Game theory is a mathematical theory dealing with the modeling and the analysis of conflict and cooperation. The course enables its students to learn the basic concepts of Cooperative Game Theory and its applications to Operations Research Games. We aim to provide a background and understanding of the main ideas underlying this theory and shows how it can be used to understand economic, social, political phenomena. It is interesting to develop a theory of cooperative games in situations where the values of coalitions are closed intervals because in various economic situations where agents intend to cooperate there is interval uncertainty. Inspired by the classical theory we develop solution concepts as interval cores, Shapley values and indicate its applications to Operations Research games.
Language: English
Duration: 8 academic hours
Tutor of the course:
Dr. Zeynep Alparslan-Gok, Suleyman Demirel University, Faculty of Arts and Sciences, Department of Mathematics, Isparta, Turkey