IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v187y2020ics0022053120300351.html
   My bibliography  Save this article

Inefficient sorting under output sharing

Author

Listed:
  • Lam, Wing Tung

Abstract

I study sorting in a frictional market. Asset owners post their terms, then workers direct their search. When the owners switch from prices to shares, the competition between workers is handicapped. The unique equilibrium features inefficient positive assortative matching. The queue lengths are distorted, even though the Hosios efficiency condition holds for every pair of types. For any distribution of types, all workers pair up with better assets. The best workers suffer while the weakest workers gain; the opposite occurs on the asset side. Competition drives the asset owners to post flatter contracts. It leads to constrained efficiency whenever prices are feasible. Otherwise, handicapped competition results in inefficient sorting.

Suggested Citation

  • Lam, Wing Tung, 2020. "Inefficient sorting under output sharing," Journal of Economic Theory, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:jetheo:v:187:y:2020:i:c:s0022053120300351
    DOI: 10.1016/j.jet.2020.105031
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053120300351
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2020.105031?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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. Eeckhout, Jan, 1999. "Bilateral Search and Vertical Heterogeneity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 869-887, November.
    3. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    4. Thomas Lemieux & W. Bentley MacLeod & Daniel Parent, 2009. "Performance Pay and Wage Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 1-49.
    5. Nicolas L. Jacquet & Serene Tan, 2007. "On the Segmentation of Markets," Journal of Political Economy, University of Chicago Press, vol. 115(4), pages 639-664, August.
    6. Michael Kremer, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 551-575.
    7. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, July.
    8. Gretsky, Neil E & Ostroy, Joseph M & Zame, William R, 1992. "The Nonatomic Assignment Model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 103-127, January.
    9. Marko Tervio, 2008. "The Difference That CEOs Make: An Assignment Model Approach," American Economic Review, American Economic Association, vol. 98(3), pages 642-668, June.
    10. Veronica Guerrieri & Robert Shimer & Randall Wright, 2010. "Adverse Selection in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 78(6), pages 1823-1862, November.
    11. Pierre-André Chiappori & Robert McCann & Lars Nesheim, 2010. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(2), pages 317-354, February.
    12. Hansen, Robert G, 1985. "Auctions with Contingent Payments," American Economic Review, American Economic Association, vol. 75(4), pages 862-865, September.
    13. Veronica Guerrieri & Robert Shimer, 2014. "Dynamic Adverse Selection: A Theory of Illiquidity, Fire Sales, and Flight to Quality," American Economic Review, American Economic Association, vol. 104(7), pages 1875-1908, July.
    14. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    15. Chade, Hector, 2006. "Matching with noise and the acceptance curse," Journal of Economic Theory, Elsevier, vol. 129(1), pages 81-113, July.
    16. Patrick Legros & Andrew Newman, 2007. "Beauty is a beast, frog is a prince :assortative matching in a nontransferable world," ULB Institutional Repository 2013/7022, ULB -- Universite Libre de Bruxelles.
    17. Chiappori, Pierre-André & Reny, Philip J., 2016. "Matching to share risk," Theoretical Economics, Econometric Society, vol. 11(1), January.
    18. Serfes, Konstantinos, 2005. "Risk sharing vs. incentives: Contract design under two-sided heterogeneity," Economics Letters, Elsevier, vol. 88(3), pages 343-349, September.
    19. Peter M. DeMarzo & Ilan Kremer & Andrzej Skrzypacz, 2005. "Bidding with Securities: Auctions and Security Design," American Economic Review, American Economic Association, vol. 95(4), pages 936-959, September.
    20. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
    21. Lones Smith, 2006. "The Marriage Model with Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1124-1146, December.
    22. Ettore Damiano & Hao Li & Wing Suen, 2005. "Unravelling of Dynamic Sorting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 1057-1076.
    23. 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.
    24. Ayca Kaya & Galina Vereshchagina, 2014. "Partnerships versus Corporations: Moral Hazard, Sorting, and Ownership Structure," American Economic Review, American Economic Association, vol. 104(1), pages 291-307, January.
    25. Albrecht, James & Navarro, Lucas & Vroman, Susan, 2010. "Efficiency in a search and matching model with endogenous participation," Economics Letters, Elsevier, vol. 106(1), pages 48-50, January.
    26. Shouyong Shi, 2002. "A Directed Search Model of Inequality with Heterogeneous Skills and Skill-Biased Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 467-491.
    27. Schulhofer-Wohl, Sam, 2006. "Negative assortative matching of risk-averse agents with transferable expected utility," Economics Letters, Elsevier, vol. 92(3), pages 383-388, September.
