Dettagli sull'Insegnamento per l'A.A. 2015/2016

Prerequisiti

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.

Obiettivi

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

Sillabo

• 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

Descrittori di Dublino

Alla fine del corso, lo studente dovrebbe

Aggiornamenti alla pagina del corso

• A.A. 2014/2015
• A.A. 2015/2016
• A.A. 2016/2017
• A.A. 2017/2018
• A.A. 2018/2019
• A.A. 2019/2020