Course CG: Cooperative Games

Time:	Monday 15.15 – 17.00 (November 19 - December 17 & Januari 21 - February 18).
Location:	Hans Freudenthalgebouw, Room 611AB, Budapestlaan, de Uithof, Utrecht
Lecturer:	Prof.dr. P.E.M. Borm (Tilburg University).

Course description:
Game theory studies interactive decision situations involving conflict and/or cooperation. In cooperative games binding agreements are allowed and the players may form coalitions. The focus is on the question how to reallocate the resulting joint coalitional payoff among the players in a fair way.
The following subjects are discussed:
- Games in characteristic form (TU games).
- Shapley value, compromise value and nucleolus.
- Core concepts.
- Convexity and compromise stability.
- Some classes of ORGames: minimum cost spanning tree games and linear production games.

Literature:
Lecture notes will be provided.
NOT compulsory (just as an indication):
- S.H. Tijs, Introduction to Game Theory, Hindustan Book Agency, India, 2003.

Prerequisites:
Basic knowledge of analysis and linear algebra.

Examination:
Take home problems.

Address of the lecturer:
Prof.dr. P.E.M. Borm
Department of Econometrics & Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg.
Phone: 013 - 4663026.
E-mail: p.e.m.borm@uvt.nl