ECTS : 5
Volume horaire : 36
Description du contenu de l'enseignement :
Volume horaire :
CM : 18h
TD : 18h
We study some basic models and results on non-cooperative game theory. The course is divided in five parts:
1. Introduction to game theory: Notations and basic concepts
2. Zero-sum games: Theorem of Von Neumann
3. Nash equilibrium, their existence and mixed strategies; Nash's Theorem
4. Combinatorial Games, Game trees, Zermelo's Theorem
5. Topology: Sperner's Lemma and Applications
Compétence à acquérir :
The student will know important concepts of game theory, and learn how to solve problems and prove theorems: Nash Equilibrium, Von Neumann's Theorem, Zermelo's Theorem, Combinatorial games, etc.
Mode de contrôle des connaissances :
CC (midterm) + Final Exam
Bibliographie, lectures recommandées :
Two references: 1) Game Theory, Tadelis 2) Game theory: playful introduction, DeVos, Kent