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Island Matching

  • Dale T. Mortensen

A synthesis of the Lucas-Prescott island model and the Mortensen- Pissarides matching model of unemployment is studied. By assumption, all unmatched workers and jobs are randomly assigned to islands at the beginning of each period and the number of matches that form on a particular island is the minimum of the two realizations. When calibrated to the recently observed averages of U.S. unemployment and vacancy rates, the model fits the observed vacancy-unemployment Beveridge relationship very well and implies an implicit log linear relationship between the job finding rate and the vacancy-unemployment relationship with an elasticity near 0.5. The constrained efficient solution to the model is decentralized by a equilibrium outcome in which wages on each island are determined by a modified auction. Although the efficient solution explains only about 25% of the observed volatility in the U.S. vacancy-unemployment ratio, an equilibrium outcome in which wages are determined as the solution to a strategic bargaining game explains almost all of it.

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File URL: http://www.nber.org/papers/w13287.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 13287.

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Date of creation: Aug 2007
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Publication status: published as Mortensen, Dale T., 2009. "Island matching," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2336-2353, November.
Handle: RePEc:nbr:nberwo:13287
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  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. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, June.
  3. John Kennes & Benoit Julien & Ian King, 2002. "The Mortensen Rule and Efficient Coordination Unemployment," Macroeconomics 0206001, EconWPA.
  4. Dale T. Mortensen, 2005. "More on Unemployment and Vacancy Fluctuations," 2005 Meeting Papers 326, Society for Economic Dynamics.
  5. Fudenberg, Drew & Diamond, Peter, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Scholarly Articles 3374509, Harvard University Department of Economics.
  6. 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.
  7. 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.
  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. Lucas, Robert Jr. & Prescott, Edward C., 1974. "Equilibrium search and unemployment," Journal of Economic Theory, Elsevier, vol. 7(2), pages 188-209, February.
  10. Robert E. Hall & Paul R. Milgrom, 2007. "The Limited Influence of Unemployment on the Wage Bargain," Levine's Bibliography 321307000000000135, UCLA Department of Economics.
  11. Diamond, Peter A, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 217-27, April.
  12. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-79, December.
  13. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
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