Models, theory and applications in cooperative game theory

Abstract

This thesis consists of an introductory chapter (Chapter 1) followed by nine research chapters (Chapters 2-10), each of which is written as a self-contained journal paper, except that all references are gathered at the end of the thesis. These nine chapters are based on the nine papers that are listed below and have been submitted to journals for publication. The paper that forms the basis for Chapter 5 has been published in the International Journal of Game Theory, the papers underlying Chapter 2 and Chapter 8 are both accepted by the Journal Applied Mathematics and the paper underlying Chapter 10 is accepted by the Journal International Game Theory Review. The other papers are in different stages of the refereeing process. Chapters 2, 3 and 4 deal with game models, Chapters 5, 6 and 7 contain theoretical contributions to Cooperative Game Theory, while Chapters 8, 9 and 10 can be understood as the application of Game Theory. This explains the title of the thesis. Since the thesis has been written as a collection of more or less independent papers, the reader will find a certain amount of repetition of relevant concepts, definitions and background. The author apologizes for any inconvenience.

A Multi-Agent Approach to Design a WLAN System

“…An agent taking actions from its own view may reduce other agents' utility function values and increase the total lack of QoS in communication zone, which leads to the optimization algorithm search towards the direction of bad solution. So, it is necessary to restrict actions of agents by the tool of cooperative game [20]. In cooperative game, an agent can take only one action in its turn and the next agent cannot take any action until the last agent ends the game.…”