1. Introduction -- 1.1. Scope -- 1.2. Relevant economic notions -- 1.3. Walras Equilibria -- 1.4. Non-Walrasian Equilibria -- 1.5. Dynamics and Stability -- 1.6. Outline -- 2. Mathematical Results in Optimization and Stability -- 2.1. Introduction and notation -- 2.2. Some concepts in analysis...