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Simultaneous Search with Heterogeneous Firms and Ex Post Competition

Author

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  • Pieter A. Gautier

    (Faculty of Economics and Business Administration, Vrije Universiteit Amsterdam)

  • Ronald P. Wolthoff

    (Faculty of Economics and Business Administration, Vrije Universiteit Amsterdam)

Abstract

In this paper we study the allocation of workers over high and low productivity firms in a labor market with coordination frictions. Specifically, we consider 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 firm. 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 so our results are not driven by random search. We discuss the effects of increasing the number of applications and show that our results can easily be generalized to N -firms. See publication in Labour Economics , 2009, 16(3), 311-19.

Suggested Citation

  • Pieter A. Gautier & Ronald P. Wolthoff, 2006. "Simultaneous Search with Heterogeneous Firms and Ex Post Competition," Tinbergen Institute Discussion Papers 06-032/3, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20060032
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    References listed on IDEAS

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    Cited by:

    1. Cai, Xiaoming & Gautier, Pieter A. & Wolthoff, Ronald P., 2017. "Search frictions, competing mechanisms and optimal market segmentation," Journal of Economic Theory, Elsevier, vol. 169(C), pages 453-473.
    2. Thérèse REBIÈRE & Frédéric GAVREL & Isabelle LEBON, 2009. "Formal Education Versus Learning-by-doing," EcoMod2009 21500078, EcoMod.
    3. Gautier, Pieter A. & Moraga-González, José L. & Wolthoff, Ronald P., 2016. "Search costs and efficiency: Do unemployed workers search enough?," European Economic Review, Elsevier, vol. 84(C), pages 123-139.
    4. Kaas Leo, 2010. "Variable Search Intensity with Coordination Unemployment," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-33, October.
    5. Serdar Birinci & Kurt See & Shu Lin Wee, 2020. "Job Applications and Labor Market Flows," Working Papers 2020-023, Federal Reserve Bank of St. Louis, revised 16 Aug 2021.
    6. Gautier, Pieter A. & Wolthoff, Ronald P., 2009. "Simultaneous search with heterogeneous firms and ex post competition," Labour Economics, Elsevier, vol. 16(3), pages 311-319, June.
    7. Ronald Wolthoff & Pieter Gautier & Xiaoming Cai, 2016. "Inclusive versus Exclusive Markets:," 2016 Meeting Papers 262, Society for Economic Dynamics.
    8. Wolthoff, Ronald P., 2011. "It's About Time: Implications of the Period Length in an Equilibrium Job Search Model," IZA Discussion Papers 6002, Institute of Labor Economics (IZA).
    9. Gautier, Pieter A & Holzner, Christian, 2011. "Simultaneous Search and Network Efficiency," CEPR Discussion Papers 8522, C.E.P.R. Discussion Papers.
    10. Xiaoming Cai & Pieter Gautier & Ronald Wolthoff, 2015. "Inclusive versus Exclusive Markets: Search Frictions and Competing Mechanisms," Working Papers tecipa-545, University of Toronto, Department of Economics.
    11. Ronald Wolthoff, 2018. "Applications and Interviews: Firms’ Recruiting Decisions in a Frictional Labour Market," Review of Economic Studies, Oxford University Press, vol. 85(2), pages 1314-1351.
    12. Pieter A. Gautier & Jose Luis Moraga-Gonzalez & Ronald P. Wolthoff, 2007. "Structural Estimation of Search Intensity: Do Non-Employed Workers Search Enough?," Tinbergen Institute Discussion Papers 07-071/3, Tinbergen Institute.
    13. 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.
    14. Kaas, Leo, 2008. "Variable Search Intensity in an Economy with Coordination Unemployment," IZA Discussion Papers 3697, Institute of Labor Economics (IZA).

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    More about this item

    Keywords

    Directed search; multiple applications; efficiency;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • 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, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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