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Efficient structure of organization with heterogeneous workers

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  • Cho, Myeonghwan

Abstract

This paper studies the problem of organizational design in a setting where workers differ in their abilities and every worker has to be monitored to prevent shirking. The need for monitoring workers generates a hierarchical structure in an organization, which can be represented as a rooted tree. The value of an organization is determined by the wage cost, the total number of productive tasks carried out, and the length of the chain of supervision in the organizational hierarchy. In this setting, we construct and characterize an efficient structure of hierarchy which maximizes the value of the organization. In addition, we show that a hierarchy with an optimal size has the form of a balanced rooted tree.

Suggested Citation

  • Cho, Myeonghwan, 2010. "Efficient structure of organization with heterogeneous workers," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1125-1139, November.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:1125-1139
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    1. Meagher, Kieron J., 2003. "Generalizing incentives and loss of control in an optimal hierarchy: the role of information technology," Economics Letters, Elsevier, vol. 78(2), pages 273-280, February.
    2. James L. Medoff & Katharine G. Abraham, 1981. "Are Those Paid More Really More Productive? The Case of Experience," Journal of Human Resources, University of Wisconsin Press, vol. 16(2), pages 186-216.
    3. Patrick Bolton & Mathias Dewatripont, 1994. "The Firm as a Communication Network," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(4), pages 809-839.
    4. Schulte, Elisabeth & Peter Gruner, Hans, 2007. "Speed and quality of collective decision making: Imperfect information processing," Journal of Economic Theory, Elsevier, vol. 134(1), pages 138-154, May.
    5. Van Zandt, Timothy, 2004. "Balancedness of Real-Time Hierarchical Resource Allocation," CEPR Discussion Papers 4276, C.E.P.R. Discussion Papers.
    6. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    7. Oliver E. Williamson, 1967. "Hierarchical Control and Optimum Firm Size," Journal of Political Economy, University of Chicago Press, vol. 75(2), pages 123-123.
    8. Prat, Andrea, 1997. "Hierarchies of Processors with Endogenous Capacity," Journal of Economic Theory, Elsevier, vol. 77(1), pages 214-222, November.
    9. McAfee, R Preston & McMillan, John, 1995. "Organizational Diseconomies of Scale," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 399-426, Fall.
    10. A. W. Beggs, 2001. "Queues and Hierarchies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 297-322.
    11. Mookherjee Dilip & Reichelstein Stefan, 2001. "Incentives and Coordination in Hierarchies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-38, April.
    12. Yingyi Qian, 1994. "Incentives and Loss of Control in an Optimal Hierarchy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 527-544.
    13. Calvo, Guillermo A & Wellisz, Stanislaw, 1978. "Supervision, Loss of Control, and the Optimum Size of the Firm," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 943-952, October.
    14. George Baker & Michael Gibbs & Bengt Holmstrom, 1994. "The Wage Policy of a Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(4), pages 921-955.
    15. Michael Keren & David Levhari, 1979. "The Optimum Span of Control in a Pure Hierarchy," Management Science, INFORMS, vol. 25(11), pages 1162-1172, November.
    16. Calvo, Guillermo A & Wellisz, Stanislaw, 1979. "Hierarchy, Ability, and Income Distribution," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 991-1010, October.
    17. Meagher, Kieron J., 2001. "The impact of hierarchies on wages," Journal of Economic Behavior & Organization, Elsevier, vol. 45(4), pages 441-458, August.
    18. Andrea Patacconi, 2009. "Coordination and delay in hierarchies," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 190-208, March.
    19. Beckmann, Martin J., 1977. "Management production functions and the theory of the firm," Journal of Economic Theory, Elsevier, vol. 14(1), pages 1-18, February.
    20. Nahum D. Melumad & Dilip Mookherjee & Stefan Reichelstein, 1995. "Hierarchical Decentralization of Incentive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 654-672, Winter.
    21. Orbay, Hakan, 2002. "Information Processing Hierarchies," Journal of Economic Theory, Elsevier, vol. 105(2), pages 370-407, August.
    22. Sherwin Rosen, 1982. "Authority, Control, and the Distribution of Earnings," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 311-323, Autumn.
    23. George Baker & Michael Gibbs & Bengt Holmstrom, 1994. "The Internal Economics of the Firm: Evidence from Personnel Data," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(4), pages 881-919.
    24. repec:bla:jemstr:v:4:y:1995:i:3:p:399-426:a is not listed on IDEAS
    25. Radner, Roy, 1993. "The Organization of Decentralized Information Processing," Econometrica, Econometric Society, vol. 61(5), pages 1109-1146, September.
    26. Luis Garicano & Esteban Rossi-Hansberg, 2006. "Organization and Inequality in a Knowledge Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1383-1435.
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    1. Kirchmaier, Isadora, 2014. "Service Organizations: Customer Contact and Incentives of Knowledge Managers," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100418, Verein für Socialpolitik / German Economic Association.

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