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Frictions Lead to Sorting: a Partnership Model with On-the-Match Search

Author

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  • Cristian Bartolucci
  • Ignacio Monzon

Abstract

We present a partnership model where heterogeneous agents bargain over the gains from trade and search on the match. Frictions allow agents to extract higher rents from more productive partners, generating an endogenous preference for high types. More productive agents upgrade their partners faster, therefore the equilibrium match distribution features positive assortative matching. Frictions are commonly understood to hamper sorting. Instead, we show how frictions generate positive sorting even with a submodular production function. Our results challenge the interpretation of positive assortative matching as evidence of complementarity.

Suggested Citation

  • Cristian Bartolucci & Ignacio Monzon, 2014. "Frictions Lead to Sorting: a Partnership Model with On-the-Match Search," Carlo Alberto Notebooks 385, Collegio Carlo Alberto.
    • Handle: RePEc:cca:wpaper:385
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    References listed on IDEAS

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    1. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting and Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 63-87, January.
    2. Christopher A. Pissarides, 1994. "Search Unemployment with On-the-job Search," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 457-475.
    3. Nobuhiro Kiyotaki & Ricardo Lagos, 2007. "A Model of Job and Worker Flows," Journal of Political Economy, University of Chicago Press, vol. 115(5), pages 770-819, October.
    4. Lin Zhou, 1997. "The Nash Bargaining Theory with Non-Convex Problems," Econometrica, Econometric Society, vol. 65(3), pages 681-686, May.
    5. Lentz, Rasmus, 2010. "Sorting by search intensity," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1436-1452, July.
    6. Cristian Bartolucci & Francesco Devicienti, 2012. "Better Workers Move to Better Firms: A Simple Test to Identify Sorting," Carlo Alberto Notebooks 259, Collegio Carlo Alberto.
    7. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    8. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    9. Cristian Bartolucci, 2013. "Gender Wage Gaps Reconsidered: A Structural Approach Using Matched Employer-Employee Data," Journal of Human Resources, University of Wisconsin Press, vol. 48(4), pages 998-1034.
    10. repec:hal:wpspec:info:hdl:2441/6ggbvnr6munghes9od0s108ro is not listed on IDEAS
    11. Albaek, Karsten & Sorensen, Bent E, 1998. "Worker Flows and Job Flows in Danish Manufacturing, 1980-91," Economic Journal, Royal Economic Society, vol. 108(451), pages 1750-1771, November.
    12. Shimer, Robert, 2006. "On-the-job search and strategic bargaining," European Economic Review, Elsevier, vol. 50(4), pages 811-830, May.
    13. Betsey Stevenson & Justin Wolfers, 2007. "Marriage and Divorce: Changes and their Driving Forces," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 27-52, Spring.
    14. Burgess, Simon & Lane, Julia & Stevens, David, 2000. "Job Flows, Worker Flows, and Churning," Journal of Labor Economics, University of Chicago Press, vol. 18(3), pages 473-502, July.
    15. Alp E. Atakan, 2006. "Assortative Matching with Explicit Search Costs," Econometrica, Econometric Society, vol. 74(3), pages 667-680, May.
    16. Rafael Lopes de Melo, 2018. "Firm Wage Differentials and Labor Market Sorting: Reconciling Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 313-346.
    17. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    18. Lones Smith, 2006. "The Marriage Model with Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1124-1146, December.
    19. Kevin J. Murphy & Jan Zabojnik, 2006. "Managerial Capital And The Market For Ceos," Working Paper 1110, Economics Department, Queen's University.
    20. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    21. repec:hal:spmain:info:hdl:2441/6ggbvnr6munghes9od0s108ro is not listed on IDEAS
    22. Geert Ridder & Gerard J. van den Berg, 2003. "Measuring Labor Market Frictions: A Cross-Country Comparison," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 224-244, March.
    23. Pieter A. Gautier & Coen N. Teulings & Aico Van Vuuren, 2010. "On-the-Job Search, Mismatch and Efficiency ," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 245-272.
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    Cited by:

    1. Cristian Bartolucci & Francesco Devicienti & Ignacio Monzón, 2018. "Identifying Sorting in Practice," American Economic Journal: Applied Economics, American Economic Association, vol. 10(4), pages 408-438, October.
    2. Devereux, Kevin, 2018. "Identifying the value of teamwork: Application to professional tennis," CLEF Working Paper Series 14, Canadian Labour Economics Forum (CLEF), University of Waterloo.

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    More about this item

    Keywords

    Assortative matching; Search frictions; On-the-match search; Bargaining;
    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
    • J63 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Turnover; Vacancies; Layoffs
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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