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Competitive Equilibria in Decentralized Matching with Incomplete Information

  • Alp E. Atakan

This paper shows that all perfect Bayesian equilibria of a decentralized dynamic matching market with two-sided incomplete information of independent private values variety converge to competitive equilibria. Each buyer wants to purchase a bundle of heterogeneous, indivisible goods and each seller owns one unit of a heterogeneous indivisible good (as in Kelso and Crawford (1982) or Gul and Stacchetti (1999)). Buyer preferences and endowments as well as seller costs are private information. Agents engage in costly search and meet randomly. The terms of trade are determined through bilateral bargaining between buyers and sellers. The paper considers a market in steady state. It is shown that as frictions, i.e., discounting and fixed costs of search become small, all equilibria of the market game converge to perfectly competitive equilibria.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1437.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1437.

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Date of creation: Nov 2006
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Handle: RePEc:nwu:cmsems:1437
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  1. Serrano, R. & Yosha, O., 1995. "Decentralized Information and the Walrasian Outcome : A Pairwise Meetings Market with Private Values," Papers 26-95, Tel Aviv.
  2. Wolinsky, Asher, 1990. "Information Revelation in a Market with Pairwise Meetings," Econometrica, Econometric Society, vol. 58(1), pages 1-23, January.
  3. Douglas Gale, 2010. "Limit theorems for markets with sequential bargaining," Levine's Working Paper Archive 621, David K. Levine.
  4. Max Planck Institute & Stephan Lauermann, 2007. "Dynamic Matching and Bargaining Games: A General Approach," 2007 Meeting Papers 269, Society for Economic Dynamics.
  5. John G. Riley & Richard Zeckhauser, 1980. "Optimal Selling Strategies:," UCLA Economics Working Papers 180, UCLA Department of Economics.
  6. Satterthwaite, Mark & Shneyerov, Art, 2004. "Dynamic Matching,Two-sided Incomplete Information, and Participation Costs: Existence and Convergence to Perfect Competition," Microeconomics.ca working papers shneyerov-04-12-17-02-54-, Vancouver School of Economics, revised 17 Dec 2004.
  7. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
  8. Moreno, Diego & Wooders, John, 2002. "Prices, Delay, and the Dynamics of Trade," Journal of Economic Theory, Elsevier, vol. 104(2), pages 304-339, June.
  9. Riley, John & Zeckhauser, Richard, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 267-89, May.
  10. Yilankaya, Okan, 1999. "A Note on the Seller's Optimal Mechanism in Bilateral Trade with Two-Sided Incomplete Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 267-271, July.
  11. Roger B. Myerson, 1981. "Mechanism Design by an Informed Principal," Discussion Papers 481, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. Gianni De Fraja & Jozsef Sakovics, 2004. "Walras Retrouve: Decentralized Trading Mechanisms and the Competitive Price," ESE Discussion Papers 36, Edinburgh School of Economics, University of Edinburgh.
  13. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
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