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Fairness and risk in ultimatum bargaining

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  • Hyndman, Kyle
  • Walker, Matthew J.

Abstract

We conduct an ultimatum bargaining experiment but, rather than bargaining over money, subjects bargain over lottery tickets for a mutually exclusive prize. We find that proposers offer a significantly lower percentage of lottery tickets to responders than the equivalent offer when bargaining over money. In contrast, responders have a significantly higher acceptance threshold, which is consistent with responders being risk averse and possessing ex-post fairness concerns. This difference can be rationalized if proposers have incomplete information or incorrect beliefs about responders' preferences. We provide evidence supportive of proposers holding incorrect beliefs. Specifically, we observe an incongruence between how sensitive proposers expect responders to be to regret, and how sensitive responders are. By varying the timing of responders' decision, we show that intentions matter and present evidence of an anomaly in responders' preferences. Specifically, when responders decide after the resolution of uncertainty, they are more willing to accept extreme inequality.

Suggested Citation

  • Hyndman, Kyle & Walker, Matthew J., 2022. "Fairness and risk in ultimatum bargaining," Games and Economic Behavior, Elsevier, vol. 132(C), pages 90-105.
    • Handle: RePEc:eee:gamebe:v:132:y:2022:i:c:p:90-105
    DOI: 10.1016/j.geb.2021.12.003
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    as
    1. Jérôme Hergueux & Nicolas Jacquemet, 2015. "Social preferences in the online laboratory: a randomized experiment," Experimental Economics, Springer;Economic Science Association, vol. 18(2), pages 251-283, June.
    2. Shogren, Jason F., 1992. "An experiment on Coasian bargaining over ex ante lotteries and ex post rewards," Journal of Economic Behavior & Organization, Elsevier, vol. 17(1), pages 153-169, January.
    3. Gary Charness, 2004. "Attribution and Reciprocity in an Experimental Labor Market," Journal of Labor Economics, University of Chicago Press, vol. 22(3), pages 665-688, July.
    4. 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.
    5. Jordi Brandts & Gary Charness, 2011. "The strategy versus the direct-response method: a first survey of experimental comparisons," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 375-398, September.
    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. Jona Linde & Joep Sonnemans, 2012. "Social comparison and risky choices," Journal of Risk and Uncertainty, Springer, vol. 44(1), pages 45-72, February.
    8. Antonio A. Arechar & Simon Gächter & Lucas Molleman, 2018. "Conducting interactive experiments online," Experimental Economics, Springer;Economic Science Association, vol. 21(1), pages 99-131, March.
    9. Bartling, Björn & Engl, Florian & Weber, Roberto A., 2014. "Does willful ignorance deflect punishment? – An experimental study," European Economic Review, Elsevier, vol. 70(C), pages 512-524.
    10. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    11. Riedl, Arno & van Winden, Frans, 2012. "Input versus output taxation in an experimental international economy," European Economic Review, Elsevier, vol. 56(2), pages 216-232.
    12. John Horton & David Rand & Richard Zeckhauser, 2011. "The online laboratory: conducting experiments in a real labor market," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 399-425, September.
    13. Elena Cettolin & Franziska Tausch, 2015. "Risk taking and risk sharing: Does responsibility matter?," Journal of Risk and Uncertainty, Springer, vol. 50(3), pages 229-248, June.
    14. Alexander W. Cappelen & James Konow & Erik ?. S?rensen & Bertil Tungodden, 2013. "Just Luck: An Experimental Study of Risk-Taking and Fairness," American Economic Review, American Economic Association, vol. 103(4), pages 1398-1413, June.
    15. Larrick, Richard P. & Boles, Terry L., 1995. "Avoiding Regret in Decisions with Feedback: A Negotiation Example," Organizational Behavior and Human Decision Processes, Elsevier, vol. 63(1), pages 87-97, July.
