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Markets with Bilateral Bargaining and Incomplete Information

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  • Chatterjee, Kalyan
  • Dutta, Bhaskar

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," Economic Research Papers 269732, University of Warwick - Department of Economics.
    • Handle: RePEc:ags:uwarer:269732
    DOI: 10.22004/ag.econ.269732
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    1. Drew Fudenberg & David K. Levine & Jean Tirole, 1987. "Incomplete Information Bargaining with Outside Opportunities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 37-50.
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    4. 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..
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    Cited by:

    1. Kalyan Chatterjee & Kaustav Das, 2013. "Decentralised Bilateral Trading in a Market with Incomplete Information," Discussion Papers 1313, University of Exeter, Department of Economics.

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