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Bargaining with a Residual Claimant: An Experimental Study

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Listed:
  • Matthew Embrey

    (Department of Economics, University of Sussex)

  • Kyle Hyndmanz

    (Naveen Jindal School of Management, University of Texas at Dalls)

  • Arno Riedl

    (Department of Economics, Maastricht University)

Abstract

Many negotiations involve risks that are only resolved ex-post, and often these risks are not incurred equally by the parties involved. We experimentally investigate bargaining situations where a residual claimant faces ex-post risk, whereas a fixed-payoff player does not. In line with the predictions of a benchmark model, we find that residual claimants extract a risk premium, which increases in risk exposure, and that this premium can be high enough to make it beneficial to bargain over a risky rather than a risk-less pie. In contrast to the model’s predictions, we find that the comparatively less risk averse residual claimants benefit the most from risk exposure and this is driven by fixed-payoff players’ adoption of weak bargaining strategies when the pie is risky. We find evidence for a behavioral mechanism where asymmetric exposure to risk between the two parties creates a wedge between their fairness ideas, which shifts agreements in favor of residual claimants but also increases bargaining friction.

Suggested Citation

  • Matthew Embrey & Kyle Hyndmanz & Arno Riedl, 2020. "Bargaining with a Residual Claimant: An Experimental Study," Working Paper Series 1520, Department of Economics, University of Sussex Business School.
  • Handle: RePEc:sus:susewp:1520
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Konow, James, 2001. "Fair and square: the four sides of distributive justice," Journal of Economic Behavior & Organization, Elsevier, vol. 46(2), pages 137-164, October.
    3. Mitzkewitz, Michael & Nagel, Rosemarie, 1993. "Experimental Results on Ultimatum Games with Incomplete Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(2), pages 171-198.
    4. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    5. Roth, Alvin E, 1989. "Risk Aversion and the Relationship between Nash's Solution and Subgame Perfect Equilibrium of Sequential Bargaining," Journal of Risk and Uncertainty, Springer, vol. 2(4), pages 353-365, December.
    6. Simon G�chter & Arno Riedl, "undated". "Moral Property Rights in Bargaining," IEW - Working Papers 113, Institute for Empirical Research in Economics - University of Zurich.
    7. Elena Cettolin & Arno Riedl & Giang Tran, 2017. "Giving in the face of risk," Journal of Risk and Uncertainty, Springer, vol. 55(2), pages 95-118, December.
    8. Taylor Randall & Serguei Netessine & Nils Rudi, 2006. "An Empirical Examination of the Decision to Invest in Fulfillment Capabilities: A Study of Internet Retailers," Management Science, INFORMS, vol. 52(4), pages 567-580, April.
    9. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    10. Charles N. Noussair & Stefan T. Trautmann & Gijs van de Kuilen, 2014. "Higher Order Risk Attitudes, Demographics, and Financial Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 325-355.
    11. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    12. 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.
    13. 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.
    14. Emin Karagözoğlu & Arno Riedl, 2015. "Performance Information, Production Uncertainty, and Subjective Entitlements in Bargaining," Management Science, INFORMS, vol. 61(11), pages 2611-2626, November.
    15. Rapoport, Amnon & Sundali, James A, 1996. "Ultimatums in Two-Person Bargaining with One-Sided Uncertainty: Offer Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(4), pages 475-494.
    16. Cettolin, Elena & Tausch, Franziska, 2016. "Risk taking and risk sharing: does responsibility matter? (RM/13/045-revised-)," Research Memorandum 018, Maastricht University, Graduate School of Business and Economics (GSBE).
    17. Murnighan, J Keith & Roth, Alvin E & Schoumaker, Francoise, 1988. "Risk Aversion in Bargaining: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 101-124, March.
    18. 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.
    19. Babcock, Linda, et al, 1995. "Biased Judgments of Fairness in Bargaining," American Economic Review, American Economic Association, vol. 85(5), pages 1337-1343, December.
    20. Murnighan, J. Keith & Roth, Alvin E. & Schoumaker, Francoise, 1987. "Risk aversion and bargaining * : Some preliminary results," European Economic Review, Elsevier, vol. 31(1-2), pages 265-271.
    21. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    22. 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.
    23. Roth, Alvin E & Rothblum, Uriel G, 1982. "Risk Aversion and Nash's Solution for Bargaining Games with Risky Outcomes," Econometrica, Econometric Society, vol. 50(3), pages 639-647, May.
    24. Roth, Alvin E & Murnighan, J Keith & Schoumaker, Francoise, 1988. "The Deadline Effect in Bargaining: Some Experimental Evidence," American Economic Review, American Economic Association, vol. 78(4), pages 806-823, September.
    25. Elena Cettolin & Arno Riedl, 2017. "Justice Under Uncertainty," Management Science, INFORMS, vol. 63(11), pages 3739-3759, November.
    26. David Dickinson, 2009. "The Effects of Beliefs Versus Risk Attitude on Bargaining Outcomes," Theory and Decision, Springer, vol. 66(1), pages 69-101, January.
    27. Konow, James, 1996. "A positive theory of economic fairness," Journal of Economic Behavior & Organization, Elsevier, vol. 31(1), pages 13-35, October.
    28. 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.
    29. 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.
