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Optimal multilevel organization modelling for active contributions of principals

  • Control in Social Economic Systems
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Abstract

A model of the optimal multilevel organization is described. Its originality is determined by its multilevel character, the optimal hierarchy structure being the internal parameter examined together with the “classical” organization theory parameters, such as technology, number of agents and principals, their types and effort levels, stimulation mechanisms. The key assumption is the additivity of principals’ contributions to the total profit of the organization. A particular case of the model with the logarithmic profit function is examined in detail.

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References

  1. Grossman, S. and Hart, O., Implicit Contracts Under Asymmetric Information, Quart. J. Econom., 1982, no. 1, pp. 110–124.

  2. Grossman, S. and Hart, O., An Analysis of the Principal-Agent Problem, Econometrica, 1983, vol. 51, no. 1, pp. 7–45.

    Article  MATH  MathSciNet  Google Scholar 

  3. Burkov, V.N. and Novikov, D.A., Teoriya aktivnykh sistem: sostoyanie i perspektivy (Active System Theory: Current state and Perspectives), Moscow: SINTEG, 1999.

    Google Scholar 

  4. Novikov, D.A., Setevye struktury i organizatsionnye sistemy (Net Structures and Organization Systems), Moscow: Inst. Probl. Upravlen., 2003.

    Google Scholar 

  5. Novikov, D.A., Mekhanizmy funktsionirovaniya mnogourovnevykh organizatsionnykh sistem (Operating Mechanisms of Multilevel Organization Systems), Moscow: Control Science Foundation, 1999.

    Google Scholar 

  6. Voronin, A.A. and Mishin, S.P., A Model of Optimal Control of Structural Changes in an Organizational System, Avtom. Telemekh., 2002, no. 8, pp. 136–150.

  7. Voronin, A.A. and Mishin, S.P., Algorithms to Seek the Optimal Structure of the Organizational System, Avtom. Telemekh., 2002, no. 5, pp. 120–132.

  8. Voronin, A.A. and Mishin, S.P., Optimalnye ierarkhicheskie structury (Optimal Hierarchical Structures), Moscow: Inst. Probl. Upravlen., 2003.

    Google Scholar 

  9. Gubko, M.V., Structure of the Optimal Organization of a Continuum of Executives, Avtom. Telemekh., 2002, no. 12, pp. 116–130.

  10. Mishin, S.P., Optimal Stimulation in Multilevel Hierarchical Structures, Avtom. Telemekh., 2004, no. 5, pp. 96–119.

  11. Mishin, S.P., Optimalnye ierarkhii upravleniya v ekonomicheskikh sistemakh (Optimal Control Hierarchies in Economical Systems), Moscow: Inst. Probl. Upravlen., 2004.

    Google Scholar 

  12. Gubko, M.V., Matematicheskie modeli optimizatsii ierarkhicheskikh struktur (Mathematical Models of the Hierarchical Structure Optimization), Moscow: LENAND, 2006.

    Google Scholar 

  13. Calvo, G. and Wellisz, S., Supervision, Loss of Control and the Optimal Size of the Firm, J. Politic. Econom., 1978, vol. 86, pp. 943–952.

    Article  Google Scholar 

  14. Calvo, G. and Wellisz, S., Hierarchy, Ability and Income Distribution, J. Politic. Econom., 1979, vol. 87, pp. 991–1010.

    Article  Google Scholar 

  15. Qian, Y., Incentives and Loss of Control in an Optimal Hierarchy, Rev. Econom. Stud., 1994, vol. 61, no. 3, pp. 527–544.

    Article  MATH  Google Scholar 

  16. Simon, H.A., The Compensation of Executives, Sociometry, 1957, vol. 20, no. 1, pp. 32–35.

    Article  Google Scholar 

  17. Williamson, O. Hierarchical Control and Optimal Firm Size, J. Politic. Econom., 1967, vol. 75, pp. 123–138.

    Article  MathSciNet  Google Scholar 

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Original Russian Text © S.P. Mishin, 2008, published in Avtomatika i Telemekhanika, 2008, No. 7, pp. 98–112.

This work was supported by the grant of President of the Russian Federation, project no. MK-8928.2006.1 and by the National Science Assistance Foundation.

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Mishin, S.P. Optimal multilevel organization modelling for active contributions of principals. Autom Remote Control 69, 1188–1200 (2008). https://doi.org/10.1134/S0005117908070102

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