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Simultaneous Search with Heterogeneous Firms and Ex Post Competition

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  • Gautier, Pieter A
  • Wolthoff, Ronald

Abstract

We study a search model where workers can apply to high and or low productivity firms. Firms that compete for the same candidate can increase their wage offers as often as they like. We show that if workers apply to two jobs, there is a unique symmetric equilibrium where workers mix between sending both applications to the high and sending both to the low productivity sector. But, efficiency requires that they apply to both sectors because a higher matching rate in the high-productivity sector can then be realized with fewer applications (and consequently fewer coordination frictions) if workers always accept the offer of the most productive sector. However, in the market the worker's payoff is determined by how much the firm with the second highest productivity is willing to bid. This is what prevents them from applying to both sectors. For many configurations, the equilibrium outcomes are the same under directed and random search. Allowing for free entry creates a second source of inefficiency. We discuss the effects of increasing the number of applications and show that our results can easily be generalized to N-firms.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6169.

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Date of creation: Mar 2007
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Handle: RePEc:cpr:ceprdp:6169

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Keywords: simultaneous search; directed search; efficiency; heterogeneous firms;

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References

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  1. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
  2. Gautier, Pieter & Moraga-González, José L., 2004. "Strategic Wage Setting and Coordination Frictions with Multiple Applications," IZA Discussion Papers 1260, Institute for the Study of Labor (IZA).
  3. Hector Chade & Lones Smith, 2006. "Simultaneous Search," Econometrica, Econometric Society, vol. 74(5), pages 1293-1307, 09.
  4. Kultti, K.K., 1997. "Equivalence of Auctions and Posted Prices," Discussion Paper 1997-57, Tilburg University, Center for Economic Research.
  5. Julien, B. & Kennes, J. & King, I., 1998. "Bidding for Labour," Discussion Papers dp98-03, Department of Economics, Simon Fraser University.
  6. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
  7. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  8. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
  9. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
  10. Steven J. Davis, 2001. "The Quality Distribution of Jobs and the Structure of Wages in Search Equilibrium," NBER Working Papers 8434, National Bureau of Economic Research, Inc.
  11. James Albrecht & Pieter A. Gautier & Susan Vroman, 2006. "Equilibrium Directed Search with Multiple Applications," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 869-891.
  12. Postel-Vinay, Fabien & Robin, Jean-Marc, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," CEPR Discussion Papers 3548, C.E.P.R. Discussion Papers.
  13. 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.
  14. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
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Cited by:
  1. Gavrel, Frédéric & Lebon, Isabelle & Rebiere, Therese, 2014. "Formal Education Versus Learning-by-Doing," IZA Discussion Papers 8341, Institute for the Study of Labor (IZA).
  2. Holzner, Christian & Gautier, Pieter, 2013. "Simultaneous search and network efficiency," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79740, Verein für Socialpolitik / German Economic Association.
  3. Kaas, Leo, 2008. "Variable Search Intensity in an Economy with Coordination Unemployment," IZA Discussion Papers 3697, Institute for the Study of Labor (IZA).
  4. Wolthoff, Ronald P., 2011. "It's About Time: Implications of the Period Length in an Equilibrium Job Search Model," IZA Discussion Papers 6002, Institute for the Study of Labor (IZA).
  5. Gautier, Pieter & Moraga-González, José L. & Wolthoff, Ronald P., 2007. "Structural Estimation of Search Intensity: Do Non-Employed Workers Search Enough?," IZA Discussion Papers 3045, Institute for the Study of Labor (IZA).
  6. Pieter Gautier & Jose Luis Moraga-Gonzalez & Ronald Wolthoff, 2007. "Structural Estimation of Search Intensity: Do non-employed workers search hard enough?," 2007 Meeting Papers 695, Society for Economic Dynamics.

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