    16. Alexander W. Cappelen & Astri Drange Hole & Erik Ø Sørensen & Bertil Tungodden, 2007. "The Pluralism of Fairness Ideals: An Experimental Approach," American Economic Review, American Economic Association, vol. 97(3), pages 818-827, June.
    17. Trautmann, Stefan T. & Wakker, Peter P., 2010. "Process fairness and dynamic consistency," Economics Letters, Elsevier, vol. 109(3), pages 187-189, December.
    18. Michal Krawczyk, 2011. "A model of procedural and distributive fairness," Theory and Decision, Springer, vol. 70(1), pages 111-128, January.
    19. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    20. Gérard P. Cachon, 2004. "The Allocation of Inventory Risk in a Supply Chain: Push, Pull, and Advance-Purchase Discount Contracts," Management Science, INFORMS, vol. 50(2), pages 222-238, February.
    21. Chassang, Sylvain & Zehnder, Christian, 2016. "Rewards and punishments: informal contracting through social preferences," Theoretical Economics, Econometric Society, vol. 11(3), September.
    22. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    23. Stefan T. Trautmann & Gijs Kuilen, 2016. "Process fairness, outcome fairness, and dynamic consistency: Experimental evidence for risk and ambiguity," Journal of Risk and Uncertainty, Springer, vol. 53(2), pages 75-88, December.
    24. repec:adr:anecst:y:2001:i:63-64:p:03 is not listed on IDEAS
    25. Armin Falk & Ernst Fehr & Urs Fischbacher, 2003. "On the Nature of Fair Behavior," Economic Inquiry, Western Economic Association International, vol. 41(1), pages 20-26, January.
    26. Daniel J. Zizzo & Andrew J. Oswald, 2001. "Are People Willing to Pay to Reduce Others'Incomes?," Annals of Economics and Statistics, GENES, issue 63-64, pages 39-65.
    27. Ingrid Rohde & Kirsten Rohde, 2011. "Risk attitudes in a social context," Journal of Risk and Uncertainty, Springer, vol. 43(3), pages 205-225, December.
    28. Elena Cettolin & Arno Riedl, 2017. "Justice Under Uncertainty," Management Science, INFORMS, vol. 63(11), pages 3739-3759, November.
    29. Steffen Andersen & Glenn Harrison & Morten Lau & E. Rutström, 2009. "Elicitation using multiple price list formats," Experimental Economics, Springer;Economic Science Association, vol. 12(3), pages 365-366, September.
    30. 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.
    31. Fudenberg, Drew & Levine, David K., 2012. "Fairness, risk preferences and independence: Impossibility theorems," Journal of Economic Behavior & Organization, Elsevier, vol. 81(2), pages 606-612.
    32. J. Michelle Brock & Andreas Lange & Erkut Y. Ozbay, 2013. "Dictating the Risk: Experimental Evidence on Giving in Risky Environments," American Economic Review, American Economic Association, vol. 103(1), pages 415-437, February.
    33. Falk, Armin & Fehr, Ernst & Fischbacher, Urs, 2008. "Testing theories of fairness--Intentions matter," Games and Economic Behavior, Elsevier, vol. 62(1), pages 287-303, January.
    34. Gary E Bolton & Jordi Brandts & Axel Ockenfels, 2005. "Fair Procedures: Evidence from Games Involving Lotteries," Economic Journal, Royal Economic Society, vol. 115(506), pages 1054-1076, October.
    35. repec:cup:judgdm:v:5:y:2010:i:5:p:411-419 is not listed on IDEAS
    36. Luciano Andreozzi & Matteo Ploner & Ivan Soraperra, 2013. "Justice among strangers. On altruism, inequality aversion and fairness," CEEL Working Papers 1304, Cognitive and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia.
    37. Chesney, Thomas & Chuah, Swee-Hoon & Hoffmann, Robert, 2009. "Virtual world experimentation: An exploratory study," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 618-635, October.
    38. Kota Saito, 2013. "Social Preferences under Risk: Equality of Opportunity versus Equality of Outcome," American Economic Review, American Economic Association, vol. 103(7), pages 3084-3101, December.
    39. 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.
    40. Celse, Jeremy & Karakostas, Alexandros & Zizzo, Daniel John, 2023. "Relative risk taking and social curiosity," Journal of Economic Behavior & Organization, Elsevier, vol. 210(C), pages 243-264.
