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Dynamic Matching,Two-sided Incomplete Information, and Participation Costs: Existence and Convergence to Perfect Competition

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Satterthwaite, Mark
Shneyerov, Art

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Abstract

Consider a decentralized, dynamic market with an infinite horizon and participation costs in which both buyers and sellers have private information concerning their values for the indivisible traded good. Time is discrete, each period has length δ, and each unit of time continuums of new buyers and sellers consider entry. Traders whose expected utility is negative choose not to enter. Within a period each buyer is matched anonymously with a seller and each seller is matched with zero, one, or more buyers. Every seller runs a first price auction with a reservation price and, if trade occurs, both the seller and winning buyer exit the market with their realized utility. Traders who fail to trade continue in the market to be rematched. We characterize the steady-state equilibria that satisfy a subgame perfection criterion. We show that, as δ converges to zero, equilibrium prices at which trades occur converge to the Walrasian price and the realized allocations converge to the competitive allocation. We also show existence of equilibria for δ sufficiently small.

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Paper provided by Microeconomics.ca Website in its series Micro Theory Working Papers with number shneyerov-04-12-17-02-54-18.

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Date of creation: 17 Dec 2004
Date of revision: 17 Dec 2004
Handle: RePEc:ubc:pmicro:shneyerov-04-12-17-02-54-18

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  7. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-63, September. [Downloadable!] (restricted)
  8. Satterthwaite, Mark A & Williams, Steven R, 1989. "The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large," Review of Economic Studies, Blackwell Publishing, vol. 56(4), pages 477-98, October. [Downloadable!] (restricted)
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  11. Martin W Cripps & Jeroen M Swinkels, 2003. "Efficiency of Large Double Auctions," Levine's Working Paper Archive 666156000000000329, David K. Levine. [Downloadable!]
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  12. Gianni De Fraja & Jozsef Sakovics, 2001. "Walras Retrouve: Decentralized Trading Mechanisms and the Competitive Price," Journal of Political Economy, University of Chicago Press, vol. 109(4), pages 842-863, August. [Downloadable!] (restricted)
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  13. Rubinstein, Ariel & Wolinsky, Asher, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Blackwell Publishing, vol. 57(1), pages 63-78, January. [Downloadable!] (restricted)
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  17. Satterthwaite, Mark & Shneyerov, Artyom, 2003. "Convergence of a Dynamic Matching and Bargaining Market with Two-sided Incomplete Information to Perfect Competition," Micro Theory Working Papers shneyerov-03-12-17-09-36-, Microeconomics.ca Website, revised 17 Dec 2003. [Downloadable!]
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  18. Michael Peters & Sergei Severinov, 2001. "Internet Auctions with Many Traders," Working Papers peters-01-01, University of Toronto, Department of Economics. [Downloadable!]
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  19. Mark A. Satterthwaite & Steven R. Williams, 2002. "The Optimality of a Simple Market Mechanism," Econometrica, Econometric Society, vol. 70(5), pages 1841-1863, September. [Downloadable!] (restricted)
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  1. Ahmed Anwar & József Sákovics, 2007. "A Decentralized Market for a Perishable Good," Contributions to Theoretical Economics, Berkeley Electronic Press, vol. 7(1), pages 1312-1312. [Downloadable!] (restricted)
  2. Alp E. Atakan, 2006. "Competitive Equilibria in Decentralized Matching with Incomplete Information," Discussion Papers 1437, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  3. Stephan Lauermann, 2008. "Price Setting in a Decentralized Market and the Competitive Outcome," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2008_06, Max Planck Institute for Research on Collective Goods. [Downloadable!]
  4. Shneyerov, Art & Wong, Adam Chi Leung, 2007. "The Rate of Convergence to Perfect Competition of a Simple Matching and Bargaining Mechanism," Micro Theory Working Papers shneyerov-07-05-01-03-43-, Microeconomics.ca Website, revised 01 May 2007. [Downloadable!]
  5. Artyom Shneyerov & Adam Chi Leung Won, 2008. "The Rate of Convergence to Perfect Competition of Matching and Bargaining Mechanisms," Discussion Papers 1467, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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