Using Game Theory to Model Covering and Packing Problems

Please enable javascript in your browser.

Gheibi, Omid | 2013

693 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 44690 (19)
University: Sharif University of Technology
Department: Computer Engineering
Advisor(s): Zarrabi-Zadeh, Hamid
Abstract:
Game theory is widely used to model diverse phenomena in the real world such as people’s behavior in elections and auctions. It also has natural applications to some other areas such as computer networks, cryptography, and security. In this thesis, we present a general approach to model two important classes of optimization problems, namely, covering and packing problems, using game theory concepts. This model provides an integrated language to explain the problems, and enables us to use game-theoretic tools to further explore and analyze the problems. In our proposed model, the optimum solutions of the modeled problem are always one of the equilibria of the game. Therefore, one can find optimium solutions to such problems, most of which are NP-hard, by applying existing theoretical and practical tools used for finding Nash equilibria in the games
Keywords:
Game Theory ; Modeling ; Nash Equilibrium Point ; Coalitional Games ; Optimization Problems