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Mathematical Models for Studying the Value of Motivational Leadership in Teams

Author

Listed:
  • Daniel Solow

    (Case Western Reserve Univ.)

  • Sandy Piderit

    (Case Western Reserve Univ.)

  • Apostolos Burnetas

    (University of Athens)

  • Chartchai Leenawong

    (King Mongkut’s Institute of Technology Ladkrabang)

Abstract

Mathematical models are presented for studying the value of leadership in a team where the members interact with each other. The models are based on a leader’s role of motivating each team member to perform closer to his/her maximum ability. These models include controllable parameters whose values reflect the amount of task interdependence among the workers as well as the motivational skill and variability in the skill of the leader. Confirming results—such as the fact that the skill level of the leader is a critical factor in the expected performance of the team—establish credibility in the models. Mathematical analysis and computer simulations are used to provide new managerial insights into the value of the leader—such as the fact that the skill of the leader can be more important than controlling the amount of interdependence among the team members and that having a choice of multiple leaders with no particular motivating skill is beneficial to the performance of small teams but not to large teams.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:comaot:v:11:y:2005:i:1:d:10.1007_s10588-005-1752-0
    DOI: 10.1007/s10588-005-1752-0
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    References listed on IDEAS

    as
    1. 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.
    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. 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.
    2. William Martin Tracy & M. V. Shyam Kumar & William Paczkowski, 2013. "Parametric interdependence, learning-by-doing, and industrial structure," Computational and Mathematical Organization Theory, Springer, vol. 19(4), pages 580-600, December.

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