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Dynamic Matching and Bargaining Games: A General Approach

  • Max Planck Institute

    (Bonn)

  • Stephan Lauermann

Dynamic matching and bargaining games provide models of decentralized markets with trading frictions. A central objective of the literature is to investigate how equilibrium outcomes depend on the size of the frictions. In particular, will the outcome become efficient when frictions become small? Existing specifications of such games give different answers. To investigate what causes these differences, we identify four simple conditions on trading outcomes. We show that for every game which satisfies these conditions, the equilibrium outcome must become efficient when frictions are small. We demonstrate that our conditions hold under several specifications in the literature, suggesting a common cause behind their convergence results. These specifications include, for example, the recent contribution by Satterthwaite and Shneyerov (Econometrica, 2007). For those specifications in the literature for which outcomes do not become efficient, we show exactly which of our conditions do not hold. These specifications include, for example, Serrano (2002, JME) and DeFraja and Sakovics (2001, JPE).

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Paper provided by Society for Economic Dynamics in its series 2007 Meeting Papers with number 269.

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Date of creation: 2007
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Handle: RePEc:red:sed007:269
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Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA

Web page: http://www.EconomicDynamics.org/
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  1. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 63-78.
  2. 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.
  3. Nir Dagan & Roberto Serrano & Oscar Volij, 1996. "Bargaining, Coalitions, and Competition," Economic theory and game theory 003, Oscar Volij, revised Jul 1998.
  4. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
  5. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, July.
  6. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September.
  7. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
  8. Stephan Lauermann, 2008. "When Less Information is Good for Efficiency: Private Information in Bilateral Trade and in Markets," 2008 Meeting Papers 419, Society for Economic Dynamics.
  9. 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.
  10. Wolinsky, Asher, 1990. "Information Revelation in a Market with Pairwise Meetings," Econometrica, Econometric Society, vol. 58(1), pages 1-23, January.
  11. Shneyerov, Art & Wong, Adam Chi Leung, 2007. "Bilateral Matching and Bargaining with Private Information," Microeconomics.ca working papers shneyerov-07-05-01-03-38-, Vancouver School of Economics, revised 01 May 2007.
  12. Serrano, Roberto, 2002. "Decentralized information and the Walrasian outcome: a pairwise meetings market with private values," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 65-89, September.
  13. Allan M. Feldman, 1973. "Bilateral Trading Processes, Pairwise Optimally, and Pareto Optimality," Review of Economic Studies, Oxford University Press, vol. 40(4), pages 463-473.
  14. Takashi Kunimoto & Roberto Serrano, 2002. "Bargaining and Competition Revisited," Working Papers 2002-14, Brown University, Department of Economics.
  15. Lauermann, Stephan, 2012. "Asymmetric information in bilateral trade and in markets: An inversion result," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1969-1997.
  16. Satterthwaite, Mark & Shneyerov, Artyom, 2003. "Convergence of a Dynamic Matching and Bargaining Market with Two-sided Incomplete Information to Perfect Competition," Microeconomics.ca working papers shneyerov-03-12-17-09-36-, Vancouver School of Economics, revised 17 Dec 2003.
  17. Arial Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Levine's Working Paper Archive 622, David K. Levine.
  18. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
  19. Gianni De Fraja & Jozsef Sakovics, 1999. "Walras Retrouve: Decentralized Trading Mechanisms and the Competitive Price," ESE Discussion Papers 36, Edinburgh School of Economics, University of Edinburgh.
  20. 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.
  21. 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.
  22. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  23. Alp E. Atakan, 2010. "Efficient Dynamic Matching with Costly Search," Koç University-TUSIAD Economic Research Forum Working Papers 1030, Koc University-TUSIAD Economic Research Forum.
  24. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
  25. John Wooders & Diego Moreno, 2001. "Prices, Delay, and the Dynamics of Trade," Economics Bulletin, AccessEcon, vol. 28(7), pages A0.
  26. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  27. Gale,Douglas, 2000. "Strategic Foundations of General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521644105, 1.
  28. Thomas Tröger & Georg Nöldeke, 2009. "Matching Heterogeneous Agents with a Linear Search Technology," Bonn Econ Discussion Papers bgse1_2009, University of Bonn, Germany.
  29. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  30. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 63-78.
  31. Douglas Gale & Hamid Sabourian, 2005. "Complexity and Competition," Econometrica, Econometric Society, vol. 73(3), pages 739-769, 05.
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