    41. Freundt, Jana & Lange, Andreas, 2017. "On the determinants of giving under risk," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 24-31.
    42. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    43. Blount, Sally, 1995. "When Social Outcomes Aren't Fair: The Effect of Causal Attributions on Preferences," Organizational Behavior and Human Decision Processes, Elsevier, vol. 63(2), pages 131-144, August.
    44. Ofra Amir & David G Rand & Ya'akov Kobi Gal, 2012. "Economic Games on the Internet: The Effect of $1 Stakes," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-4, February.
    45. Amrei Lahno & Marta Serra-Garcia, 2015. "Peer effects in risk taking: Envy or conformity?," Journal of Risk and Uncertainty, Springer, vol. 50(1), pages 73-95, February.
    46. Eckel, Catherine C & Grossman, Philip J, 2001. "Chivalry and Solidarity in Ultimatum Games," Economic Inquiry, Western Economic Association International, vol. 39(2), pages 171-188, April.
    47. Andreas Friedl & Katharina Lima de Miranda & Ulrich Schmidt, 2014. "Insurance demand and social comparison: An experimental analysis," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 97-109, April.
    48. Müller, Stephan & Rau, Holger A., 2019. "Decisions under uncertainty in social contexts," Games and Economic Behavior, Elsevier, vol. 116(C), pages 73-95.
    49. James Andreoni & B. Douglas Bernheim, 2009. "Social Image and the 50-50 Norm: A Theoretical and Experimental Analysis of Audience Effects," Econometrica, Econometric Society, vol. 77(5), pages 1607-1636, September.
    50. Michal Krawczyk & Fabrice Le Lec, 2010. "‘Give me a chance!’ An experiment in social decision under risk," Experimental Economics, Springer;Economic Science Association, vol. 13(4), pages 500-511, December.
    51. Björn Bartling & Urs Fischbacher, 2012. "Shifting the Blame: On Delegation and Responsibility," Review of Economic Studies, Oxford University Press, vol. 79(1), pages 67-87.
    52. Kircher, Philipp & Sandroni, Alvaro & Ludwig, Sandra, 2009. "Fairness: A Critique to the Utilitarian Approach," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 288, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    53. Vendrik, Maarten C.M. & Woltjer, Geert B., 2007. "Happiness and loss aversion: Is utility concave or convex in relative income?," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1423-1448, August.
    54. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    55. Zizzo, Daniel John, 2003. "Money burning and rank egalitarianism with random dictators," Economics Letters, Elsevier, vol. 81(2), pages 263-266, November.
    56. Mengjie Wang, 2017. "Does strategy fairness make inequality more acceptable?," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 17-08, School of Economics, University of East Anglia, Norwich, UK..
    57. Patrick Bajari & Stephanie Houghton & Steven Tadelis, 2014. "Bidding for Incomplete Contracts: An Empirical Analysis of Adaptation Costs," American Economic Review, American Economic Association, vol. 104(4), pages 1288-1319, April.
    58. Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September.
    59. Erik Snowberg & Leeat Yariv, 2021. "Testing the Waters: Behavior across Participant Pools," American Economic Review, American Economic Association, vol. 111(2), pages 687-719, February.
    60. Siddharth Suri & Duncan J Watts, 2011. "Cooperation and Contagion in Web-Based, Networked Public Goods Experiments," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-18, March.
    61. Offerman, Theo, 2002. "Hurting hurts more than helping helps," European Economic Review, Elsevier, vol. 46(8), pages 1423-1437, September.
    62. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
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    1. Celse, Jeremy & Karakostas, Alexandros & Zizzo, Daniel John, 2023. "Relative risk taking and social curiosity," Journal of Economic Behavior & Organization, Elsevier, vol. 210(C), pages 243-264.

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