GAME THEORY
Academic Year 2017/2018 - 3° Year - Curriculum APPLICATIVOCredit Value: 6
Scientific field: MAT/09 - Operational research
Taught classes: 48 hours
Term / Semester: 1°
Learning Objectives
The course aims at introducing basic concepts in static and dynamic games. The course provides students with analytic tools in order to model and foresee situations in which players (consumers, firms, governments, etc.) strategically interact. The interest focus on applications in economics, engineering and biology.
Detailed Course Content
1. STATIC GAMES WITH COMPLETE INFORMATION
Representation of a game. Dominant solutions and iterated elimination of strictly dominated strategies. Pure and mixed strategies. Nash equilibrium. Cournot model. Zero sum games. MInimax solutions. Von Neumann' theorem.
2. DYNAMIC GAMES WITH COMPLETE INFORMATION
Backward induction. Stackelberg duopolistic model. Subgame perfect equilibrium. Repeated games.
3. STATIC GAMES WITH INCOMPLETE INFORMATION
Bayesian games. Correlated equilibria.
4. COOPERATIVE GAMES
Cooperative games with transferable and non transferable utility . Core and Shapley value.
Textbook Information
- F. Colombo, Introduzione alla Teoria dei giochi, Carocci, 2008
- R. Gibbons, Teoria dei giochi, Il Mulino, 1992
- F. Patrone, Decisori (razionali) interagenti, Edizioni Plus, 2006
- M. Li Calzi, Teoria dei Giochi, Edizioni Etas, 2010