MATHEMATICAL ECONOMICS

Degree course: 
Corso di Second cycle degree in MATHEMATICS
Academyc year when starting the degree: 
2018/2019
Year: 
1
Academyc year when helding the course: 
2018/2019
Course type: 
Supplementary compulsory subjects
Credits: 
8
Period: 
First Semester
Standard lectures hours: 
64
Detail of lecture’s hours: 
Lesson (64 hours)
Requirements: 

A basic knowledge of Probability Theory

Final Examination: 
Orale

Verification of learning will consist of two parts:

1) A short written thesis about a chosen topic to be exposed to the class as a lecture.
2) A traditional oral exam, during which the student will have to show that she/he has acquired the basic notions and the proofs of the main theorems.

Assessment: 
Voto Finale

The objectives of the course are to give the student an introduction to the theory of games and its applications.
Since Game Theory focuses mainly on the notion of equilibrium, the student is expected to acquire the fundamental notions of equilibrium in the different contexts that Game Theory proposes, and which he knows how to apply them on an elementary level.

Mathematical Games and Rational Choice Theory.
Strategic Games, Nash Equilibria, Best Responses, Dominated Actions.
Symmetric Games.
Classical Oligopoly models: Bertrand and Cournot.
Coalition Games. Core of a Coalition Game.
Games with imperfect information.
Auction Theory
Strictly Competitive Games and Maxminimization.
Rationalizability.
Evolutive Equilibria.

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

Convenzionale

Lectures

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