Course CGOR: Cooperative Games with Applications to OR

Time:	Monday 15.15 – 17.00. In case there is a shared lunch, this shifts to 16.00-17.45.
Period:	November 21 - December 19 (2022) and January 30 - February 27 (2023)
Location varies per week:	All LNMB courses are on the Campus Utrecht Science Park. January 30 : Buys Ballot building, room 017 February 6 : Buys Ballot building, room 007 February 13 : David de Wied building, room 1.22 February 20 : Minnaert building, room 013 February 27 : Buys Ballot building, room 079 Details about online facilities for students follow upon registration.
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 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