Markovian Competitive and Cooperative Games with Applications to Communications
DISSERTATION in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy from University of Nice Sophia Antipolis Specialization: Communication and Electronics Lorenzo Maggi Markovian Competitive and Cooperative Games with Applications to Communications Thesis defended on the 9th of October, 2012 before a committee composed of: Reporters Prof. Jean-Jacques Herings (Maastricht University, The Netherlands) Prof. Roberto Lucchetti, (Politecnico of Milano, Italy) Examiners Prof. Pierre Bernhard, (INRIA Sophia Antipolis, France) Prof. Petros Elia, (EURECOM, France) Prof. Matteo Sereno (University of Torino, Italy) Prof. Bruno Tuffin (INRIA Rennes Bretagne-Atlantique, France) Thesis Director Prof. Laura Cottatellucci (EURECOM, France) Thesis Co-Director Prof. Konstantin Avrachenkov (INRIA Sophia Antipolis, France) THESE pr´esent´ee pour obtenir le grade de Docteur en Sciences de l’Universit´ede Nice-Sophia Antipolis Sp´ecialit´e: Automatique, Traitement du Signal et des Images Lorenzo Maggi Jeux Markoviens, Comp´etitifs et Coop´eratifs, avec Applications aux Communications Th`ese soutenue le 9 Octobre 2012 devant le jury compos´ede : Rapporteurs Prof. Jean-Jacques Herings (Maastricht University, Pays Bas) Prof. Roberto Lucchetti, (Politecnico of Milano, Italie) Examinateurs Prof. Pierre Bernhard, (INRIA Sophia Antipolis, France) Prof. Petros Elia, (EURECOM, France) Prof. Matteo Sereno (University of Torino, Italie) Prof. Bruno Tuffin (INRIA Rennes Bretagne-Atlantique, France) Directrice de Th`ese Prof. Laura Cottatellucci (EURECOM, France) Co-Directeur de Th`ese Prof. Konstantin Avrachenkov (INRIA Sophia Antipolis, France) Abstract In this dissertation we deal with the design of strategies for agents interacting in a dynamic environment. The mathematical tool of Game Theory (GT) on Markov Decision Processes (MDPs) is adopted.
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