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Sequential Bargaining in the Field: Evidence from Millions of Online Bargaining Interactions

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  • Matthew Backus
  • Thomas Blakee
  • Brad Larsen
  • Steven Tadelis

Abstract

We study patterns of behavior in bilateral bargaining situations using a rich new data set describing back-and-forth sequential bargaining occurring in over 25 million listings from eBay’s Best Offer platform. We compare observed behavior to predictions from the large theoretical bargaining literature. One-third of bargaining interactions end in immediate agreement, as predicted by complete-information models. The majority of sequences play out differently, ending in disagreement or delayed agreement, which have been rationalized by incomplete information models. We find that stronger bargaining power and better outside options improve agents’ outcomes. Robust empirical findings that existing models cannot rationalize include reciprocal (and gradual) concession behavior and delayed disagreement. Another robust pattern at odds with existing theory is that players exhibit a preference for making and accepting offers that split the difference between the two most recent offers. These observations suggest that behavioral norms, which are neither incorporated nor explained by existing theories, play an important role in the success of bargaining outcomes.

Suggested Citation

  • Matthew Backus & Thomas Blakee & Brad Larsen & Steven Tadelis, 2020. "Sequential Bargaining in the Field: Evidence from Millions of Online Bargaining Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1319-1361.
  • Handle: RePEc:oup:qjecon:v:135:y:2020:i:3:p:1319-1361.
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    File URL: http://hdl.handle.net/10.1093/qje/qjaa003
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    1. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap talk can matter in bargaining," Journal of Economic Theory, Elsevier, vol. 48(1), pages 221-237, June.
    2. Radner, Roy & Schotter, Andrew, 1989. "The sealed-bid mechanism: An experimental study," Journal of Economic Theory, Elsevier, vol. 48(1), pages 179-220, June.
    3. 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.
    4. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    5. Elyakime, Bernard, et al, 1997. "Auctioning and Bargaining: An Econometric Study of Timber Auctions with Secret Reservation Prices," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(2), pages 209-220, April.
    6. Kate Ho & Robin S. Lee, 2017. "Insurer Competition in Health Care Markets," Econometrica, Econometric Society, vol. 85, pages 379-417, March.
    7. Allan Collard-Wexler & Gautam Gowrisankaran & Robin S. Lee, 2019. ""Nash-in-Nash" Bargaining: A Microfoundation for Applied Work," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 163-195.
    8. Gregory S. Crawford & Robin S. Lee & Michael D. Whinston & Ali Yurukoglu, 2018. "The Welfare Effects of Vertical Integration in Multichannel Television Markets," Econometrica, Econometric Society, vol. 86(3), pages 891-954, May.
    9. Muhamet Yildiz, 2003. "Bargaining without a Common Prior-An Immediate Agreement Theorem," Econometrica, Econometric Society, vol. 71(3), pages 793-811, May.
    10. Rubinstein, Ariel, 1985. "A Bargaining Model with Incomplete Information about Time Preferences," Econometrica, Econometric Society, vol. 53(5), pages 1151-1172, September.
    11. Binmore, K & Shaked, A & Sutton, J, 1985. "Testing Noncooperative Bargaining Theory: A Preliminary Study," American Economic Review, American Economic Association, vol. 75(5), pages 1178-1180, December.
    12. Jason Allen & Robert Clark & Jean-François Houde, 2019. "Search Frictions and Market Power in Negotiated-Price Markets," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1550-1598.
    13. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    14. Gautam Gowrisankaran & Aviv Nevo & Robert Town, 2015. "Mergers When Prices Are Negotiated: Evidence from the Hospital Industry," American Economic Review, American Economic Association, vol. 105(1), pages 172-203, January.
    15. Ken Binmore & Avner Shared & John Sutton, 1989. "An Outside Option Experiment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(4), pages 753-770.
    16. 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.
    17. Steven Tadelis, 2009. "Auctions Versus Negotiations in Procurement: An Empirical Analysis," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 25(2), pages 372-399, October.
    18. Peter C. Cramton, 1992. "Strategic Delay in Bargaining with Two-Sided Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 205-225.
