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Bilateral Matching and Bargaining with Private Information

  • Adam Wong
  • Artyom Shneyerov

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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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. 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.
  2. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, June.
  3. Max Planck Institute & Stephan Lauermann, 2007. "Dynamic Matching and Bargaining Games: A General Approach," 2007 Meeting Papers 269, Society for Economic Dynamics.
  4. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  5. 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.
  6. Moreno, Diego & Wooders, John, 2002. "Prices, Delay, and the Dynamics of Trade," Journal of Economic Theory, Elsevier, vol. 104(2), pages 304-339, June.
  7. 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.
  8. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  9. Serrano, R. & Yosha, O., 1995. "Decentralized Information and the Walrasian Outcome : A Pairwise Meetings Market with Private Values," Papers 26-95, Tel Aviv.
  10. 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.
  11. 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.
  12. 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.
  13. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September.
  19. Wolinsky, Asher, 1988. "Dynamic Markets with Competitive Bidding," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 71-84, January.
  20. Inderst, Roman, 2001. "Screening in a Matching Market," Review of Economic Studies, Wiley Blackwell, vol. 68(4), pages 849-68, October.
  21. 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.
  22. 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.
  23. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
  24. 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.
  25. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
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