Course CGOR: Cooperative Games with Applications to OR

Time:	Monday 15.15 – 17.00
Period:	November 18 – December 9 2024 and January 20 – February 10 2025 Please note that there are no lectures scheduled on 18 December 2024 and 6 January 2025
Location:	All LNMB courses take place on the Campus Utrecht Science Park. Room HFG 611, Hans-Freudenthal building, Budapestlaan 6, 3584 CD 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.

Detailed content

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