Three essays on game theory and computation

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" Three essays on game theory and computation "
Nikram, Elham Balkenborg, Dieter ; Neira, Julian

Document Type	:	Latin Dissertation
Record Number	:	1102013
Doc. No	:	TLets721393
Main Entry	:	Nikram, Elham
Title & Author	:	Three essays on game theory and computation\ Nikram, ElhamBalkenborg, Dieter ; Neira, Julian
College	:	University of Exeter
Date	:	2016
student score	:	2016
Degree	:	Ph.D.
Abstract	:	The results section of my thesis includes three chapters. The first two chapters are on theoretical game theory. In both chapters, by mathematical modelling and game theoretical tools, I am predicting the behaviour of the players in some real world issues. Hoteling-Downs model plays an important role in the modern political interpretations. The first chapter of this study investigates an extension of Hoteling-Downs model to have multi-dimensional strategy space and asymmetric candidates. Chapter 3 looks into the inspection game where the inspections are not the same in the series of sequential inspections. By modelling the game as a series of recursive zero-sum games I find the optimal strategy of the players in the equilibrium. The forth chapter investigates direct optimization methods for large scale problems. Using Matlab implementations of Genetic and Nelder-Mead algorithms, I compare the efficiency and accuracy of the most famous direct optimization methods for unconstraint optimization problems based on differing number of variables.
Subject	:	Game Theory
	:	Nash equilibrium
	:	Numerical optimization methods
	:	zero-sum game
Added Entry	:	Neira, Julian
	:	Balkenborg, Dieter
Added Entry	:	University of Exeter