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A Discrete-Time Stochastic Model of Job Matching

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  • Smith, Tony E
  • Zenou, Yves

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 behaviour 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, then 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.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3044.

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Date of creation: Nov 2001
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Handle: RePEc:cpr:ceprdp:3044
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Keywords: large population approximation; matching function; optimal search intensity;

Other versions of this item:

Find related papers by 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

References listed on IDEAS
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  1. Daron Acemoglu & Robert Shimer, 1998. "Efficient Unemployment Insurance," NBER Working Papers 6686, National Bureau of Economic Research, Inc.
  2. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
  3. Burda, Michael C & Wyplosz, Charles, 1993. "Gross Worker and Job Flows in Europe," CEPR Discussion Papers 868, C.E.P.R. Discussion Papers.
  4. 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 257-73, May.
  5. Mortensen, Dale T & Pissarides, Christopher, 1999. "New Developments in Models of Search in the Labour Market," CEPR Discussion Papers 2053, C.E.P.R. Discussion Papers.
  6. 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.
  7. Olivier Jean Blanchard & Peter Diamond, 1990. "Ranking, Unemployment Duration, and Wages," NBER Working Papers 3387, National Bureau of Economic Research, Inc.
  8. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  9. Mortensen, Dale T, 1989. " The Persistence and Indeterminancy of Unemployment in Search Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 91(2), pages 347-70.
  10. Daron Acemoglu & Robert Shimer, 1998. "Holdups and Efficiency with Search Frictions," Working papers 98-14, Massachusetts Institute of Technology (MIT), Department of Economics.
  11. Hamilton, Jonathan & Thisse, Jacques-François & Zenou, Yves, 1999. "Wage Competition with Heterogeneous Workers and Firms," CEPR Discussion Papers 2141, C.E.P.R. Discussion Papers.
  12. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 465-491.
  13. 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, December.
  14. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, Oxford University Press, vol. 106(1), pages 163-179.
  15. 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.
  16. Robert E. Hall, 1978. "A Theory of the Natural Unemployment Rate and the Duration of Employment," NBER Working Papers 0251, National Bureau of Economic Research, Inc.
  17. Smith, Tony E & Zenou, Yves, 2001. "A Discrete-Time Stochastic Model of Job Matching," CEPR Discussion Papers 3044, C.E.P.R. Discussion Papers.
  18. Pissarides, C A, 1979. "Job Matchings with State Employment Agencies and Random Search," Economic Journal, Royal Economic Society, vol. 89(356), pages 818-33, December.
  19. Ricardo Lagos, 2000. "An Alternative Approach to Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 851-873, October.
  20. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-80, June.
  21. 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.
  22. Sattinger, Michael, 1990. "Unemployment, the Market for Interviews, and Wage Employment," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 356-71, April.
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Cited by:

  1. 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.
  2. Sylvain Barde, 2007. "Stable Partial Agglomeration in a New Economic Geography Model with Urban Frictions," Sciences Po publications 07/02, Sciences Po.
  3. repec:spo:wpecon:info:hdl:2441/8001 is not listed on IDEAS
  4. 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.
  5. Anthony E. Smith & Yves Zenou, 2002. "Online Appendix to "A Discrete-Time Stochastic Model of Job Matching"," Technical Appendices zenou02, Review of Economic Dynamics.
  6. 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, Social Science Research Center Berlin (WZB).
  7. Smith, Tony E & Zenou, Yves, 2001. "A Discrete-Time Stochastic Model of Job Matching," CEPR Discussion Papers 3044, C.E.P.R. Discussion Papers.
  8. Matteo Richiardi, 2006. "Toward a Non-Equilibrium Unemployment Theory," Computational Economics, Society for Computational Economics, vol. 27(1), pages 135-160, February.
  9. Smith, Tony E & Zenou, Yves, 2003. "Spatial Mismatch, Search Effort and Urban Spatial Structure," CEPR Discussion Papers 3731, C.E.P.R. Discussion Papers.
  10. Matteo Richiardi, 2006. "Toward a Non-Equilibrium Unemployment Theory," Computational Economics, Society for Computational Economics, vol. 28(4), pages 421-446, November.
  11. Gabriele R. & Fagiolo G. & Dosi G., 2004. "Towards an Evolutionary Interpretation of Aggregate Labor Market Regularities," Computing in Economics and Finance 2004 84, Society for Computational Economics.
  12. Neugart, Michael, 2008. "Labor market policy evaluation with ACE," Journal of Economic Behavior & Organization, Elsevier, vol. 67(2), pages 418-430, August.

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