IDEAS home Printed from https://ideas.repec.org/p/red/sed012/500.html
   My bibliography  Save this paper

A Unified Production and Matching Function: Implications for Factor Shares

Author

Listed:
  • Sephorah Mangin

    (Becker-Friedman Institute, University of Chicago)

Abstract

This paper develops microfoundations for a unified aggregate production function. Labor market frictions are naturally built into the aggregate production function because matching and production are two aspects of a single process. Entrepreneurs with heterogeneous productivity levels hire capital and compete for workers. If no entrepreneurs approach a given worker he is unemployed, otherwise the entrepreneur with the highest productivity hires the worker. The model provides new insights into the behavior of factor shares. If the entrepreneurs' productivity distribution is Pareto, the aggregate production function is Cobb-Douglas only in the limit as frictional unemployment disappears. In this limiting case, factors are paid their marginal product and factor shares are constant. Outside this limit, factor shares are not generally constant, enabling us to examine their behavior. A key prediction of the model is that labor's share is counter-cyclical provided that workers' outside option is sufficiently high.

Suggested Citation

  • Sephorah Mangin, 2012. "A Unified Production and Matching Function: Implications for Factor Shares," 2012 Meeting Papers 500, Society for Economic Dynamics.
  • Handle: RePEc:red:sed012:500
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2012/paper_500.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bentolila Samuel & Saint-Paul Gilles, 2003. "Explaining Movements in the Labor Share," The B.E. Journal of Macroeconomics, De Gruyter, vol. 3(1), pages 1-33, October.
    2. Mortensen, Dale & Pissarides, Christopher, 2011. "Job Creation and Job Destruction in the Theory of Unemployment," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 1-19.
    3. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    4. Antràs Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-36, April.
    5. James Albrecht & Pieter A. Gautier & Susan Vroman, 2006. "Equilibrium Directed Search with Multiple Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 869-891.
    6. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    7. Olivier Jean Blanchard & Peter Diamond, 1994. "Ranking, Unemployment Duration, and Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 417-434.
    8. Ricardo Lagos, 2006. "A Model of TFP," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 983-1007.
    9. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    10. Gomme, Paul & Greenwood, Jeremy, 1995. "On the cyclical allocation of risk," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 91-124.
    11. H. S. Houthakker, 1955. "The Pareto Distribution and the Cobb-Douglas Production Function in Activity Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(1), pages 27-31.
    12. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    13. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    14. Oliver J. Blanchard, 1997. "The Medium Run," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 28(2), pages 89-158.
    15. Caballero, Ricardo J. & Hammour, Mohamad L., 1998. "Jobless growth: appropriability, factor substitution, and unemployment," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 48(1), pages 51-94, June.
    16. Benoit Julien & John Kennes & Ian King, 2000. "Bidding for Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 619-649, October.
    17. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    18. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    19. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    20. Francesco Caselli & Wilbur John Coleman II, 2006. "The World Technology Frontier," American Economic Review, American Economic Association, vol. 96(3), pages 499-522, June.
    21. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    22. 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.
    23. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June.
    24. 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.
    25. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 465-491.
    26. 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.
    27. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    28. Ríos-Rull, José-Víctor & Santaeulàlia-Llopis, Raül, 2010. "Redistributive shocks and productivity shocks," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 931-948, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ian King & Frank Stähler, 2014. "International trade and directed search unemployment in general equilibrium," Canadian Journal of Economics, Canadian Economics Association, vol. 47(2), pages 580-604, May.

    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. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    2. Sephorah Mangin, 2014. "A Theory of Factor Shares," Monash Economics Working Papers 19-14, Monash University, Department of Economics.
    3. 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.
    4. Lester, Benjamin & Visschers, Ludo & Wolthoff, Ronald, 2015. "Meeting technologies and optimal trading mechanisms in competitive search markets," Journal of Economic Theory, Elsevier, vol. 155(C), pages 1-15.
    5. 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.
    6. Mangin, Sephorah & Julien, Benoît, 2021. "Efficiency in search and matching models: A generalized Hosios condition," Journal of Economic Theory, Elsevier, vol. 193(C).
    7. Michael Knoblach & Fabian Stöckl, 2020. "What Determines The Elasticity Of Substitution Between Capital And Labor? A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 847-875, September.
    8. Philipp Kircher, 2009. "Efficiency of Simultaneous Search," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 861-913, October.
    9. Manolis Galenianos & Philipp Kircher, 2012. "On The Game‐Theoretic Foundations Of Competitive Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(1), pages 1-21, February.
    10. Kennes, John & le Maire, Daniel & Roelsgaard, Sebastian T., 2020. "Equivalence of canonical matching models," Games and Economic Behavior, Elsevier, vol. 124(C), pages 169-182.
    11. Kircher, Philipp & Wright, Randall & Julien, Benoit & Guerrieri, Veronica, 2017. "Directed Search: A Guided Tour," CEPR Discussion Papers 12315, C.E.P.R. Discussion Papers.
    12. 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.
    13. Geromichalos, Athanasios, 2012. "Directed search and optimal production," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2303-2331.
    14. Mangin, Sephorah & Sedláček, Petr, 2018. "Unemployment and the labor share," Journal of Monetary Economics, Elsevier, vol. 94(C), pages 41-59.
    15. Lester, Benjamin, 2010. "Directed search with multi-vacancy firms," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2108-2132, November.
    16. Auster, Sarah & Gottardi, Piero, 2019. "Competing mechanisms in markets for lemons," Theoretical Economics, Econometric Society, vol. 14(3), July.
    17. Suren Basov & John Ian King & Lawrence Uren, 2010. "The Employed, the Unemployed, and the Unemployable: Directed Search with Worker Heterogeneity," Working Papers 2010.03, School of Economics, La Trobe University.
    18. Guimarães, Luís & Mazeda Gil, Pedro, 2022. "Explaining the Labor Share: Automation Vs Labor Market Institutions," Labour Economics, Elsevier, vol. 75(C).
    19. Pieter A. Gautier & Christian L. Holzner, 2011. "Simultaneous Search and Network Efficiency," Tinbergen Institute Discussion Papers 11-092/3, Tinbergen Institute.
    20. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:red:sed012:500. 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.html .

    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.