IDEAS home Printed from https://ideas.repec.org/a/red/issued/v6y2003i1p54-79.html
   My bibliography  Save this article

A Discrete-Time Stochastic Model of Job Matching

Author

Listed:
  • Anthony E. Smith

    (University of Pennsylvania)

  • Yves Zenou

    (University of Southampton)

Abstract

In this paper, an explicit micro scenario is developed which yields a well-defined aggregate job matching function. In particular, a stochastic model of job-matching behavior is constructed in which the system steady state is shown to be approximated by an exponential-type matching function, as the population becomes large. This steady-state approximation is first derived for fixed levels of both wages and search intensities, where it is shown (without using a free-entry condition) that there exists a unique equilibrium. It is then shown that if job searchers are allowed to choose their search intensities optimally, this model is again consistent with a unique steady state. Finally, the assumption of a fixed wage is relaxed, and an optimal 'offer wage' is derived for employers (Copyright: Elsevier)

Suggested Citation

  • Anthony E. Smith & Yves Zenou, 2003. "A Discrete-Time Stochastic Model of Job Matching," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 54-79, January.
    • Handle: RePEc:red:issued:v:6:y:2003:i:1:p:54-79
    DOI: 10.1016/S1094-2025(02)00007-8
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1016/S1094-2025(02)00007-8
    File Function: Full text
    Download Restriction: Access to full texts is restricted to ScienceDirect subscribers and ScienceDirect institutional members. See http://www.sciencedirect.com/ for details.
    File URL: https://libkey.io/10.1016/S1094-2025(02)00007-8?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pissarides, C A, 1979. "Job Matchings with State Employment Agencies and Random Search," Economic Journal, Royal Economic Society, vol. 89(356), pages 818-833, December.
    2. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    3. Hamilton, Jonathan & Thisse, Jacques-Francois & Zenou, Yves, 2000. "Wage Competition with Heterogeneous Workers and Firms," Journal of Labor Economics, University of Chicago Press, vol. 18(3), pages 453-472, July.
    4. Hall, Robert E., 1979. "A theory of the natural unemployment rate and the duration of employment," Journal of Monetary Economics, Elsevier, vol. 5(2), pages 153-169, April.
    5. Ricardo Lagos, 2000. "An Alternative Approach to Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 851-873, October.
    6. repec:eee:labchp:v:3:y:1999:i:pb:p:2567-2627 is not listed on IDEAS
    7. Melanie Cao & Shouyong Shi, 2000. "Coordination, matching, and wages," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 33(4), pages 1009-1033, November.
    8. Anthony E. Smith & Yves Zenou, 2003. "A Discrete-Time Stochastic Model of Job Matching," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 54-79, January.
    9. Sattinger, Michael, 1990. "Unemployment, the Market for Interviews, and Wage Employment," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 356-371, April.
    10. Dale T. Mortensen, 1988. "The Persistence and Indeterminacy of Unemployment in Search Equilibrium," Discussion Papers 810, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, April.
    12. Anthony E. Smith & Yves Zenou, 2003. "A Discrete-Time Stochastic Model of Job Matching," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 54-79, January.
    13. 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.
    14. Oliver Jean Blanchard & Peter Diamond, 1989. "The Beveridge Curve," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 20(1), pages 1-76.
    15. 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.
    16. Burda, Michael & Wyplosz, Charles, 1994. "Gross worker and job flows in Europe," European Economic Review, Elsevier, vol. 38(6), pages 1287-1315, June.
    17. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-880, June.
    18. Steven J. Davis & John C. Haltiwanger & Scott Schuh, 1998. "Job Creation and Destruction," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262540932, April.
    19. 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.
    20. Acemoglu, Daron & Shimer, Robert, 1999. "Holdups and Efficiency with Search Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 827-849, November.
    21. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    22. R. E. Hall, 1977. "An Aspect of the Economic Role of Unemployment," International Economic Association Series, in: G. C. Harcourt (ed.), The Microeconomic Foundations of Macroeconomics, chapter 11, pages 354-372, Palgrave Macmillan.
    23. Mortensen, Dale T. & Pissarides, Christopher A., 1999. "New developments in models of search in the labor market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 39, pages 2567-2627, Elsevier.
    24. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-1454, September.
    25. 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.
    26. 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.
    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. Sylvain Barde, 2007. "Stable Partial Agglomeration in a New Economic Geography Model with Urban Frictions," Studies in Economics 0702, School of Economics, University of Kent.
    2. Aviad Tur-Sinai, 2020. "The effect of terror and economic sector in early career years on future career path," Empirical Economics, Springer, vol. 59(5), pages 2153-2184, November.
    3. repec:spo:wpmain:info:hdl:2441/8001 is not listed on IDEAS
