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Unraveling of Dynamic Sorting

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  • 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

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    Cited by:

    1. Ettore Damiano & Li Hao, 2008. "Competing Matchmaking," Journal of the European Economic Association, MIT Press, vol. 6(4), pages 789-818, June.
    2. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    3. E. M. Parilina & A. Tampieri, 2013. "Marriage Formation with Assortative Meeting as a Two-Sided Optimal Stopping Problem," Working Papers wp886, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. Echenique, Federico & Pereyra, Juan Sebastián, 2016. "Strategic complementarities and unraveling in matching markets," Theoretical Economics, Econometric Society, vol. 11(1), January.
    5. Frederick Chen, 2003. "Unraveling in a dynamic matching market with Nash bargaining," Economics Bulletin, AccessEcon, vol. 3(17), pages 1-6.
    6. De Fraja, Gianni & Sákovics, József, 2012. "Exclusive nightclubs and lonely hearts columns: Non-monotone participation in optional intermediation," Journal of Economic Behavior & Organization, Elsevier, vol. 84(2), pages 618-632.
    7. Alvin E. Roth, 2009. "What Have We Learned from Market Design?," Innovation Policy and the Economy, University of Chicago Press, vol. 9(1), pages 79-112.
    8. Dargnies, Marie-Pierre & Hakimov, Rustamdjan & Kübler, Dorothea, 2016. "Self-confidence and unraveling in matching markets," Discussion Papers, Research Unit: Market Behavior SP II 2016-210, WZB Berlin Social Science Center.
    9. Josephson, Jens & Shapiro, Joel, 2008. "Interviews and Adverse Selection," CEPR Discussion Papers 6837, C.E.P.R. Discussion Papers.
    10. Dargnies, Marie-Pierre & Hakimov, Rustamdjan & Kübler, Dorothea, 2019. "Self-Confidence and Unraveling in Matching Markets," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, pages 5603-5618.
    11. Halaburda, Hanna, 2010. "Unravelling in two-sided matching markets and similarity of preferences," Games and Economic Behavior, Elsevier, vol. 69(2), pages 365-393, July.
    12. Olivier Bos & Martin Ranger, 2018. "Risk and Unraveling in Labor Markets," Annals of Economics and Statistics, GENES, issue 129, pages 127-144.
    13. Wu, Mingqin & Chen, Bin, 2016. "Assignment of provincial officials based on economic performance: Evidence from China," China Economic Review, Elsevier, vol. 38(C), pages 60-75.
    14. Fainmesser, Itay P., 2013. "Social networks and unraveling in labor markets," Journal of Economic Theory, Elsevier, vol. 148(1), pages 64-103.
    15. Ambuehl, Sandro & Groves, Vivienne, 2020. "Unraveling over time," Games and Economic Behavior, Elsevier, vol. 121(C), pages 252-264.
    16. Alvin E. Roth, 2012. "Marketplace Institutions Related to the Timing of Transactions: Reply to Priest," Journal of Labor Economics, University of Chicago Press, vol. 30(2), pages 479-494.
    17. Okudaira, Hiroko, 2020. "Regulating the timing of job search: evidence from the labor market for new college graduates," Labour Economics, Elsevier, vol. 67(C).
    18. Sjaak Hurkens & Nir Vulkan, 2015. "Dynamic matching and bargaining with heterogeneous deadlines," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 599-629, August.
    19. Jonathan M.V. Davis, 2017. "The Short and Long Run Impacts of Centralized Clearinghouses: Evidence from Matching Teach For America Teachers to Schools," 2017 Papers pda791, Job Market Papers.
    20. Ettore Damiano & Hao Li, 2007. "Price discrimination and efficient matching," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 243-263, February.
    21. Muriel Niederle & Alvin E. Roth & M. Utku Ünver, 2013. "Unraveling Results from Comparable Demand and Supply: An Experimental Investigation," Games, MDPI, Open Access Journal, vol. 4(2), pages 1-40, June.
    22. Aloysius Siow, 2015. "Testing Becker's Theory of Positive Assortative Matching," Journal of Labor Economics, University of Chicago Press, vol. 33(2), pages 409-441.
    23. Lam, Wing Tung, 2020. "Inefficient sorting under output sharing," Journal of Economic Theory, Elsevier, vol. 187(C).
    24. Burhan, Nik Ahmad Sufian & Sidek, Abdul Halim & Kurniawan, Yohan & Mohamad, Mohd Rosli, 2014. "Has Globalization Triggered Collective Impact of National Intelligence on Economic Growth?," MPRA Paper 77316, University Library of Munich, Germany.

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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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