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Theory of Regular Economies.
This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2004.
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| Colección: | Series on Mathematical Economics & Game Theory.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Contents
- Preface
- Introduction
- Part 1 Foundations of Regular Economies
- 1. What Is a Regular Economy?
- 1.1 Mathematical Preliminaries
- 1.1.1 Manifolds and Tangent Spaces
- 1.1.2 Differentiable Maps and Their Derivatives
- 1.1.3 Regular Values
- 1.2 Economical Analysis 1.2.1 Basic Model
- 1.2.2 The Space of Economies
- 1.2.3 Regular Economies
- 2. Regular Economies and Genericity
- 2.1 Mathematical Preliminaries
- 2.1.1 Preimage Theorem
- 2.1.2 Lebesgue Measure Zero
- 2.1.3 Sard's Theorem
- 2.1.4 Genericity 2.2 Economical Analysis
- 2.2.1 Regular Economies and Genericity
- 2.2.2 Local Uniqueness of Equilibria as a Generic Property
- 2.2.3 Finiteness of Equilibria as a Generic Property
- 3. Formalization of Regular Economies
- 3.1 Mathematical Preliminaries
- 3.1.1 Fibre Bundles 3.1.2 Vector Bundles
- 3.1.3 Family of Maps
- 3.2 Economical Analysis
- 3.2.1 Equilibrium Manifold and Regular Economies
- 3.2.2 Local Uniqueness and Finiteness of Equilibria in the General Formalization
- 3.2.3 Dependence of Equilibria on Regular Economies in the General Formalization 3.2.4 Specific Characterization of Regular Economies in the General Formalization
- 4. The Number of Equilibria in Regular Economies
- 4.1 Mathematical Preliminaries
- 4.1.1 Modulo 2 Degree