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The Efficiency of Real-World Bargaining: Evidence from Wholesale Used-Auto Auctions

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  • Bradley J Larsen

Abstract

This study empirically quantifies the efficiency of a real-world bargaining game with two-sided incomplete information. Myerson and Satterthwaite (1983) and Williams (1987) derived the theoretical ex-ante efficient frontier for bilateral trade under two-sided uncertainty and demonstrated that it falls short of ex-post efficiency, but little is known about how well bargaining performs in practice. Using about 265,000 sequences of a game of alternating-offer bargaining following an ascending auction in the wholesale used-car industry, this study estimates (or bounds) distributions of buyer and seller values and evaluates where realized bargaining outcomes lie relative to efficient outcomes. Results demonstrate that the ex-ante and ex-post efficient outcomes are close to one another, but that the real bargaining falls short of both, suggesting that the bargaining is indeed inefficient but that this inefficiency is not solely due to the information constraints highlighted in Myerson and Satterthwaite (1983). Quantitatively, findings indicate that over one-half of failed negotiations are cases where gains from trade exist, leading an efficiency loss of 12–23% of the available gains from trade.

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  • 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.
    • Handle: RePEc:oup:restud:v:88:y:2021:i:2:p:851-882.
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    File URL: http://hdl.handle.net/10.1093/restud/rdaa007
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    1. Yasutora Watanabe, 2005. "Learning and Bargaining in Dispute Resolution: Theory and Evidence from Medical Malpractice Litigation," 2005 Meeting Papers 440, Society for Economic Dynamics.
    2. Olivier Compte & Philippe Jehiel, 2002. "On the Role of Outside Options in Bargaining with Obstinate Parties," Econometrica, Econometric Society, vol. 70(4), pages 1477-1517, July.
    3. Victor Chernozhukov & Sokbae Lee & Adam M. Rosen, 2013. "Intersection Bounds: Estimation and Inference," Econometrica, Econometric Society, vol. 81(2), pages 667-737, March.
    4. V. Chernozhukov & I. Fernández-Val & A. Galichon, 2009. "Improving point and interval estimators of monotone functions by rearrangement," Biometrika, Biometrika Trust, vol. 96(3), pages 559-575.
    5. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    6. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    7. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
    8. Ausubel, Lawrence M. & Cramton, Peter & Deneckere, Raymond J., 2002. "Bargaining with incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 50, pages 1897-1945, Elsevier.
    9. Robert G. Hammond & Thayer Morrill, 2014. "Strategic Exclusion Of The Highest-Valued Bidders In Wholesale Automobile Auctions," Economic Inquiry, Western Economic Association International, vol. 52(3), pages 1219-1230, July.
    10. In-Koo Cho, 1990. "Uncertainty and Delay in Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 575-595.
    11. Li, Tong & Perrigne, Isabelle & Vuong, Quang, 2000. "Conditionally independent private information in OCS wildcat auctions," Journal of Econometrics, Elsevier, vol. 98(1), pages 129-161, September.
    12. Peter C. Cramton, 1991. "Dynamic Bargaining with Transaction Costs," Management Science, INFORMS, vol. 37(10), pages 1221-1233, October.
    13. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225, Elsevier.
    14. 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.
    15. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    16. 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.
    17. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
    18. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    19. Athey, Susan & Haile, Philip A., 2007. "Nonparametric Approaches to Auctions," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 60, Elsevier.
    20. Wang, Ruqu, 2000. "Bidding and renegotiation in procurement auctions," European Economic Review, Elsevier, vol. 44(8), pages 1577-1597, August.
    21. Gul, Faruk & Sonnenschein, Hugo, 1988. "On Delay in Bargaining with One-Sided Uncertainty," Econometrica, Econometric Society, vol. 56(3), pages 601-611, May.
    22. Philip A. Haile & Han Hong & Matthew Shum, 2003. "Nonparametric Tests for Common Values at First-Price Sealed-Bid Auctions," NBER Working Papers 10105, National Bureau of Economic Research, Inc.
    23. Eklof, Matias & Lunander, Anders, 2003. "Open outcry auctions with secret reserve prices: an empirical application to executive auctions of tenant owner's apartments in Sweden," Journal of Econometrics, Elsevier, vol. 114(2), pages 243-260, June.
    24. Joel Sobel & Takahashi, 1983. "A Multi-stage Model of Bargaining," Levine's Working Paper Archive 255, David K. Levine.
    25. Economides, Nicholas & Siow, Aloysius, 1988. "The Division of Markets is Limited by the Extent of Liquidity (Spatial Competition with Externalities)," American Economic Review, American Economic Association, vol. 78(1), pages 108-121, March.
