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Abstract

This paper describes a search model with a continuum of worker and job types, transferable utility and an IRS contact technology. We apply a second order Taylor expansion to derive an analytical solution of the equilibrium. We find that one third of the increasing returns in contacts are absorbed by firms and workers being more choosy. Hence, strongly increasing returns in contact rates are consistent with weakly increasing returns in matching. In addition, we derive and decompose the efficiency loss due to inadequate incentives and show how unemployment benefits can reduce the loss. Finally, we derive a relation between the size of the surplus due to search frictions and the degree of substitutability of worker types at given job complexity levels. Numerical simulations of the model show that our approximations are quite accurate.

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Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0066.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:0066

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1. Shimer, R. & Smith, L., 1998. "Assortive Matching and Search," Papers 98-09, Michigan - Center for Research on Economic & Social Theory.
   
   • Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
   • Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2a, Massachusetts Institute of Technology (MIT), Department of Economics.
   • Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
2. Meyer, Bruce D, 1990. "Unemployment Insurance and Unemployment Spells," Econometrica, Econometric Society, vol. 58(4), pages 757-82, July.
   
   • Bruce D. Meyer, 1991. "Unemployment Insurance And Unemployment Spells," NBER Working Papers 2546, National Bureau of Economic Research, Inc.
3. Wolinsky, Asher, 1987. "Matching, search, and bargaining," Journal of Economic Theory, Elsevier, vol. 42(2), pages 311-333, August.
4. Dale T. Mortensen & Christopher A. Pissarides, 1993. "Job Creation and Job Destruction in the Theory of Unemployment," CEP Discussion Papers dp0110, Centre for Economic Performance, LSE.
   
   • Mortensen, Dale T & Pissarides, Christopher A, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 397-415, July.
5. Krueger, Alan B & Summers, Lawrence H, 1988. "Efficiency Wages and the Inter-industry Wage Structure," Econometrica, Econometric Society, vol. 56(2), pages 259-93, March.
6. 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.
   
   • 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.
7. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 279-98, April.
8. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
9. Diamond, Peter A, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 217-27, April.
10. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-80, June.
11. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
12. Teulings, Coen N, 1995. "The Wage Distribution in a Model of the Assignment of Skills to Jobs," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 280-315, April.
13. Martin A. van der Ende & Coenraad N. Teulings, 2001. "A Structural Model of Tenure and Specific Investments," CESifo Working Paper Series 532, CESifo Group Munich.
    
    • Coen N. Teulings & Martin A. van der Ende, 2000. "A Structural Model of Tenure and Specific Investments," Tinbergen Institute Discussion Papers 00-009/3, Tinbergen Institute, revised 30 Nov 2002.
14. P. Diamond, 1980. "Aggregate Demand Management in Search Equilibrium," Working papers 268, Massachusetts Institute of Technology (MIT), Department of Economics.
    
    • Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-94, October.
15. Pissarides, Christopher A, 1994. "Search Unemployment with On-the-Job Search," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 457-75, July.
    
    • Christopher A. Pissarides, 1992. "Search Unemployment with on-the-job Search," CEP Discussion Papers dp0074, Centre for Economic Performance, LSE.
16. Coen N. Teulings & José A.C. Vieira, 1998. "Urban versus Rural Return to Human Capital in Portugal, A Cook-Book Recipe for Applying Assignment Models," Tinbergen Institute Discussion Papers 98-095/3, Tinbergen Institute, revised 20 Sep 2002.
17. Kenneth Burdett & Dale T. Mortensen, 1989. "Equilibrium Wage Differentials and Employer Size," Discussion Papers 860, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
18. Jackman, R & Layard, Richard & Pissarides, C, 1989. "On Vacancies," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 51(4), pages 377-94, November.
19. Sattinger, Michael, 1975. "Comparative Advantage and the Distributions of Earnings and Abilities," Econometrica, Econometric Society, vol. 43(3), pages 455-68, May.
20. Burdett, Ken & Coles, Melvyn G, 1997. "Marriage and Class," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 141-68, February.
21. van Ours, J., 1991. "The Efficiency of the Dutch Labour Market in Matching Unemployment and Vacancies," Open Access publications from Tilburg University urn:nbn:nl:ui:12-142205, Tilburg University.
22. 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.
23. Burdett, Kenneth & Coles, Melvyn G, 1999. "Long-Term Partnership Formation: Marriage and Employment," Economic Journal, Royal Economic Society, vol. 109(456), pages F307-34, June.
24. Ours, J. C. van & Burdett, K. & Coles, M., 1994. "Temporal Aggregation Bias in Stock-Flow Models," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153334, Tilburg University.
    
    • Burdett, Kenneth & Coles, Melvyn G & van Ours, Jan C, 1994. "Temporal Aggregation Bias in Stock-Flow Models," CEPR Discussion Papers 967, C.E.P.R. Discussion Papers.
25. Sattinger, Michael, 1995. "Search and the Efficient Assignment of Workers to Jobs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 283-302, May.
26. Robert Shimer, 2001. "The Impact Of Young Workers On The Aggregate Labor Market," The Quarterly Journal of Economics, MIT Press, vol. 116(3), pages 969-1007, August.
    
    • Robert Shimer, 1999. "The Impact of Young Workers on the Aggregate Labor Market," NBER Working Papers 7306, National Bureau of Economic Research, Inc.
27. Lones Smith, 1995. "Cross-Sectional Dynamics in a Two-Sided Matching Model," Working papers 95-14, Massachusetts Institute of Technology (MIT), Department of Economics.

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