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ECONOMIA MATEMATICA

Degree course: 
Corso di Second cycle degree in PHYSICS
Academic year when starting the degree: 
2016/2017
Year: 
1
Academic year in which the course will be held: 
2016/2017
Course type: 
Supplementary compulsory subjects
Credits: 
8
Period: 
First Semester
Standard lectures hours: 
80
Detail of lecture’s hours: 
Lesson (80 hours)
Requirements: 

Basic notions of Probability Theory

Final Examination: 
Orale
Assessment: 
Voto Finale

Contenuti e programma del corso
Fundaments of Game Theory
Tipologia delle attività didattiche
Lectures

Mathematical Games. Rational choice theory. Strategic Games.
Nash Equilibria. Best response functions. Dominated actions.
Symmetric Games.
Examples.
Classical oligopoly models: the Cournot Model and the Bertram model.
Von Neumann-Morgenstern preferences and Mixed Strategy Games.
Extended games with perfect information. Strategies and subgames. Examples and illustrations.
Coalition games and kernels.
Games with imperfect information. Bayesian Games and extended games. Examples and illustrations. Auctions.
Zero sum games and maximization. Rationalizability. Evolutionary equilibria.

Martin J. Osborne. An Introduction to Game Theory.
Stephen Schecter, Herbert Gintis. Game Theory in Action: An Introduction to Classical and Evolutionary Models