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Unraveling of Dynamic Sorting

Author

Listed:
  • Ettore Damiano
  • Hao Li

Abstract

We consider a two-sided, finite-horizon model of search and matching with heterogeneous types and complementarity between types. The quality of the pool of potential matches deteriorates as agents who have found mutually agreeable matches exit the market. With automatic participation of all agents in each round, the market performs a sorting function in that attractive types of agents have multiple chances to meet and match with their peers. However, the sorting function of the market is lost if agents incur an arbitrarily small cost in order to participate in each round. The market unravels as almost all agents rush to participate in the first round and match and exit with anyone they meet.

Suggested Citation

  • Ettore Damiano & Hao Li, 2004. "Unraveling of Dynamic Sorting," 2004 Meeting Papers 174, Society for Economic Dynamics.
    • Handle: RePEc:red:sed004:174
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    References listed on IDEAS

    as
    1. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    2. Muriel Niederle & Alvin E. Roth, 2003. "Unraveling Reduces Mobility in a Labor Market: Gastroenterology with and without a Centralized Match," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1342-1352, December.
    3. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    4. Roth, Alvin E & Xing, Xiaolin, 1997. "Turnaround Time and Bottlenecks in Market Clearing: Decentralized Matching in the Market for Clinical Psychologists," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 284-329, April.
    5. Matthew O. Jackson & Thomas R. Palfrey, 1998. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Econometrica, Econometric Society, vol. 66(6), pages 1353-1388, November.
    6. Muriel Niederle & Alvin E. Roth, 2001. "Unraveling Reduces the Scope of an Entry Level Labor Market: Gastroenterology With and Without a Centralized Match," NBER Working Papers 8616, National Bureau of Economic Research, Inc.
    7. Ricardo Lagos, 2000. "An Alternative Approach to Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 851-873, October.
    8. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    9. Ken Burdett & Melvyn G. Coles, 1997. "Marriage and Class," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 141-168.
    10. Shimer Robert & Smith Lones, 2001. "Matching, Search, and Heterogeneity," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-18, April.
    11. Lones Smith, 1995. "Cross-Sectional Dynamics in a Two-Sided Matching Model," Working papers 95-14, Massachusetts Institute of Technology (MIT), Department of Economics.
    12. Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
    13. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-979, December.
    14. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    15. Li, Hao & Rosen, Sherwin, 1998. "Unraveling in Matching Markets," American Economic Review, American Economic Association, vol. 88(3), pages 371-387, June.
    16. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(1), pages 163-179.
    17. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
    18. Wing Suen, 2000. "A Competitive Theory of Equilibrium and Disequilibrium Unravelling in Two-Sided Matching," RAND Journal of Economics, The RAND Corporation, vol. 31(1), pages 101-120, Spring.
    19. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 279-298.
    20. Hao Li & Wing Suen, 2000. "Risk Sharing, Sorting, and Early Contracting," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 1058-1087, October.
    21. Hao Li & Wing Suen, 2004. "Self-Fulfilling Early-Contracting Rush," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 301-324, February.
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    More about this item

    Keywords

    Random matching; Search externality; Endogenous participation; complementarity;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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