March.
    12. Michael Kosfeld & Akira Okada & Arno Riedl, 2009. "Institution Formation in Public Goods Games," American Economic Review, American Economic Association, vol. 99(4), pages 1335-1355, September.
    13. Kube, Sebastian & Schaube, Sebastian & Schildberg-Hörisch, Hannah & Khachatryan, Elina, 2015. "Institution formation and cooperation with heterogeneous agents," European Economic Review, Elsevier, vol. 78(C), pages 248-268.
    14. David Masclet & Charles Noussair & Steven Tucker & Marie-Claire Villeval, 2003. "Monetary and Nonmonetary Punishment in the Voluntary Contributions Mechanism," American Economic Review, American Economic Association, vol. 93(1), pages 366-380, March.
    15. Cason, Timothy N. & Saijo, Tatsuyoshi & Yamato, Takehiko & Yokotani, Konomu, 2004. "Non-excludable public good experiments," Games and Economic Behavior, Elsevier, vol. 49(1), pages 81-102, October.
    16. 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.
    17. Kesternich, Martin & Lange, Andreas & Sturm, Bodo, 2014. "The impact of burden sharing rules on the voluntary provision of public goods," Journal of Economic Behavior & Organization, Elsevier, vol. 105(C), pages 107-123.
    18. Tumennasan, Norovsambuu, 2013. "To err is human: Implementation in quantal response equilibria," Games and Economic Behavior, Elsevier, vol. 77(1), pages 138-152.
    19. Guillaume Fréchette & John Kagel & Massimo Morelli, 2012. "Pork versus public goods: an experimental study of public good provision within a legislative bargaining framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(3), pages 779-800, April.
    20. 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.
    21. Charness, Gary & Rabin, Matthew, 2002. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt3d04q5sm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    22. Blanco, Mariana & Engelmann, Dirk & Koch, Alexander K. & Normann, Hans-Theo, 2014. "Preferences and beliefs in a sequential social dilemma: a within-subjects analysis," Games and Economic Behavior, Elsevier, vol. 87(C), pages 122-135.
    23. Saijo, Tatsuyoshi & Yamato, Takehiko, 1999. "A Voluntary Participation Game with a Non-excludable Public Good," Journal of Economic Theory, Elsevier, vol. 84(2), pages 227-242, February.
    24. John O. Ledyard & Thomas R. Palfrey, 1999. "A Characterization of Interim Efficiency with Public Goods," Econometrica, Econometric Society, vol. 67(2), pages 435-448, March.
    25. Tatsuyoshi Saijo & Yoshitaka Okano, 2014. "Second thoughts," Working Papers SDES-2014-6, Kochi University of Technology, School of Economics and Management, revised Apr 2015.
    26. Cabrales, Antonio & Serrano, Roberto, 2011. "Implementation in adaptive better-response dynamics: Towards a general theory of bounded rationality in mechanisms," Games and Economic Behavior, Elsevier, vol. 73(2), pages 360-374.
    27. Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February.
    28. Kalai, Ehud, 1981. "Preplay negotiations and the prisoner's dilemma," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 375-379, August.
    29. Steiger, Eva-Maria & Zultan, Ro'i, 2014. "See no evil: Information chains and reciprocity," Journal of Public Economics, Elsevier, vol. 109(C), pages 1-12.
    30. Varian, Hal R, 1994. "A Solution to the Problem of Externalities When Agents Are Well-Informed," American Economic Review, American Economic Association, vol. 84(5), pages 1278-1293, December.
    31. Gerber, Anke & Neitzel, Jakob & Wichardt, Philipp C., 2013. "Minimum participation rules for the provision of public goods," European Economic Review, Elsevier, vol. 64(C), pages 209-222.
    32. Charness, Gary & Rabin, Matthew, 2001. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt4qz9k8vg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    33. Ananish Chaudhuri & Sara Graziano & Pushkar Maitra, 2006. "Social Learning and Norms in a Public Goods Experiment with Inter-Generational Advice -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(2), pages 357-380.
    34. Andreoni, James A & Miller, John H, 1993. "Rational Cooperation in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence," Economic Journal, Royal Economic Society, vol. 103(418), pages 570-585, May.
    35. Chen, Yan, 2008. "Incentive-compatible Mechanisms for Pure Public Goods: A Survey of Experimental Research," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 67, pages 625-643, Elsevier.
    36. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 9-41, June.
    37. Elinor Ostrom, 2000. "Collective Action and the Evolution of Social Norms," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 137-158, Summer.
    38. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
    39. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
    40. Arifovic, Jasmina & Ledyard, John, 2011. "A behavioral model for mechanism design: Individual evolutionary learning," Journal of Economic Behavior & Organization, Elsevier, vol. 78(3), pages 374-395, May.
    41. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    42. Stefanie A. Lindquist, 2007. "Ex Interim Voting: An Experimental Study of Referendums for Public-Good Provision. Comment," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 163(1), pages 81-83, March.
    43. Ananish Chaudhuri, 2011. "Sustaining cooperation in laboratory public goods experiments: a selective survey of the literature," Experimental Economics, Springer;Economic Science Association, vol. 14(1), pages 47-83, March.
    44. Healy, Paul J., 2006. "Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms," Journal of Economic Theory, Elsevier, vol. 129(1), pages 114-149, July.
    45. Rege, Mari & Telle, Kjetil, 2004. "The impact of social approval and framing on cooperation in public good situations," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1625-1644, July.
    46. Vincent P. Crawford & Tamar Kugler & Zvika Neeman & Ady Pauzner, 2009. "Behaviorally Optimal Auction Design: Examples and Observations," Journal of the European Economic Association, MIT Press, vol. 7(2-3), pages 377-387, 04-05.
    47. repec:lmu:muenar:20867 is not listed on IDEAS
    48. Dannenberg, Astrid, 2012. "Coalition Formation and Voting in Public Goods Games," Strategic Behavior and the Environment, now publishers, vol. 2(1), pages 83-105, January.
    49. Timothy Cason & Lata Gangadharan, 2015. "Promoting cooperation in nonlinear social dilemmas through peer punishment," Experimental Economics, Springer;Economic Science Association, vol. 18(1), pages 66-88, March.
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    Cited by:

    1. Tatsuyoshi Saijo & Takehito Masuda & Takafumi Yamakawa, 2018. "Approval mechanism to solve prisoner’s dilemma: comparison with Varian’s compensation mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 65-77, June.
    2. Tatsuyoshi Saijo & Takehito Masuda & Takafumi Yamakawa, "undated". "Approval Mechanism to Solve Prisoner’s Dilemma: Comparison with Varian’s Compensation Mechanism," Working Papers SDES-2016-15, Kochi University of Technology, School of Economics and Management.
    3. Saijo, Tatsuyoshi & Shen, Junyi, 2018. "Mate choice mechanism for solving a quasi-dilemma," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 72(C), pages 1-8.
    4. Tatsuyoshi Saijo, 2019. "Second thoughts of social dilemma in mechanism design," Working Papers SDES-2019-6, Kochi University of Technology, School of Economics and Management, revised Jun 2019.

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    More about this item

    Keywords

    social dilemma; experiment; conditional cooperator; behavioral heterogeneity;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • P43 - Political Economy and Comparative Economic Systems - - Other Economic Systems - - - Finance; Public Finance

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