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The Role of Commitment in Bilateral Trade

Author

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  • Dino Gerardi
  • Johannes Horner
  • Lucas Maestri

Abstract

This paper characterizes the set of equilibrium payoffs in bargaining with interdependent values when the informed party makes all offers, as discounting vanishes. The seller of a good is informed of its quality, which affects both his cost and the buyer's valuation, but the buyer is not. To characterize this payoff set, we derive an upper bound, using mechanism design with limited commitment. We then prove that this upper bound is tight, by showing that all its extreme points are equilibrium payoffs. Our results shed light on the role of different forms of commitment in bargaining. In particular, they imply that the buyer's inability to commit before observing the terms of trade is what precludes efficiency.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Dino Gerardi & Johannes Horner & Lucas Maestri, 2010. "The Role of Commitment in Bilateral Trade," Levine's Working Paper Archive 661465000000000117, David K. Levine.
  • Handle: RePEc:cla:levarc:661465000000000117
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    References listed on IDEAS

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    1. Forges Francoise, 1994. "Posterior Efficiency," Games and Economic Behavior, Elsevier, vol. 6(2), pages 238-261, March.
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, May.
    4. Mylovanov, Tymofiy, 2008. "Veto-based delegation," Journal of Economic Theory, Elsevier, vol. 138(1), pages 297-307, January.
    5. Ausubel, Lawrence M. & Deneckere, Raymond J., 1989. "A direct mechanism characterization of sequential bargaining with one-sided incomplete information," Journal of Economic Theory, Elsevier, vol. 48(1), pages 18-46, June.
    6. John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, Oxford University Press, vol. 98(2), pages 267-289.
    7. Raymond Deneckere & Meng-Yu Liang, 2006. "Bargaining with Interdependent Values," Econometrica, Econometric Society, vol. 74(5), pages 1309-1364, September.
    8. Samuelson, William F, 1984. "Bargaining under Asymmetric Information," Econometrica, Econometric Society, vol. 52(4), pages 995-1005, July.
    9. Matthews, Steven A. & Postlewaite, Andrew, 1989. "Pre-play communication in two-person sealed-bid double auctions," Journal of Economic Theory, Elsevier, vol. 48(1), pages 238-263, June.
    10. Gresik, Thomas A., 1991. "Ex ante efficient, ex post individually rational trade," Journal of Economic Theory, Elsevier, vol. 53(1), pages 131-145, February.
    11. Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-1098, July.
    12. Gresik, Thomas A., 1991. "Ex ante incentive efficient trading mechanisms without the private valuation restriction," Journal of Economic Theory, Elsevier, vol. 55(1), pages 41-63, October.
    13. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, Oxford University Press, vol. 84(3), pages 488-500.
    14. 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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    Citations

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    Cited by:

    1. Camargo, Braz & Lester, Benjamin, 2014. "Trading dynamics in decentralized markets with adverse selection," Journal of Economic Theory, Elsevier, vol. 153(C), pages 534-568.
    2. Sher, Itai & Vohra, Rakesh, 2015. "Price discrimination through communication," Theoretical Economics, Econometric Society, vol. 10(2), May.
    3. Jean Tirole, 2016. "From Bottom of the Barrel to Cream of the Crop: Sequential Screening With Positive Selection," Econometrica, Econometric Society, vol. 84, pages 1291-1343, July.
    4. Dino Gerardi & Lucas Maestri, 2013. "Bargaining over a Divisible Good in the Market for Lemons," Carlo Alberto Notebooks 312, Collegio Carlo Alberto.
    5. repec:the:publsh:2543 is not listed on IDEAS
    6. Marilyn Pease & Kyungmin Kim, 2014. "Costly Search with Adverse Selection: Solicitation Curse vs. Accelerating Blessing," 2014 Meeting Papers 816, Society for Economic Dynamics.
    7. Robert Shimer & Iván Werning, 2015. "Efficiency and Information Transmission in Bilateral Trading," NBER Working Papers 21495, National Bureau of Economic Research, Inc.

    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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