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Markets with Bilateral Bargaining and Incomplete Information

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  • Chatterjee, Kalyan

    (Department of Economics, The Pennsylvania State University,)

  • Dutta, Bhaskar

    (Department of Economics, University of Warwick,)

Abstract

We study the relationship between bargaining and competition with incomplete information. We consider a model with two uninformed and identical buyers and two sellers. One of the sellers has a privately-known reservation price, which can either be Low or High. The other seller’s reservation price is commonly known to be in between the Low and High values of the privately-informed seller. Buyers move in sequence, and make offers with the second buyer observing the offer made by the first buyer. The sellers respond simultaneously. We show that there are two types of (perfect Bayes) equilibrium. In one equilibrium, the buyer who moves second does better. In the second equilibrium, buyers’ expected payoffs are equalised, and the price received by the seller with the known reservation value is determined entirely by the equuilibrium of the two-player game between a single buyer and an informed seller. We also discuss extensions of the model to multiple buyers and sellers, and to the case where both sellers are privately informed.

Suggested Citation

  • Chatterjee, Kalyan & Dutta, Bhaskar, 2006. "Markets with Bilateral Bargaining and Incomplete Information," The Warwick Economics Research Paper Series (TWERPS) 762, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:762
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    File URL: https://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/2006/twerp_762.pdf
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    References listed on IDEAS

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    1. Drew Fudenberg & David K. Levine & Jean Tirole, 1987. "Incomplete Information Bargaining with Outside Opportunities," The Quarterly Journal of Economics, Oxford University Press, vol. 102(1), pages 37-50.
    2. Hendon, Ebbs & Tranaes, Torben, 1991. "Sequential bargaining in a market with one seller and two different buyers," Games and Economic Behavior, Elsevier, vol. 3(4), pages 453-466, November.
    3. Kalyan Chatterjee & Bhaskar Dutta, 2013. "Rubinstein Auctions: On Competition for Bargaining Partners," World Scientific Book Chapters,in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 3, pages 51-77 World Scientific Publishing Co. Pte. Ltd..
    4. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    5. K. G. Binmore & M. J. Herrero, 1988. "Matching and Bargaining in Dynamic Markets," Review of Economic Studies, Oxford University Press, vol. 55(1), pages 17-31.
    6. Larry Samuelson, 1992. "Disagreement in Markets with Matching and Bargaining," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 177-185.
    7. Samuelson, L., 1988. "Disagreement In Markets With Matching And Bargaining," Papers 9-86-1, Pennsylvania State - Department of Economics.
    8. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    9. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 63-78.
    10. Joel Sobel & Ichiro Takahashi, 1983. "A Multistage Model of Bargaining," Review of Economic Studies, Oxford University Press, vol. 50(3), pages 411-426.
    11. 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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