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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. Daron Acemoglu & Robert Shimer, 1998. "Holdups and Efficiency with Search Frictions," Working papers 98-14, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Acemoglu, D. & Shimer, R., 1997. "Efficient Unemployment Insurance," Working papers 97-9, Massachusetts Institute of Technology (MIT), Department of Economics.
  3. Julien, B. & Kennes, J. & King, I., 1998. "Bidding for Labour," Discussion Papers dp98-03, Department of Economics, Simon Fraser University.
  4. 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.
  5. 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.
  6. Blanchard, Olivier Jean & Diamond, Peter A, 1994. "Ranking, Unemployment Duration, and Wages," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 417-34, July.
  7. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-80, June.
  8. 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 453-72, July.
  9. Burda, Michael C & Wyplosz, Charles, 1993. "Gross Worker and Job Flows in Europe," CEPR Discussion Papers 868, C.E.P.R. Discussion Papers.
  10. Butters, Gerard R, 1977. "Equilibrium Distributions of Sales and Advertising Prices," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 465-91, October.
  11. 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.
  12. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
  13. Ricardo Lagos, 2000. "An Alternative Approach to Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 851-873, October.
  14. Anthony E. Smith & Yves Zenou, 2002. "Online Appendix to "A Discrete-Time Stochastic Model of Job Matching"," Technical Appendices zenou02, Review of Economic Dynamics.
  15. 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.
  16. 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.
  17. 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.
  18. Smith, Tony E & Zenou, Yves, 2001. "A Discrete-Time Stochastic Model of Job Matching," CEPR Discussion Papers 3044, C.E.P.R. Discussion Papers.
  19. 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.
  20. 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.
  21. 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.
  22. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  23. 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.
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Citations

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Cited by:
  1. repec:spo:wpecon:info:hdl:2441/8001 is not listed on IDEAS
  2. 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.
  3. Sylvain Barde, 2007. "Stable Partial Agglomeration in a New Economic Geography Model with Urban Frictions," Sciences Po publications 07/02, Sciences Po.
  4. Calvó-Armengol, Antoni & Zenou, Yves, 2003. "Job Matching, Social Network and Word-of-Mouth Communication," IZA Discussion Papers 771, Institute for the Study of Labor (IZA).
  5. 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.
  6. Anthony E. Smith & Yves Zenou, 2002. "Online Appendix to "A Discrete-Time Stochastic Model of Job Matching"," Technical Appendices zenou02, Review of Economic Dynamics.
  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. 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.
  9. 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).
  10. Neugart, Michael, 2008. "Labor market policy evaluation with ACE," Journal of Economic Behavior & Organization, Elsevier, vol. 67(2), pages 418-430, August.
  11. Matteo Richiardi, 2005. "Towards a Non-Equilibrium Unemployment Theory," LABORatorio R. Revelli Working Papers Series 37, LABORatorio R. Revelli, Centre for Employment Studies.

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