Graduation Semester and Year
2017
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Industrial Engineering
Department
Industrial and Manufacturing Systems Engineering
First Advisor
Herbert W Corley
Abstract
In this dissertation, we present four journal articles in the area of game theory. In the first article, we define a generalized equilibrium for n-person normal form games. We prove that the Nash equilibrium and the mixed Berge equilibrium are special cases of the generalized equilibrium. In the second article, we study the computational complexity of finding a mixed Berge equilibrium in n-person normal form games. In particular, we prove that the problem is an NP-complete problem for n >= 3. In the third article, we give an interpretation of mixed strategies via resource allocation. Finally, in the fourth article, we extend the concept of the mixed Berge equilibrium to n-person extensive form games.
Keywords
Game theory, Berge equilibrium
Disciplines
Engineering | Operations Research, Systems Engineering and Industrial Engineering
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Nahhas, Ahmad, "Some New Results for Equilibria of N-Person Games" (2017). Industrial, Manufacturing, and Systems Engineering Dissertations. 140.
https://mavmatrix.uta.edu/industrialmanusys_dissertations/140
Comments
Degree granted by The University of Texas at Arlington