12 Monday mornings (February 12 until May 21; no courses on April 9 and 16).
Location :
Lecturers :
Part a (6 sessions): Dr. P.E.M. Borm (KUB)
Part b (6 sessions): Prof.dr.ir.drs. O.J. Vrieze (RL)
Course description:
Part a (Borm): Cooperative games
- Games in characteristic form (TU games)
- Shapley value, -value and nucleolus
- Core concepts
- Special cases related to:
* linear production situations
* flows in networks
* voting situations
* exchange economics
- Bargaiging games and NTU-games
- Application in telecommunication
Part b (Vrieze): Noncooperative games
- Games in extended form; games in strategic form
- Matrix games: value, optimal strategies, relation with linear programming
- Bi-matrix games: Nash-equilibria and refinements
- Stochastic games: optimality criteria, value and algorithms
- Applications
Literature:
Lecture notes will be provided.
Prerequisites:
None.
Examination:
Take home problems.
Adresses of the lecturers:
Dr. P.E.M. Borm Prof.dr.ir.drs. O.J. Vrieze
CentER for Economic Research Department of Mathematics
Tilburg University Maastricht University
P.O. Box 90153 P.O. Box 616
5000 LE Tilburg 6200 MD Maastricht
Phone : 013 - 4663026 Phone : 043 - 3883496
E-mail : pemborm@kub.nl E-mail : oj.vrieze@math.unimaas.nl