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Higher-order Beliefs in a Sequential Social Dilemma

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  • Evan M. Calford
  • Anujit Chakraborty

Abstract

Do experimental subjects have consistent first and higher-order beliefs about other’s preferences? How does any inconsistency affect strategic decisions? We introduce a simple four-player sequential social dilemma where actions reveal first and higher-order beliefs. The unique sub game perfect Nash equilibrium (SPNE) is observed less than 5% of the time, even though our diagnostic treatments show that a majority of our subjects are self-interested, higher-order rational and have accurate first-order beliefs. In our data, strategic play vastly deviates from Nash predictions because first-order and higher-order beliefs are inconsistent for most subjects.

Suggested Citation

  • Evan M. Calford & Anujit Chakraborty, 2022. "Higher-order Beliefs in a Sequential Social Dilemma," ANU Working Papers in Economics and Econometrics 2022-681, Australian National University, College of Business and Economics, School of Economics.
  • Handle: RePEc:acb:cbeeco:2022-681
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    1. Simon Gächter & Elke Renner, 2010. "The effects of (incentivized) belief elicitation in public goods experiments," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 364-377, September.
    2. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    3. Dufwenberg, Martin & Van Essen, Matt, 2018. "King of the Hill: Giving backward induction its best shot," Games and Economic Behavior, Elsevier, vol. 112(C), pages 125-138.
    4. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2002. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Journal of Economic Theory, Elsevier, vol. 104(1), pages 247-272, May.
    5. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
    6. Rutström, E. Elisabet & Wilcox, Nathaniel T., 2009. "Stated beliefs versus inferred beliefs: A methodological inquiry and experimental test," Games and Economic Behavior, Elsevier, vol. 67(2), pages 616-632, November.
    7. Charness, Gary & Dufwenberg, Martin, 2003. "Promises & Partnership," Research Papers in Economics 2003:3, Stockholm University, Department of Economics.
    8. 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.
    9. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    10. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    11. Gary Charness & Martin Dufwenberg, 2006. "Promises and Partnership," Econometrica, Econometric Society, vol. 74(6), pages 1579-1601, November.
    12. Fréchette, Guillaume R. & Kagel, John H. & Lehrer, Steven F., 2003. "Bargaining in Legislatures: An Experimental Investigation of Open versus Closed Amendment Rules," American Political Science Review, Cambridge University Press, vol. 97(2), pages 221-232, May.
    13. Ellingsen, Tore & Johannesson, Magnus & Tjøtta, Sigve & Torsvik, Gaute, 2010. "Testing guilt aversion," Games and Economic Behavior, Elsevier, vol. 68(1), pages 95-107, January.
    14. 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.
    15. David Danz & Lise Vesterlund & Alistair J. Wilson, 2020. "Belief Elicitation: Limiting Truth Telling with Information on Incentives," NBER Working Papers 27327, National Bureau of Economic Research, Inc.
    16. 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.
    17. Steven J. Bosworth, 2017. "The importance of higher-order beliefs to successful coordination," Experimental Economics, Springer;Economic Science Association, vol. 20(1), pages 237-258, March.
    18. Khalmetski, Kiryl & Ockenfels, Axel & Werner, Peter, 2015. "Surprising gifts: Theory and laboratory evidence," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 163-208.
    19. Agranov, Marina & Tergiman, Chloe, 2014. "Communication in multilateral bargaining," Journal of Public Economics, Elsevier, vol. 118(C), pages 75-85.
    20. Kneeland, Terri, 2016. "Coordination under limited depth of reasoning," Games and Economic Behavior, Elsevier, vol. 96(C), pages 49-64.
    21. Evan M. Calford & Anujit Chakraborty, 2020. "The Network Dilemma," Purdue University Economics Working Papers 1323, Purdue University, Department of Economics.
    22. 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.
    23. Frechette, Guillaume & Kagel, John H. & Morelli, Massimo, 2005. "Nominal bargaining power, selection protocol, and discounting in legislative bargaining," Journal of Public Economics, Elsevier, vol. 89(8), pages 1497-1517, August.
    24. Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August.
    25. Andreoni, James & Rao, Justin M., 2011. "The power of asking: How communication affects selfishness, empathy, and altruism," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 513-520, August.
    26. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2013. "Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 5-62, March.
    27. Chen, Daniel L. & Schonger, Martin & Wickens, Chris, 2016. "oTree—An open-source platform for laboratory, online, and field experiments," Journal of Behavioral and Experimental Finance, Elsevier, vol. 9(C), pages 88-97.
    28. David Danz & Lise Vesterlund & Alistair J. Wilson, 2022. "Belief Elicitation and Behavioral Incentive Compatibility," American Economic Review, American Economic Association, vol. 112(9), pages 2851-2883, September.
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    More about this item

    Keywords

    Experimental economics; Higher-order beliefs; Social dilemma;
    All these keywords.

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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