    30. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    31. Forsythe, Robert & Kennan, John & Sopher, Barry, 1991. "An Experimental Analysis of Strikes in Bargaining Games with One-Sided Private Information," American Economic Review, American Economic Association, vol. 81(1), pages 253-278, March.
    32. Dilip Abreu & David Pearce & Ennio Stacchetti, 2012. "One-Sided Uncertainty And Delay In Reputational Bargaining," Working Papers 1430, Princeton University, Department of Economics, Econometric Research Program..
    33. Amy Farmer, 2007. "Bargaining over an Uncertain Value: Arbitration Mechanisms Compared," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 23(3), pages 547-579, October.
    34. Harrison, Glenn W. & Lau, Morten I. & Ross, Don & Swarthout, J. Todd, 2017. "Small stakes risk aversion in the laboratory: A reconsideration," Economics Letters, Elsevier, vol. 160(C), pages 24-28.
    35. 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.
    36. Rapoport, Amnon & Sundali, James A. & Seale, Darryl A., 1996. "Ultimatums in two-person bargaining with one-sided uncertainty: Demand games," Journal of Economic Behavior & Organization, Elsevier, vol. 30(2), pages 173-196, August.
    37. Cox, James C. & Sadiraj, Vjollca, 2006. "Small- and large-stakes risk aversion: Implications of concavity calibration for decision theory," Games and Economic Behavior, Elsevier, vol. 56(1), pages 45-60, July.
    38. 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.
    39. Sigbjørn Birkeland & Bertil Tungodden, 2014. "Fairness motivation in bargaining: a matter of principle," Theory and Decision, Springer, vol. 77(1), pages 125-151, June.
    40. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    41. 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.
    42. Simon Gächter & Arno Riedl, 2005. "Moral Property Rights in Bargaining with Infeasible Claims," Management Science, INFORMS, vol. 51(2), pages 249-263, February.
    43. Croson, Rachel T. A., 1996. "Information in ultimatum games: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 30(2), pages 197-212, August.
    44. Guillaume Fréchette, 2012. "Session-effects in the laboratory," Experimental Economics, Springer;Economic Science Association, vol. 15(3), pages 485-498, September.
    45. James Konow, 2000. "Fair Shares: Accountability and Cognitive Dissonance in Allocation Decisions," American Economic Review, American Economic Association, vol. 90(4), pages 1072-1091, September.
    46. White, Lucy, 2008. "Prudence in bargaining: The effect of uncertainty on bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 62(1), pages 211-231, January.
    47. Bolton, Gary E. & Karagözoğlu, Emin, 2016. "On the influence of hard leverage in a soft leverage bargaining game: The importance of credible claims," Games and Economic Behavior, Elsevier, vol. 99(C), pages 164-179.
    48. Adrian Bruhin & Helga Fehr-Duda & Thomas Epper, 2010. "Risk and Rationality: Uncovering Heterogeneity in Probability Distortion," Econometrica, Econometric Society, vol. 78(4), pages 1375-1412, July.
    49. Greiner, Ben, 2004. "An Online Recruitment System for Economic Experiments," MPRA Paper 13513, University Library of Munich, Germany.
    50. Cettolin, E. & Tausch, F., 2013. "Risk taking and risk sharing does responsibility matter?," Research Memorandum 045, Maastricht University, Graduate School of Business and Economics (GSBE).
    51. Jason Dana & Roberto Weber & Jason Kuang, 2007. "Exploiting moral wiggle room: experiments demonstrating an illusory preference for fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 67-80, October.
    52. White, Lucy, 2006. "Prudence in Bargaining: The Effect of Uncertainty on Bargaining Outcomes," CEPR Discussion Papers 5822, C.E.P.R. Discussion Papers.
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    1. Timo Heinrich & Thomas Mayrhofer, 2018. "Higher-order risk preferences in social settings," Experimental Economics, Springer;Economic Science Association, vol. 21(2), pages 434-456, June.
    2. Emin Karagözoglu & Martin G. Kocher, 2015. "Bargaining under Time Pressure," CESifo Working Paper Series 5685, CESifo.
    3. Colin F. Camerer & Gideon Nave & Alec Smith, 2019. "Dynamic Unstructured Bargaining with Private Information: Theory, Experiment, and Outcome Prediction via Machine Learning," Management Science, INFORMS, vol. 65(4), pages 1867-1890, April.
    4. Olivier Bochet & Manshu Khanna & Simon Siegenthaler, 2021. "Beyond the Dividing Pie: Multi-Issue Bargaining in the Laboratory," Working Papers 20210070, New York University Abu Dhabi, Department of Social Science, revised Sep 2021.
    5. Oechssler, Jörg & Roomets, Alex, 2023. "Dissolving an ambiguous partnership," Working Papers 0733, University of Heidelberg, Department of Economics.
    6. Hyndman, Kyle, 2021. "Dissolving partnerships under risk: An experimental investigation," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 702-720.
    7. Hyndman, Kyle, 2023. "Dynamic fairness in repeated bargaining with risk," Journal of Economic Psychology, Elsevier, vol. 94(C).
    8. Bolton, Gary E. & Karagözoğlu, Emin, 2016. "On the influence of hard leverage in a soft leverage bargaining game: The importance of credible claims," Games and Economic Behavior, Elsevier, vol. 99(C), pages 164-179.
    9. Trautmann, Stefan T. & Kuilen, Gijs van de, 2018. "Higher order risk attitudes: A review of experimental evidence," European Economic Review, Elsevier, vol. 103(C), pages 108-124.
    10. Bendoly, Elliot & van Wezel, Wout & Bachrach, Daniel G. (ed.), 2015. "The Handbook of Behavioral Operations Management: Social and Psychological Dynamics in Production and Service Settings," OUP Catalogue, Oxford University Press, number 9780199357222.

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    More about this item

    Keywords

    Bargaining; Ex-post Risk; Reference Points;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • 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

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