Micro Conditions for Macro Models of Manpower Mobility

  • Arie P. Schinnar
Part of the NATO Conference Series book series (NATOCS, volume 11)


This paper combines systems of micro and macro manpower accounts to link heterogeneous labor groups and employment opportunities within and across internal and external labor markets. The resulting framework is then used to construct a time-inhomogeneous model of social mobility in organizations in order to show how conditions in the external labor market affect advancement opportunities in the internal labor market and, vice-versa, the possible effect of conditions in the internal labor market on flows into and out of the external labor market. The model is then shown to converge to an equilibrium in which the aggregate manpower flow parameters become time-homogeneous.


Labor Market Micro Model Strong Equilibrium Internal Labor Market Weak Equilibrium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bacharach, M., (1970) Biproportional Matrices and Input-Output Change, Cambridge University Press: London.MATHGoogle Scholar
  2. Bartholomew, D.J., (1973) Stochastic Models for Social Processes, 2nd edition, Wiley: New York.MATHGoogle Scholar
  3. Blumen, I., M. Kogan and P.J. McCarthy, (1955) The Industrial Mobility of Labor as a Probability Process, Cornell Studies of Industrial and Labor Relations, Vol. 6, New York.Google Scholar
  4. Boudon, R., (1973) Mathematical Structures of Social Mobility, Elsevier, New York.Google Scholar
  5. Charnes, A., W.W. Cooper and R.J. Niehaus, (1972) Studies in Manpower Planning, Office of Civilian Manpower Management, Department of the Navy, Washington, D.C.Google Scholar
  6. Feuer, M.J. and A.P. Schinnar, (1978) “Exchange of Advancement Opportunities in Hierarchical Organizations,” Fels Discussion Paper No. 136, University of Pennsylvania, Philadelphia.Google Scholar
  7. Henry, N.W., R. McGinnis and H.W. Tegtmeyer, (1971) “A finite model of mobility,” Journal of Mathematical Sociology, Vol. 1, pp. 107–118.MATHCrossRefGoogle Scholar
  8. Kemeny, J.G., and L. Snell, (1960) Finite Markov Chains, Van Nostrand: New York.MATHGoogle Scholar
  9. Lewis, K.A. and A.P. Schinnar, (1978) “Analysis of Job-Related Promotion Pools,” presented at the ORSA/TIMS joint national meeting, Los Angeles, November 1978.Google Scholar
  10. Niehaus, R.J., (1979) Computer Assisted Human Resources Planning, Wiley-Interscience: New York.Google Scholar
  11. Schinnar, A.P., (1979) “Organizational growth and realignment of manpower grade-size distributions,” presented at the joint national ORSA/TIMS meeting, Milwaukee, October 1979.Google Scholar
  12. Schinnar, A.P., (1980) “Frameworks for social accounting and monitoring of invariance, efficiency and heterogeneity,” presented at the Seminar on Models for Alternative Development Strategies, October 1980, The Hague, Netherlands.Google Scholar
  13. Schinnar, A.P. and S. Stewman, (1978) “A class of Markov models of social mobility with duration memory patterns,” Journal of Mathematical Sociology, Vol. 6, pp. 61–86.MathSciNetCrossRefGoogle Scholar
  14. Seneta, E. (1973) Non-Negative Matrices, Wiley: New York.MATHGoogle Scholar
  15. Varga, R.S., (1962) Matrix Iterative Analysis, Prentice-Hall: New Jersey.Google Scholar

Copyright information

© Plenum Press, New York 1982

Authors and Affiliations

  • Arie P. Schinnar
    • 1
  1. 1.School of Public and Urban PolicyUniversity of PennsylvaniaPhiladelphiaUSA

Personalised recommendations