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Island Matching


  • Dale T. Mortensen

    (Northwestern University and Aarhus University)


The purpose of this paper is to use Shimer's (2006) mismatch structure to create a synthesis of the Lucas-Prescott island model and the Diamond-Mortensen-Pissarides matching model of unemployment. The wage and employment are determined by an auction on each island. All unmatched agents are randomly assigned to another market at the beginning of each period. The number of unmatched jobs is determined by free entry. The model has a dynamic equilibrium solution which is unique and efficient in the limit as the number of workers and job per market become large. When calibrated to the recently observed unemployment and vacancy rates, the model fits the vacancy-unemployment relationship well and implies a log linear relationship between the job finding rate and the vacancy-unemployment relationship. Finally, the model's implied responses to productivity shocks that are much larger than the canonical equilibrium model of unemployment.

Suggested Citation

  • Dale T. Mortensen, 2007. "Island Matching," 2007 Meeting Papers 142, Society for Economic Dynamics.
  • Handle: RePEc:red:sed007:142

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    References listed on IDEAS

    1. Marcus Hagedorn & Iourii Manovskii, 2008. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies Revisited," American Economic Review, American Economic Association, vol. 98(4), pages 1692-1706, September.
    2. Julien, Benoit & Kennes, John & King, Ian, 2006. "The Mortensen rule and efficient coordination unemployment," Economics Letters, Elsevier, vol. 90(2), pages 149-155, February.
    3. Diamond, Peter & Fudenberg, Drew, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 606-619, June.
    4. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    5. Dale T. Mortensen & Randall Wright, 2002. "Competitive Pricing and Efficiency in Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 1-20, February.
    6. Robert E. Hall & Paul R. Milgrom, 2008. "The Limited Influence of Unemployment on the Wage Bargain," American Economic Review, American Economic Association, vol. 98(4), pages 1653-1674, September.
    7. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    8. Mortensen, Dale T, 1999. "Equilibrium Unemployment Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 889-914, November.
    9. Peter A. Diamond, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 217-227.
    10. Dale Mortensen & Eva Nagypal, 2007. "More on Unemployment and Vacancy Fluctuations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(3), pages 327-347, July.
    11. Mortensen, Dale T, 1989. " The Persistence and Indeterminancy of Unemployment in Search Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 91(2), pages 347-370.
    12. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, July.
    13. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-979, December.
    14. Lucas, Robert Jr. & Prescott, Edward C., 1974. "Equilibrium search and unemployment," Journal of Economic Theory, Elsevier, vol. 7(2), pages 188-209, February.
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    Cited by:

    1. Ludo Visschers & Carlos Carrillo-Tudela, 2011. "Unemployment and Endogenous Reallocation over the Business Cycle," 2011 Meeting Papers 1101, Society for Economic Dynamics.
    2. Carlos Usabiaga & Pablo Álvarez de Toledo & Fernando Núñez, 2013. "Labour Market Segmentation, Clusters, Mobility And Unemployment Duration With Individual Microdata," EcoMod2013 5688, EcoMod.
    3. Kaas Leo, 2010. "Variable Search Intensity with Coordination Unemployment," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-33, October.
    4. Moritz Ritter & John Kennes & Benoit Julien, 2013. "Bidding for Teams," 2013 Meeting Papers 989, Society for Economic Dynamics.
    5. Bauer, Anja, 2013. "Mismatch unemployment : evidence from Germany 2000-2010," IAB Discussion Paper 201310, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    6. Claudio Michelacci & Josep Pijoan-Mas, 2012. "Intertemporal Labour Supply with Search Frictions," Review of Economic Studies, Oxford University Press, vol. 79(3), pages 899-931.
    7. Ohanian, Lee E. & Prescott, Edward C. & Stokey, Nancy L., 2009. "Introduction to dynamic general equilibrium," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2235-2246, November.
    8. Vives Coscojuela, Cecilia, 2016. "Human Capital and Market Size," IKERLANAK Ikerlanak;2016-98, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    9. Carlos Usabiaga & Fernando Núñez & Pablo Álvarez de Toledo, 2013. "Segmentación del mercado de trabajo, clusters, movilidad y duración de desempleo con datos individuales," Economic Working Papers at Centro de Estudios Andaluces E2013/02, Centro de Estudios Andaluces.
    10. Álvarez de Toledo, Pablo & Núñez, Fernando & Usabiaga, Carlos, 2014. "An empirical approach on labour segmentation. Applications with individual duration data," Economic Modelling, Elsevier, vol. 36(C), pages 252-267.
    11. Simonetta Longhi, 2012. "Job Competition and the Wage Curve," Regional Studies, Taylor & Francis Journals, vol. 46(5), pages 611-620, August.
    12. Kaas, Leo, 2008. "Variable Search Intensity in an Economy with Coordination Unemployment," IZA Discussion Papers 3697, Institute for the Study of Labor (IZA).
    13. Benoit Julien & John Kennes & Moritz Ritter, 2013. "Bidding for Clubs," Economics Working Papers 2013-19, Department of Economics and Business Economics, Aarhus University.
    14. Guido Menzio & Randall Wright, 2016. "Introduction to the Special Issue in Honor of Dale Mortensen," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 1-3, January.

    More about this item

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search


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