University of Northern Iowa UNI ScholarWorks Presidential Scholars Theses (1990 – 2006) Honors Program 1997 Game theory and its practical applications Angela M. Koos University of Northern Iowa Let us know how access to this document benefits ouy Copyright ©1997 Angela M. Koos Follow this and additional works at: https://scholarworks.uni.edu/pst Part of the Other Economics Commons Recommended Citation Koos, Angela M., "Game theory and its practical applications" (1997). Presidential Scholars Theses (1990 – 2006). 100. https://scholarworks.uni.edu/pst/100 This Open Access Presidential Scholars Thesis is brought to you for free and open access by the Honors Program at UNI ScholarWorks. It has been accepted for inclusion in Presidential Scholars Theses (1990 – 2006) by an authorized administrator of UNI ScholarWorks. For more information, please contact
[email protected]. Game Theory and its Practical Applications A Presidential Scholar Senior Thesis University of Northern Iowa by Angela M. Koos Spring 1997 Dr. Ken Brown, 7 Dfrte Thesis and Major Advisor ,~-,, Dr. Ed Rathmell, Date Chair of Presidential Scholars Board Table of Contents Section Page(s) I. Historical Overview 1 I.A. Early Contributions to Game Theory 1 - 3 LB. John von Neumann, the RAND Corporation, and the Arms Race 3 - 7 LC. John Nash 7 - 8 I.D. Other Contributions to Game Theory 9 II. Defining Game Theory 9 - 12 II.A. Formal Representations of Games 12 - 13 II.A. I. Extensive Form 13 - 24 II.A.2. Normal Form 24 - 25 III. The Minimax Theorem 25 - 26 III.A. Preliminary Comments 26 - 27 III.B. The Theorem 27 - 28 IV.