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Decentralised Bilateral Trading in a Market with Incomplete Information

Author

Listed:
  • Kalyan Chatterjee

    (Department of Economics, Pennsylvania State University.)

  • Kaustav Das

    (Department of Economics, University of Exeter)

Abstract

We study a model of decentralised bilateral interactions in a small market where one of the sellers has private information about her value. There are two identical buyers and another seller, whose valuation is commonly known to be in between the two possible valuations of the informed seller. We consider two in?nite horizon games, with public and private simultaneous one-sided o¤ers respectively and simultaneous responses. We show that there is a stationary perfect Bayes?equilibrium for both models such that prices in all transactions converge to the same value as the discount factor goes to 1.

Suggested Citation

  • Kalyan Chatterjee & Kaustav Das, 2013. "Decentralised Bilateral Trading in a Market with Incomplete Information," Discussion Papers 1313, University of Exeter, Department of Economics.
  • Handle: RePEc:exe:wpaper:1313
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    References listed on IDEAS

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    1. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    2. Gale,Douglas, 2000. "Strategic Foundations of General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521644105.
    3. Gantner, Anita, 2008. "Bargaining, search, and outside options," Games and Economic Behavior, Elsevier, vol. 62(2), pages 417-435, March.
    4. 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.
    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. 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.
    7. Georg Noldeke & Eric van Damme, 1990. "Signalling in a Dynamic Labour Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 1-23.
    8. Peters, Michael & Severinov, Sergei, 2006. "Internet auctions with many traders," Journal of Economic Theory, Elsevier, vol. 130(1), pages 220-245, September.
    9. 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..
    10. Abhinay Muthoo, 1995. "On the Strategic Role of Outside Options in Bilateral Bargaining," Operations Research, INFORMS, vol. 43(2), pages 292-297, April.
    11. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    12. Michael Peters, 2010. "Noncontractible Heterogeneity in Directed Search," Econometrica, Econometric Society, vol. 78(4), pages 1173-1200, July.
    13. K. G. Binmore & M. J. Herrero, 1988. "Matching and Bargaining in Dynamic Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 17-31.
    14. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    15. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    16. Chatterjee, Kalyan & Lee, Ching Chyi, 1998. "Bargaining and Search with Incomplete Information about Outside Options," Games and Economic Behavior, Elsevier, vol. 22(2), pages 203-237, February.
    17. Baliga Sandeep & Serrano Roberto, 1995. "Multilateral Bargaining with Imperfect Information," Journal of Economic Theory, Elsevier, vol. 67(2), pages 578-589, December.
    18. 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.
    19. Chatterjee, Kalyan & Dutta, Bhaskar, 2006. "Markets with Bilateral Bargaining and Incomplete Information," Economic Research Papers 269732, University of Warwick - Department of Economics.
    20. Sabourian, Hamid, 2004. "Bargaining and markets: complexity and the competitive outcome," Journal of Economic Theory, Elsevier, vol. 116(2), pages 189-228, June.
    21. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
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    Cited by:

    1. Kalyan Chatterjee & Kaustav Das, 2015. "Decentralised bilateral trading, competition for bargaining partners and the “law of one price”," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 949-991, November.

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    More about this item

    Keywords

    Bilateral Bargaining; Incomplete information; Outside options; Coase conjecture.;
    All these keywords.

    JEL classification:

    • 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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