The Stability of a Macroeconomic System with Quantity Constraints: Lecture Notes in Economics and Mathematical Systems, cartea 211

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 and optimization.- 2.3. Definitions and properties concerning stability.- 2.4. Stability of piecewise differentiable systems.- 3. Static Model.- 3.1. Introduction.- 3.2. Description of the basic model.- 3.3. Voluntary trades.- 3.4. Properties of demand and supply functions.- 3.5. Non-Walrasian Equilibrium states.- 3.6. Locations in the parameter space.- 3.7. Extensions.- Appendix: Proofs with respect to Sections 3.2-3.4.- 4. Dynamic Model.- 4.1. Introduction.- 4.2. Formulation of a dynamic system.- 4.3. Analysis of the adjustment functions.- 4.4. Walras Equilibria in the dynamic model.- 4.5. Locations in the parameter space.- 4.6. The BGM-model.- 4.7. Extensions.- 5. Stability Properties of the Different Types of Equilibria.- 5.1. Possible types of equilibria in the dynamic model.- 5.2. Walras Equilibria in IR2.- 5.3. Stability of other equilibria in IR2.- 5.4. Walras Equilibria in IR3.- 5.5. Stability of other equilibria in IR3.- 6. Conclusions.- 6.1. General concluding remarks.- 6.2. Conclusions concerning stability.- 6.3. Epilogue.- List of Symbols.- List of Assumptions.- References.