    26. Attila Ambrus & Eric Chaney & Igor Salitskiy, 2011. "Appendix for Pirates of the Mediterranean: An Empirical Investigation of Bargaining with Transaction Costs," Working Papers 11-25, Duke University, Department of Economics.
    27. 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.
    28. Yossi Feinberg & Andrzej Skrzypacz, 2005. "Uncertainty about Uncertainty and Delay in Bargaining," Econometrica, Econometric Society, vol. 73(1), pages 69-91, January.
    29. Holger Sieg, 2000. "Estimating a Bargaining Model with Asymmetric Information: Evidence from Medical Malpractice Disputes," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 1006-1021, October.
    30. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    31. 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.
    32. 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.
    33. Peter C. Cramton, 1984. "Bargaining with Incomplete Information: An Infinite-Horizon Model with Two-Sided Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 579-593.
    34. Menezes, Flavio & Ryan, Matthew J., 2005. "Reserve price commitments in auctions," Economics Letters, Elsevier, vol. 87(1), pages 35-39, April.
    35. 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.
    36. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    37. Attila Ambrus & Eric Chaney & Igor Salitskiy, 2011. "Pirates of the Mediterranean: An Empirical Investigation of Bargaining with Transaction Costs," Working Papers 11-24, Duke University, Department of Economics.
    38. Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
    39. Ausubel, Lawrence M & Deneckere, Raymond J, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Econometrica, Econometric Society, vol. 57(3), pages 511-531, May.
    40. Nicola Lacetera & Bradley J. Larsen & Devin G. Pope & Justin R. Sydnor, 2016. "Bid Takers or Market Makers? The Effect of Auctioneers on Auction Outcome," American Economic Journal: Microeconomics, American Economic Association, vol. 8(4), pages 195-229, November.
    41. James W. Roberts, 2013. "Unobserved heterogeneity and reserve prices in auctions," RAND Journal of Economics, RAND Corporation, vol. 44(4), pages 712-732, December.
    42. Kennan, John & Wilson, Robert, 1993. "Bargaining with Private Information," Journal of Economic Literature, American Economic Association, vol. 31(1), pages 45-104, March.
    43. Grossman, Sanford J. & Perry, Motty, 1986. "Sequential bargaining under asymmetric information," Journal of Economic Theory, Elsevier, vol. 39(1), pages 120-154, June.
    44. 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.
    45. Townsend, Robert M., 1983. "Theories of intermediated structures," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 18(1), pages 221-272, January.
    46. Elena Krasnokutskaya, 2011. "Identification and Estimation of Auction Models with Unobserved Heterogeneity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 293-327.
    47. Perry, Motty, 1986. "An Example of Price Formation in Bilateral Situations: A Bargaining Model with Incomplete Information," Econometrica, Econometric Society, vol. 54(2), pages 313-321, March.
    48. Genesove, David, 1993. "Adverse Selection in the Wholesale Used Car Market," Journal of Political Economy, University of Chicago Press, vol. 101(4), pages 644-665, August.
    49. 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.
    50. Philip A. Haile & Elie Tamer, 2003. "Inference with an Incomplete Model of English Auctions," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 1-51, February.
    51. Drew Fudenberg & Jean Tirole, 1983. "Sequential Bargaining with Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(2), pages 221-247.
    52. Sushil Bikhchandani, 1992. "A Bargaining Model with Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 187-203.
    53. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    54. Matt Shum & Phil Haile & Han Hong, 2003. "Nonparametric Tests for Common Values in First-Price Auctions," Economics Working Paper Archive 501, The Johns Hopkins University,Department of Economics.
    55. Williams, Steven R., 1987. "Efficient performance in two agent bargaining," Journal of Economic Theory, Elsevier, vol. 41(1), pages 154-172, February.
    56. Kalyan Chatterjee & Larry Samuelson, 1988. "Bargaining Under Two-Sided Incomplete Information: The Unrestricted Offers Case," Operations Research, INFORMS, vol. 36(4), pages 605-618, August.
    57. Joel Sobel & Ichiro Takahashi, 1983. "A Multistage Model of Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 411-426.
    58. 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.
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    More about this item

    Keywords

    Bargaining; Incomplete information; Bounds identification; Myerson–Satterthwaite Theorem; Efficiency; Empirical market design; Alternating offers; Negotiation;
    All these keywords.

    JEL classification:

    • C57 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Econometrics of Games and Auctions
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

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