The objective of this course is to present some mathematics tools and results of game theory with applications, in economics, learning, operational research or biology.
The game theory aims to analyse strategic interaction situations where several entities (agents, populations, firms, automatons) have mututally affecting features (actions, difficulties, price, codes): features of ones affect the results of others.
This course is organized around some profound and abstract mathematical results upon which rely game theory. We shall study several models to introduce different strategic interactions and the way we can study them with the results we should have seen.