    28. Matthew Rhodes‐Kropf & David T. Robinson, 2008. "The Market for Mergers and the Boundaries of the Firm," Journal of Finance, American Finance Association, vol. 63(3), pages 1169-1211, June.
    29. Peter Diamond, 1998. "Managerial Incentives: On the Near Linearity of Optimal Compensation," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 931-957, October.
    30. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    31. Takeharu Sogo & Dan Bernhardt & Tingjun Liu, 2016. "Endogenous Entry to Security-Bid Auctions," American Economic Review, American Economic Association, vol. 106(11), pages 3577-3589, November.
    32. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    33. Julien, Benoît & Mangin, Sephorah, 2017. "Efficiency of job creation in a search and matching model with labor force participation," Economics Letters, Elsevier, vol. 150(C), pages 149-151.
    34. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    35. Alexander S. Gorbenko & Andrey Malenko, 2011. "Competition among Sellers in Securities Auctions," American Economic Review, American Economic Association, vol. 101(5), pages 1806-1841, August.
    36. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June.
    37. 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.
    38. 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.
    39. Rosen, Sherwin, 1981. "The Economics of Superstars," American Economic Review, American Economic Association, vol. 71(5), pages 845-858, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hector Chade & Jan Eeckhout & Lones Smith, 2017. "Sorting through Search and Matching Models in Economics," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 493-544, June.
    2. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    3. Ashwin Kambhampati & Carlos Segura-Rodriguez, 2020. "The Optimal Assortativity of Teams Inside the Firm," PIER Working Paper Archive 20-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    4. Xu, Yujing & Yang, Huanxing, 2019. "Targeted search with horizontal differentiation in the marriage market," Journal of Economic Behavior & Organization, Elsevier, vol. 164(C), pages 31-62.
    5. Sperisen, Benjamin & Wiseman, Thomas, 2020. "Too good to fire: Non-assortative matching to play a dynamic game," Games and Economic Behavior, Elsevier, vol. 124(C), pages 491-511.
    6. Jerez, Belén, 2014. "Competitive equilibrium with search frictions: A general equilibrium approach," Journal of Economic Theory, Elsevier, vol. 153(C), pages 252-286.
    7. Mangin, Sephorah & Julien, Benoît, 2021. "Efficiency in search and matching models: A generalized Hosios condition," Journal of Economic Theory, Elsevier, vol. 193(C).
    8. Cai, Xiaoming & Gautier, Pieter A. & Wolthoff, Ronald P., 2017. "Search frictions, competing mechanisms and optimal market segmentation," Journal of Economic Theory, Elsevier, vol. 169(C), pages 453-473.
    9. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    10. Gabrovski, Miroslav & Kospentaris, Ioannis, 2021. "Intermediation in over-the-counter markets with price transparency," Journal of Economic Theory, Elsevier, vol. 198(C).
    11. Merlino, Luca Paolo, 2016. "Efficient Sorting In Frictional Labor Markets With Two-Sided Heterogeneity," Macroeconomic Dynamics, Cambridge University Press, vol. 20(1), pages 95-119, January.
    12. Poeschel, Friedrich, 2012. "Assortative matching through signals," IAB-Discussion Paper 201215, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    13. Paulina Restrepo-Echavarria & Antonella Tutino & Anton Cheremukhin, 2013. "A Theory of Targeted Search," 2013 Meeting Papers 664, Society for Economic Dynamics.
    14. Cheremukhin, Anton & Restrepo-Echavarria, Paulina & Tutino, Antonella, 2020. "Targeted search in matching markets," Journal of Economic Theory, Elsevier, vol. 185(C).
    15. Richard Rogerson & Robert Shimer & Randall Wright, 2004. "Search-Theoretic Models of the Labor Market-A Survey," NBER Working Papers 10655, National Bureau of Economic Research, Inc.
    16. Davoodalhosseini, Seyed Mohammadreza, 2019. "Constrained efficiency with adverse selection and directed search," Journal of Economic Theory, Elsevier, vol. 183(C), pages 568-593.
    17. repec:cte:werepe:23566 is not listed on IDEAS
    18. Nicolas Bonneton & Christopher Sandmann, 2023. "Non-Stationary Search and Assortative Matching," CRC TR 224 Discussion Paper Series crctr224_2023_465, University of Bonn and University of Mannheim, Germany.
    19. Eeckhout, Jan & Kircher, Philipp, 2010. "Sorting versus screening: Search frictions and competing mechanisms," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1354-1385, July.
    20. Shouyong Shi, 2005. "Frictional Assignment, Part II: Infinite Horizon and Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(1), pages 106-137, January.
    21. Schetter, Ulrich & Tejada, Oriol, 2018. "Globalization and the Concentration of Talent," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181562, Verein für Socialpolitik / German Economic Association.

    More about this item

    Keywords

    Assortative matching; Sorting; Directed search; Hosios condition; Linkage principle; Linear contracts;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:187:y:2020:i:c:s0022053120300351. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.