    4. repec:hal:spmain:info:hdl:2441/8001 is not listed on IDEAS
    5. Smith, Tony E. & Zenou, Yves, 2003. "Spatial mismatch, search effort, and urban spatial structure," Journal of Urban Economics, Elsevier, vol. 54(1), pages 129-156, July.
    6. Anthony E. Smith & Yves Zenou, 2003. "A Discrete-Time Stochastic Model of Job Matching," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 54-79, January.
    7. Calvo-Armengol, Antoni & Zenou, Yves, 2005. "Job matching, social network and word-of-mouth communication," Journal of Urban Economics, Elsevier, vol. 57(3), pages 500-522, May.
    8. Neugart, Michael, 2006. "Labor market policy evaluation with an agent-based model," Discussion Papers, Research Unit: Labor Market Policy and Employment SP I 2006-113, WZB Berlin Social Science Center.
    9. Zenou, Yves, 2008. "Job search and mobility in developing countries. Theory and policy implications," Journal of Development Economics, Elsevier, vol. 86(2), pages 336-355, June.
    10. repec:spo:wpecon:info:hdl:2441/8001 is not listed on IDEAS
    11. Matteo Richiardi, 2006. "Toward a Non-Equilibrium Unemployment Theory," Computational Economics, Springer;Society for Computational Economics, vol. 27(1), pages 135-160, February.
    12. Giorgio Fagiolo & Giovanni Dosi & Roberto Gabriele, 2005. "Towards an evolutionary interpretation of aggregate labor market regularities," Springer Books, in: Uwe Cantner & Elias Dinopoulos & Robert F. Lanzillotti (ed.), Entrepreneurships, the New Economy and Public Policy, pages 223-252, Springer.
    13. Neugart, Michael, 2008. "Labor market policy evaluation with ACE," Journal of Economic Behavior & Organization, Elsevier, vol. 67(2), pages 418-430, August.
    14. Fransen, Koos & Boussauw, Kobe & Deruyter, Greta & De Maeyer, Philippe, 2019. "The relationship between transport disadvantage and employability: Predicting long-term unemployment based on job seekers’ access to suitable job openings in Flanders, Belgium," Transportation Research Part A: Policy and Practice, Elsevier, vol. 125(C), pages 268-279.
    15. repec:hal:wpspec:info:hdl:2441/8001 is not listed 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. Calvo-Armengol, Antoni & Zenou, Yves, 2005. "Job matching, social network and word-of-mouth communication," Journal of Urban Economics, Elsevier, vol. 57(3), pages 500-522, May.
    2. 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.
    3. 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.
    4. Neugart, Michael, 2006. "Labor market policy evaluation with an agent-based model," Discussion Papers, Research Unit: Labor Market Policy and Employment SP I 2006-113, WZB Berlin Social Science Center.
    5. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    6. Neugart, Michael, 2008. "Labor market policy evaluation with ACE," Journal of Economic Behavior & Organization, Elsevier, vol. 67(2), pages 418-430, August.
    7. Yashiv, Eran, 2007. "Labor search and matching in macroeconomics," European Economic Review, Elsevier, vol. 51(8), pages 1859-1895, November.
    8. Alain Delacroix & Shouyong Shi, 2006. "Directed Search On The Job And The Wage Ladder," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 651-699, May.
    9. 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.
    10. Giorgio Fagiolo & Giovanni Dosi & Roberto Gabriele, 2005. "Towards an evolutionary interpretation of aggregate labor market regularities," Springer Books, in: Uwe Cantner & Elias Dinopoulos & Robert F. Lanzillotti (ed.), Entrepreneurships, the New Economy and Public Policy, pages 223-252, Springer.
    11. Rogerson, Richard & Shimer, Robert, 2011. "Search in Macroeconomic Models of the Labor Market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 7, pages Pages: 61, Elsevier.
    12. Ronald Wolthoff, 2010. "Applications and Interviews: A Structural Analysis of Two-Sided Simultaneous Search," 2010 Meeting Papers 114, Society for Economic Dynamics.
    13. Coles, Melvyn G & Petrongolo, Barbara, 2002. "A Test Between Unemployment Theories Using Matching Data," CEPR Discussion Papers 3241, C.E.P.R. Discussion Papers.
    14. Smith, Tony E. & Zenou, Yves, 2003. "Spatial mismatch, search effort, and urban spatial structure," Journal of Urban Economics, Elsevier, vol. 54(1), pages 129-156, July.
    15. Philipp Kircher, 2009. "Efficiency of Simultaneous Search," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 861-913, October.
    16. Espen R. Moen & Åsa Rosén, 2004. "Does Poaching Distort Training?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1143-1162.
    17. Duranton, Gilles & Puga, Diego, 2004. "Micro-foundations of urban agglomeration economies," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 48, pages 2063-2117, Elsevier.
    18. Jerez, Belén, 2017. "Competitive search equilibrium with multidimensional heterogeneity and two-sided ex-ante investments," Journal of Economic Theory, Elsevier, vol. 172(C), pages 202-219.
    19. Ewa Gałecka-Burdziak, 2012. "Labour market matching – the case of Poland," Bank i Kredyt, Narodowy Bank Polski, vol. 43(3), pages 31-46.
    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

    Keywords

    discrete-time matching function; large population approximation; optimal search intensity; endogeneous wages.;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts
    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers

    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:issued:v:6:y:2003:i:1:p:54-79. 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.