Author Date

2019-08-01

Degree Name

BS

Department

Mathematics

College

Physical and Mathematical Sciences

Defense Date

2019-09-06

Publication Date

2019-09-09

First Faculty Advisor

Gibb Dyer

Second Faculty Advisor

Sean Warnick

First Faculty Reader

Ryan Sharp

Honors Coordinator

Michael Griffin

Keywords

Leadership, Servant Leadership, Game Theory, Control Theory, Sacrifice, Productivity

Abstract

The topic of leadership belongs to a rich literature that is deep in historical documentation and broad by the many disciplines that have attempted to understand it. However, the contributions of quantitative theorists are scarce, which has resulted in theories of leadership that are primarily qualitative and often subjective. This paper begins building a bridge between the existing scholarship and a more quantitative approach to the study of leadership by rigorously defining leadership as a strategy of interpersonal investment and presenting a mathematical model of this leadership theory. This model provides a theoretical foundation to explain team dynamics, to study the various components of the team system, and to measure the results of leadership behavior in a team setting. Further, a study is presented which shows empirical evidence that this model proves veritable in practice.

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