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Hierarchical Assignments: Stability and Fairness

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Author Info
Eriksson, Kimmo (Department of Mathematics)
Karlander, Johan (Department of Mathematics)
Öller, Lars-Erik () (Dept. of Economic Statistics, Stockholm School of Economics)

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Abstract

We study a simple model of the job market, where workers are assigned to employers. We specify conditions under which the market is hierarchical in a natural sense. For such hierarchies, we can state explicit values for the earnings in the worker-optimal and employer-optimal solutions. This is a discrete analogue to the Ricardian differential rent model of Sattinger (1979). We discuss the compatibility problems between fairness and stability of earnings and assignments and argue for a certain solution.

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Publisher Info
Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 201.

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Length: 15 pages
Date of creation: 27 Oct 1997
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Publication status: Published in Mathematical Social Sciences, 2000, pages 109-118.
Handle: RePEc:hhs:hastef:0201

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Postal: The Economic Research Institute, Stockholm School of Economics, P.O. Box 6501, 113 83 Stockholm, Sweden
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Related research
Keywords: Hierarchies; assignment; fairness; envy;

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Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

References listed on IDEAS
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  1. Kremer, Michael, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 551-75, August. [Downloadable!] (restricted)
  2. H. R. Varian, 1973. "Equity, Envy and Efficiency," Working papers 115, Massachusetts Institute of Technology (MIT), Department of Economics.
    Other versions:
  3. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation, Yale University. [Downloadable!]
  4. Sattinger, Michael, 1979. "Differential Rents and the Distribution of Earnings," Oxford Economic Papers, Oxford University Press, vol. 31(1), pages 60-71, March. [Downloadable!] (restricted)
  5. Bloch, Francis & Ryder, Harl, 2000. "Two-Sided Search, Marriages, and Matchmakers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 93-115, February.
  6. Lindbeck, A. & Snower, D.J., 1996. "Reorganization of Firms and Labor Market Inequality," Papers 605, Stockholm - International Economic Studies.
    Other versions:
  7. Burdett, Ken & Coles, Melvyn G, 1997. "Marriage and Class," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 141-68, February.
  8. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-80, June. [Downloadable!] (restricted)
  9. Feldman, Allan M & Kirman, Alan, 1974. "Fairness and Envy," American Economic Review, American Economic Association, vol. 64(6), pages 995-1005, December. [Downloadable!] (restricted)
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