Mathematical methods for Economic analysis
The objective of these notes is to present succinctly some mathematical tools allowing to rigorously perform economic analyses.
The first chapter presents a way to prove the theory of comparative advantages with far less hypotheses than usually needed. The second chapter provides a solution for the centipede paradox in the case of infinite games, and this solution is used to illustrate phenomena related to money. The third chapter shows how to use graph theory to represent the market prices, and how this market representation can be used to prove economic theorems.