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Landelijk Netwerk Mathematische Besliskunde

Course CGOR: Cooperative Games with Applications to OR

 
Time: Monday 15.15 – 17.00 (November 16 - December 14 and January 25 - February 22).
Location: All LNMB courses will be taught on-line until further notice. After registration, students receive a link for the video connection.
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 coaltional 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 and claims games.
- Applications of duality theorems: balanced games and linear production games.
- OR games: minimum cost spanning tree games and sequencing games.

Literature:
Lecture notes will be provided.

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: pemborm@tilburguniversity.edu