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.
BYU ScholarsArchive Citation
Valentine, Jacob D., "Dynamic Coalescence as a Mathematical Model of Leadership and Empirical Evidence of the Value of Strategic Sacrifice" (2019). Undergraduate Honors Theses. 96.
https://scholarsarchive.byu.edu/studentpub_uht/96
Handle
http://hdl.lib.byu.edu/1877/uht0096