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Simultaneous Search with Heterogeneous Firms and Ex Post Competition

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Author Info
Gautier, Pieter A
Wolthoff, Ronald

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

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Find related papers by JEL classification:
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
E24 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution
J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand
J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
J64 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies - - - Unemployment: Models, Duration, Incidence, and Job Search

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November. [Downloadable!] (restricted)
    Other versions:
  3. Kultti, Klaus, 1999. "Equivalence of Auctions and Posted Prices," Games and Economic Behavior, Elsevier, vol. 27(1), pages 106-113, April. [Downloadable!] (restricted)
    Other versions:
  4. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July. [Downloadable!] (restricted)
  5. Manolis Galenianos & Philipp Kircher, 2005. "Directed Search with Multiple Job Applications," PIER Working Paper Archive 05-022, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
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  6. 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. [Downloadable!] (restricted)
  7. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September. [Downloadable!] (restricted)
  8. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
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  9. Lones Smith & Hector Chade, 2004. "Simultaneous Search," 2004 Meeting Papers 25, Society for Economic Dynamics.
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  10. 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. [Downloadable!] (restricted)
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  11. James Albrecht & Pieter A. Gautier & Susan Vroman, 2006. "Equilibrium Directed Search with Multiple Applications," Review of Economic Studies, Blackwell Publishing, vol. 73(4), pages 869-891, October. [Downloadable!] (restricted)
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  12. 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.
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  13. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Kaas, Leo, 2008. "Variable Search Intensity in an Economy with Coordination Unemployment," IZA Discussion Papers 3697, Institute for the Study of Labor (IZA). [Downloadable!]
  2. Gautier, Pieter A & Moraga-González, José-Luis & Wolthoff, Ronald, 2007. "Structural Estimation of Search Intensity: Do Non-Employed Workers Search Enough?," CEPR Discussion Papers 6440, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
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