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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nagata, Ryo
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2004.
Colección:Series on Mathematical Economics & Game Theory.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Theory of Regular Economies. 
260 |a Singapore :  |b World Scientific Publishing Company,  |c 2004. 
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490 1 |a Series on Mathematical Economics & Game Theory 
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520 |a 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 to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the. 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
504 |a Includes bibliographical references and index. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Economics  |x Methodology. 
650 0 |a Economics, Mathematical. 
650 6 |a Économie politique  |x Méthodologie. 
650 7 |a Economics, Mathematical  |2 fast 
650 7 |a Economics  |x Methodology  |2 fast 
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