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Mathematical Models for Studying the Value of Cooperational Leadership in Team Replacement

Author

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  • Daniel Solow

    (Case Western Reserve University)

  • Chartchai Leenawong

    (King Mongkut's Institute of Technology)

Abstract

Mathematical models are presented for studying the value of leadership in a team whose composition is changing over time. The models are based on a leader's role of achieving cooperation among the interacting members so that they perform their tasks better and hence improve overall team performance. Three different approaches, modified from Kauffman's NK model, are proposed. Each model includes controllable parameters whose values reflect the amount of interaction among the workers as well as the skill and variance of the leader in achieving cooperation. Computer simulations are used to show how the skill level and variance of the leader affect the expected performance of the team. Managerial insights into the value of the leader—such as the fact that finding a more skillful leader can be more important to team performance than controlling the amount of interaction among the team members—are provided.

Suggested Citation

  • Daniel Solow & Chartchai Leenawong, 2003. "Mathematical Models for Studying the Value of Cooperational Leadership in Team Replacement," Computational and Mathematical Organization Theory, Springer, vol. 9(1), pages 61-81, May.
    • Handle: RePEc:spr:comaot:v:9:y:2003:i:1:d:10.1023_b:cmot.0000012309.42988.2f
    DOI: 10.1023/B:CMOT.0000012309.42988.2f
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    References listed on IDEAS

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    1. Jan W. Rivkin & Nicolaj Siggelkow, 2003. "Balancing Search and Stability: Interdependencies Among Elements of Organizational Design," Management Science, INFORMS, vol. 49(3), pages 290-311, March.
    2. Daniel Solow & George Vairaktarakis & Sandy Kristin Piderit & Ming-chi Tsai, 2002. "Managerial Insights into the Effects of Interactions on Replacing Members of a Team," Management Science, INFORMS, vol. 48(8), pages 1060-1073, August.
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    Cited by:

    1. Swanack, Todd M. & Grant, William E. & Fath, Brian D., 2008. "On the use of multi-species NK models to explore ecosystem development," Ecological Modelling, Elsevier, vol. 218(3), pages 367-374.
    2. Daniel Solow & Sandy Piderit & Apostolos Burnetas & Chartchai Leenawong, 2005. "Mathematical Models for Studying the Value of Motivational Leadership in Teams," Computational and Mathematical Organization Theory, Springer, vol. 11(1), pages 5-36, May.
    3. Walid F. Nasrallah & Charbel J. Ouba & Ali A. Yassine & Issam M. Srour, 2015. "Modeling the span of control of leaders with different skill sets," Computational and Mathematical Organization Theory, Springer, vol. 21(3), pages 296-317, September.

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