1. The Economic Framework -- 2. Introduction to the Mathematics -- 3. Differentiable Manifolds and Mappings, Tangents, Vectorfields -- 4. Regular Equilibria. A First Approach -- 5. Scarf’s Example -- 6. Excess Demand Functions -- 7. Debreu’s Theorem on the Finiteness of the Number of...

1 Demand and Equilibria -- 1.1 Introduction -- 1.2 Individual demand -- 1.3 Market demand -- 1.4 Equilibria -- 1.5 Concluding remarks -- 2 Smoothing Demand by Aggregation -- 2.1 Many different consumers -- 2.2 Convexifying by averaging -- 2.3 Concluding remarks on diversification -- 3 Spaces of...