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Convergence of a Dynamic Matching and Bargaining Market with Two-sided Incomplete Information to Perfect Competition

  • Mark Satterthwaite
  • Artyom Shneyerov

Consider a decentralized, dynamic market with an infinite horizon in which both buyers and sellers have private information concerning their values for the indivisible traded good. Time is discrete, each period has length ?, and each unit of time a large number of new buyers and sellers enter the market to trade. Within a period each buyer is matched 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 either continue in the market to be rematched or become discouraged with probability ?? (? is the discouragement rate) and exit with zero utility. We characterize the steady-state, perfect Bayesian equilibria as ? becomes small and the market–in effect– becomes large. We show that, as ? converges to zero, equilibrium prices at which trades occur converge to the Walrasian price and the realized allocations converge to the competitive allocation.

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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 1384.

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Date of creation: Dec 2003
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Handle: RePEc:nwu:cmsems:1384
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  1. Peters,M. & Severinov,S., 2001. "Internet auctions with many traders," Working papers 11, Wisconsin Madison - Social Systems.
  2. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  3. 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, Wiley Blackwell, vol. 56(4), pages 477-98, October.
  4. 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.
  5. Kultti, K.K., 1997. "A Model of Random Matching and Price Formation," Discussion Paper 1997-32, Tilburg University, Center for Economic Research.
  6. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
  7. Fudenberg, Drew & Mobius, Markus & Szeidl, Adam, 2007. "Existence of Equilibrium in Large Double Auctions," Scholarly Articles 3043420, Harvard University Department of Economics.
  8. Coles, Melvyn G & Muthoo, Abhinay, 1994. "Strategic Bargaining and Competitive Bidding in a Dynamic Market Equilibrium," CEPR Discussion Papers 938, C.E.P.R. Discussion Papers.
  9. Wolinsky, Asher, 1988. "Dynamic Markets with Competitive Bidding," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 71-84, January.
  10. 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.
  11. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  12. Arial Rubinstein & Asher Wolinsky, 1985. "Equilibrium in a Market with Sequential Bargaining," Levine's Working Paper Archive 623, David K. Levine.
  13. John Rust & George Hall, 2003. "Middlemen versus Market Makers: A Theory of Competitive Exchange," Journal of Political Economy, University of Chicago Press, vol. 111(2), pages 353-403, April.
  14. Daniel F. Spulber, 1996. "Market Microstructure and Intermediation," Journal of Economic Perspectives, American Economic Association, vol. 10(3), pages 135-152, Summer.
  15. Dale T. Mortensen, 1982. "The Matching Process as a Noncooperative Bargaining Game," NBER Chapters, in: The Economics of Information and Uncertainty, pages 233-258 National Bureau of Economic Research, Inc.
  16. Douglas Gale, 2010. "Limit theorems for markets with sequential bargaining," Levine's Working Paper Archive 621, David K. Levine.
  17. Roberto Serrano, 2000. "Decentralized Information and the Walrasian Outcome:A Pairwise Meetings Market with Private Values," Working Papers 2000-13, Brown University, Department of Economics.
  18. Mark A. Satterthwaite & Steven R. Williams, 2002. "The Optimality of a Simple Market Mechanism," Econometrica, Econometric Society, vol. 70(5), pages 1841-1863, September.
  19. Mark A. Satterthwaite, 2001. "Strategy-proofness and markets," Social Choice and Welfare, Springer, vol. 18(1), pages 37-58.
  20. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  21. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  22. Arial Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Levine's Working Paper Archive 622, David K. Levine.
  23. repec:cup:cbooks:9780521643306 is not listed on IDEAS
  24. repec:cup:cbooks:9780521736602 is not listed on IDEAS
  25. Dale T. Mortensen & Randall Wright, 2002. "Competitive Pricing and Efficiency in Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 1-20, February.
  26. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  27. Sergei Severinov & Michael Peters, 2004. "Internet Trading Mechanisms And Rational Expectations," Econometric Society 2004 North American Winter Meetings 551, Econometric Society.
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