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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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Bibliographic Info

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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Related research

Keywords: large population approximation; matching function; optimal search intensity;

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References

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  1. Blanchard, O.J. & Diamond, P., 1990. "Ranking, Unemployment Duration, And Wages," Working papers 546, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. 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.
  3. 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.
  4. 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.
  5. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-80, June.
  6. Ricardo Lagos, 2000. "An Alternative Approach to Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 851-873, October.
  7. 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.
  8. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
  9. 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 827-49, November.
  10. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
  11. 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.
  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. 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.
  14. Julien, B. & Kennes, J. & King, I., 1998. "Bidding for Labour," Discussion Papers dp98-03, Department of Economics, Simon Fraser University.
  15. 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.
  16. Burda, Michael C & Wyplosz, Charles, 1993. "Gross Worker and Job Flows in Europe," CEPR Discussion Papers 868, C.E.P.R. Discussion Papers.
  17. Butters, Gerard R, 1977. "Equilibrium Distributions of Sales and Advertising Prices," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 465-91, October.
  18. 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.
  19. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  20. 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.
  21. Montgomery, James D, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, MIT Press, vol. 106(1), pages 163-79, February.
  22. 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.
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Citations

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Cited by:
  1. 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.
  2. Calvó-Armengol, Antoni & Zenou, Yves, 2001. "Job Matching, Social Network and Word-of-Mouth Communication," Seminar Papers 695, Stockholm University, Institute for International Economic Studies.
  3. 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.
  4. Neugart, Michael, 2006. "Labor market policy evaluation with an agent-based model," MPRA Paper 4726, University Library of Munich, Germany.
  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. Matteo Richiardi, 2006. "Toward a Non-Equilibrium Unemployment Theory," Computational Economics, Society for Computational Economics, vol. 28(4), pages 421-446, November.
  7. repec:spo:wpecon:info:hdl:2441/8001 is not listed on IDEAS
  8. Sylvain Barde, 2007. "Stable Partial Agglomeration in a New Economic Geography Model with Urban Frictions," Sciences Po publications 07/02, Sciences Po.
  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. 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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