Mathematics for decision making
Additional Info
- ECTS credits: 6
- University: University of L'Aquila
- Semester: 3
- Lecturer 1: Massimiliano Giuli
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Objectives:
The goal of this course is to describe some mathematical models of strategic interaction among rational decision-makers.
We provide knowledge of the main mathematical tools of nonlinear and set-valued analysis which are crucial for studying the existence and the stability of the solutions of particular equilibrium problems such as variational and quasi-variational inequalities and non-cooperative games. -
Topics:
We cover aspects of pure mathematics such as continuity notions and fixed point theorems for set-valued maps (Browder, Kakutani, Fan-Glicksberg) and we study the the existence of solutions for problems arising in behavioral and social science, among which Nash equilibria and Ky Fan minimax inequalities.
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