Market Demand : An Analysis of Large Economies with Non-Convex Preferences

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 Preferences and Large Economies -- 3.1 Introduction -- 3.2 Preference relations -- 3.3 Spaces of preference relations -- 3.4 Large economies -- 4 Heuristic Remarks on Some Basic Concepts -- 4.1 Genericity -- 4.2 Stability -- 4.3 Equal distribution -- 4.4 The law of large numbers -- 5 The Parametric Approach -- 5.1 Introduction -- 5.2 Dispersion of tastes -- 5.3 Continuous mean demand -- 5.4 Differentiable mean demand -- 5.5 Concluding remarks -- 6 The Ergodic Approach -- 6.1 Introduction -- 6.2 G-dispersion -- 6.3 Continuous mean demand -- 6.4 Differentiable mean demand -- 6.5 Concluding remarks -- 7 Other Approaches -- 7.1 Dispersion of unit normals -- 7.2 Infinite dimensional linear spaces of preferences -- 7.3 Random individual demand -- 7.4 The generic approach -- 8 Mathematical Tools -- 8.1 Miscellany -- 8.2 Differential topology -- 8.3 Measure theory -- Notation -- References.