    19. Fiona Scott Morton & Jorge Silva-Risso & Florian Zettelmeyer, 2011. "What matters in a price negotiation: Evidence from the U.S. auto retailing industry," Quantitative Marketing and Economics (QME), Springer, vol. 9(4), pages 365-402, December.
    20. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    21. Gregory S. Crawford & Ali Yurukoglu, 2012. "The Welfare Effects of Bundling in Multichannel Television Markets," American Economic Review, American Economic Association, vol. 102(2), pages 643-685, April.
    22. Vuong, Q. & Laffont, J.J. & Elyakime, B. & Loisel, P., 1995. "Auctioning and Bargaining: An Econometric Study of Timber Auctions with Secret Reservation Prices," Papers 9502, Southern California - Department of Economics.
    23. Bradley J Larsen, 2021. "The Efficiency of Real-World Bargaining: Evidence from Wholesale Used-Auto Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 851-882.
    24. Bolton, Gary E, 1991. "A Comparative Model of Bargaining: Theory and Evidence," American Economic Review, American Economic Association, vol. 81(5), pages 1096-1136, December.
    25. Valley, Kathleen & Thompson, Leigh & Gibbons, Robert & Bazerman, Max H., 2002. "How Communication Improves Efficiency in Bargaining Games," Games and Economic Behavior, Elsevier, vol. 38(1), pages 127-155, January.
    26. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    27. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    28. Matthew Grennan & Ashley Swanson, 2020. "Transparency and Negotiated Prices: The Value of Information in Hospital-Supplier Bargaining," Journal of Political Economy, University of Chicago Press, vol. 128(4), pages 1234-1268.
    29. Henrick Horn & Asher Wolinsky, 1988. "Bilateral Monopolies and Incentives for Merger," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 408-419, Autumn.
    30. Crawford, Vincent P, 1990. "Explicit Communication and Bargaining Outcomes," American Economic Review, American Economic Association, vol. 80(2), pages 213-219, May.
    31. Bernardo S. Silveira, 2017. "Bargaining With Asymmetric Information: An Empirical Study of Plea Negotiations," Econometrica, Econometric Society, vol. 85, pages 419-452, March.
    32. John T. Addison & Claus Schnabel (ed.), 2003. "International Handbook of Trade Unions," Books, Edward Elgar Publishing, number 2705.
    33. Sandro Shelegia & Joshua Sherman, 2014. "When the Price You See Is Not the Price You Get: A Bargaining Study," Vienna Economics Papers vie1410, University of Vienna, Department of Economics.
    34. Anat R. Admati & Motty Perry, 1987. "Strategic Delay in Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 345-364.
    35. 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.
    36. Bradley Larsen & Anthony Lee Zhang, 2018. "A Mechanism Design Approach to Identification and Estimation," NBER Working Papers 24837, National Bureau of Economic Research, Inc.
    37. Sandro Shelegia & Joshua Sherman, 2014. "When the Price You See Is Not the Price You Get: A Bargaining Study," Vienna Economics Papers 1410, University of Vienna, Department of Economics.
    38. Liran Einav & Theresa Kuchler & Jonathan Levin & Neel Sundaresan, 2015. "Assessing Sale Strategies in Online Markets Using Matched Listings," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 215-247, May.
    39. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-637, May.
    40. Matthew Grennan, 2013. "Price Discrimination and Bargaining: Empirical Evidence from Medical Devices," American Economic Review, American Economic Association, vol. 103(1), pages 145-177, February.
    41. Matthew Backus & Thomas Blake & Jett Pettus & Steven Tadelis, 2020. "Communication and Bargaining Breakdown: An Empirical Analysis," NBER Working Papers 27984, National Bureau of Economic Research, Inc.
    42. repec:bla:jemstr:v:4:y:1995:i:1:p:55-68:a is not listed on IDEAS
    43. Antonio Merlo & Xun Tang, 2012. "Identification and Estimation of Stochastic Bargaining Models," Econometrica, Econometric Society, vol. 80(4), pages 1563-1604, July.
    44. Drew Fudenberg & David K. Levine & Jean Tirole, 1985. "Infinite-Horizon Models of Bargaining with One-Sided Incomplete Information," Levine's Working Paper Archive 1098, David K. Levine.
    45. Joel Watson, 1998. "Alternating-Offer Bargaining with Two-Sided Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 573-594.
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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D0 - Microeconomics - - General
    • L0 - Industrial Organization - - General

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