Ahmad Nahhas

ORCID Identifier(s)

0000-0002-5073-6572

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

Comments

Degree granted by The University of Texas at Arlington

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