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Bilateral Matching and Bargaining with Private Information

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  • Adam Wong
  • Artyom Shneyerov

Abstract

We study a steady state of the market with inflowing cohorts of buyers and sellers. The traders are randomly matched pairwise driven by a Pissarides-style matching function. Two bargaining protocols are considered: random offering and the k-double auction. There are frictions due to time discounting and costly participation. We derive a necessary and sufficient condition for existence of equilibrium with trade. Two types of equilibria are shown to exist: those in which each meeting results in a trade, and those in which some meetings do not. If the random-offering protocol is used, all equilibria converge at the linear rate to the Walrasian outcome as the frictions vanish. Under the k-double auction protocol, however, there also non-convergent equilibria.

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2007 Meeting Papers with number 1032.

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Date of creation: 2007
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Handle: RePEc:red:sed007:1032

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  1. 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.
  2. Moreno, Diego & Wooders, John, 2002. "Prices, Delay, and the Dynamics of Trade," Journal of Economic Theory, Elsevier, vol. 104(2), pages 304-339, June.
  3. Rubinstein, Ariel & Wolinsky, Asher, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 63-78, January.
  4. 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.
  5. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877.
  6. Stephan Lauermann, 2013. "Dynamic Matching and Bargaining Games: A General Approach," American Economic Review, American Economic Association, vol. 103(2), pages 663-89, April.
  7. Mark Satterthwaite & Artyom Shneyerov, 2007. "Dynamic Matching, Two-Sided Incomplete Information, and Participation Costs: Existence and Convergence to Perfect Competition," Econometrica, Econometric Society, vol. 75(1), pages 155-200, 01.
  8. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
  9. Inderst, Roman, 2001. "Screening in a Matching Market," Review of Economic Studies, Wiley Blackwell, vol. 68(4), pages 849-68, October.
  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. 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.
  12. Satterthwaite, Mark & Shneyerov, Artyom, 2008. "Convergence to perfect competition of a dynamic matching and bargaining market with two-sided incomplete information and exogenous exit rate," Games and Economic Behavior, Elsevier, vol. 63(2), pages 435-467, July.
  13. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  14. Alp Atakan, 2007. "Competitive Equilibria in Decentralized Matching with Incomplete Information," 2007 Meeting Papers 213, Society for Economic Dynamics.
  15. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  16. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 279-98, April.
  17. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September.
  18. Tymon Tatur, 2005. "On the Trade off Between Deficit and Inefficiency and the Double Auction with a Fixed Transaction Fee," Econometrica, Econometric Society, vol. 73(2), pages 517-570, 03.
  19. 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.
  20. 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.
  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. Douglas Gale, 2010. "Limit theorems for markets with sequential bargaining," Levine's Working Paper Archive 621, David K. Levine.
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Cited by:
  1. Arnold Polanski & Fernando Vega-Redondo, 2013. "Markets, Bargaining, and Networks with Heterogeneous Agents," University of East Anglia Applied and Financial Economics Working Paper Series 038, School of Economics, University of East Anglia, Norwich, UK..
  2. 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.
  3. Niedermayer, Andras & Shneyerov, Artyom, 2013. "For-Profit Search Platforms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 436, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  4. 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.
  5. Dipjyoti Majumdar & Artyom Shneyerov & Huan Xie, 2010. "How Optimism Leads to Price Discovery and Efficiency in a Dynamic Matching Market," Working Papers 10004, Concordia University, Department of Economics.
  6. Artyom Shneyerov & Andras Niedermayer, 2011. "Search Brokers," 2011 Meeting Papers 89, Society for Economic Dynamics.
  7. Shneyerov, Art & Wong, Adam Chi Leung, 2007. "The Rate of Convergence to Perfect Competition of a Simple Matching and Bargaining Mechanism," Microeconomics.ca working papers shneyerov-07-05-01-03-43-, Vancouver School of Economics, revised 01 May 2007.
  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. Shneyerov, Artyom & Wong, Adam Chi Leung, 2011. "The role of private information in dynamic matching and bargaining: Can it be good for efficiency?," Economics Letters, Elsevier, vol. 112(1), pages 128-131, July.

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