Game Theory Fundamentals

Goal : To provide the fundamental concepts and tools related to operational research and game theory which will be applied to different transport domains. Important issues such incentivation and rewarding play a key role in biasing user behaviour aiming at optimizing system operation.

List of subjects to be presented to the students :

● Extensive form and normal form games.
● Two-person zero-sum games.
● Rectangular/matrix games.
● The minimax/Von Neumann Theorem.
● Two-person non-cooperative, non-zero sum games.
● Two-person cooperative, non-zero sum games.
● N-person games.
● Shapley theory for N-person games.
● Aumann-Maschler theory for N-person games.