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

Computer models of leadership: Foundations for a new discipline or meaningless diversion?

“…Specific results from the leadership field were first explored in 2001, using computer simulation (i.e., with system dynamics techniques) that modeled the charismatic leadership process (Jacobsen & House, 2001). Over the next few years, team and team leader simulations appeared (Black, King, and Oliver, 2005;Black & Oliver, 2004;Jiang & Burton, 2002;Schreiber & Carley, 2004Solow & Leenawong, 2003;Solow, Piderit, Burnetas, & Leenawong, 2005) to explore how agent interactions are affected by differing leadership styles.…”

“…In the last few years, several simulation models have been developed to explore this question. Some researchers (Solow & Leenawong, 2003;Solow et al, 2005) have developed mathematical models and computer simulations to study the value increment provided by leadership in a team context in which the team's members interact with one another and with the leader. These models are based on a leader's role in motivating team members to perform closer to their maximum ability.…”

“…Cooperation, motivation, and team performance Solow & Leenawong (2003) and Solow et al (2005) used the Kauffman (1993) NK model to explore how certain outcomes of leadership action would affect team performance; in particular, leadership activities that improve team cooperation and increase motivation.…”

Mathematical Models for Studying the Value of Motivational Leadership in Teams

“…A more skillful leader should have the property that, on average, worker-leader relationships are closer to 1 than with less skillful leaders. This feature is now captured by generating values for the relationship variables using a normal distribution with parameters µ and σ , rather than a uniform distribution, in the following way, first described in Solow and Leenawong (2003), and illustrated in figure 5:…”

“…Based on the NK model developed by Kauffman and Levin (1987) for studying genome evolution, Solow et al (2002) applied the model to the process of replacing members of a team. The NK model contains no concept of leadership, however, Solow and Leenawong (2003) developed an extension that includes the role of a leader in achieving cooperation among the team members. The contribution here is a collection of models that shows the impact of a motivational leader on the team's performance.…”