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Course Details for A.Y. 2019/2020

The information on this page refer to the academic year 2019/2020. Therefore, several links are not available and data may be incomplete. To read the current information on the course, if it is still available, go to the university course catalogue . To read information relating other academic years, use the list at the bottom of this page.

A. Year:

2019/2020

Name:

Mathematical Economics and Finance / Mathematical Economics and Finance

Type:

Course

Basic information

Code:

DT0110

Sector:

SECS-S/06

Credits:

: Master Degree in Mathematics 6 CFU (c)
: Master Degree in Mathematical Engineering 6 CFU (d)
: Bachelor Degree in Mathematics 6 CFU (c)

Term:

1^st semester

Degree(s):

Bachelor Degree in Mathematics 3^rd anno curriculum Generale Elective
Master Degree in Mathematics 2^nd anno curriculum Generale Elective
Master Degree in Mathematical Engineering 2^nd anno curriculum Comune Elective

Language:

English

Teacher(s):

Massimiliano Giuli

Course Objectives

I present and organize the analytical foundations underlying modern economics and finance.

Course Content

Sperner’s lemma
The Knaster-Kuratowski-Mazurkiewicz lemma
Brouwer's fixed point theorem
Variational inequalities and equilibrium problems
Generalized monotonicity and convexity
Brézis-Nirenberg-Stampacchia theorem and Fan's minimax principle
Continuity of correspondences
Browder, Kakutani and Fan-Glicksberg fixed point theorems
Gale-Nikaido-Debreu theorem
Nash equilibrium of games and abstract economies
Walrasian equilibrium of an economy
An application to traffic network

Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

Know the fundamental fixed point theorems for set-valued maps and the basic existence results for equilibrium problems and variational inequalities.
Explain some interconnections among these various results.
Apply this analysis to game and economic theory

Prerequisites and Learning Activities

I assume familiarity with vector and topological spaces, and with the standard model of the real numbers. I assume that you know the basic facts about metric spaces, normed and seminormerd spaces, Banach and Hilbert spaces.

Assessment Methods and Criteria

Written and oral

Course page updates

This course page is available (with possible updates) also for the following academic years:

To read the current information on this course, if it is still available, go to the university course catalogue .

Course information last updated on: 19 gennaio 2018, 17:31

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