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  • I***N:9789810243661
  • 作者:暂无作者
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  • 出版时间:2000-12
  • 页数:135
  • 价格:172.20
  • 纸张:胶版纸
  • 装帧:精装
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内容简介:

As an empirical science, economics employs theoretical models to describe economic phenomena and processes. These models are then used to generate testable propositi***. Comparative statics ***ysis facilitates the derivation of such propositi***.

This book is a self-contained introduction to comparative statics ***ysis which is appropriate for a first year PhD course in mathematics for economists. The demands that modern economic ***ysis places upon the student renders an incremental approach to learning essential. This permits students' intuition to develop as mathematical tools are employed in problem solving. In this book, students learn comparative statics by doing comparative statics in progressively more sophisticated models. Repeated application of the basic technique allows the studentto gain competence in comparative statics ***ysis with minimal distraction.


书籍目录:

1. Mathematical Preliminaries

 1.1 Differentiable Functi***

  Example 1.1

 1.2 The Chain Rule

  Example 1.2

 1.3 Determinants

 1.4 Cramer's Rule

 1.5 Optimization,j5 R - R

 1.6 Optimization,j5 R2- R

  Example 1.3

 1.7 C***trained Optimization, Two Variables, One C***traint

  Example 1.4

2. The Methodology of Comparative Statics

 Example 2.1

 Example 2.2

 2.1 Comparative Statics and Empirical Testing

 2.2 Implicit Differentiation

 2.3 The Implicit Function Theorem (One Variable, One Parameter)..

  Example 2.3

  Example 2.4

 2.4 The Implicit Function Theorem (Two Variables, One Parameter)

  Example 2.5 .

 2.5 Summary of the Technique of Comparative Statics

3. Comparative Statics with Explicit Soluti***

 3.1 Two Classes of Comparative Statics Problems

 3.2 Equilibrium Comparative Statics

  Application 3.1

 3.3 Comparative Statics with Unc***trained Optimization

  Application 3.2

  Application 3.3

 3.4. Comparative Statics with C***trained Optimization

  Application 3.4

  Application 3.5

 Problems

4.Comparative Statics in General Function Models

 4.1. Introduction to General Function Models

 4.2. Equilibrium Comparative Statics

  Application 4.1

 4.3. Comparative Statics with Unc***trained Optimization

  Application 4.2

  Application 4.3

 4.4 Comparative Statics with C***trained Optimization

  Application 4.4

  Application 4.5

 4.5 Second-Order Conditi*** and the Implicit Function Theorem

 Problems

5.Comparative Statics Theorems for Parameterized

 Optimization Problems

 5.1 Introduction

  Application 5.1

 5.2 Conjugate Pairs Theorems

  Theorem 5-1A

  Theorem 5-1B

 ……

6.Introduction to Primal-Dual Analysis

Answers to Seleted Problems

Selected References

Index


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书籍介绍

As an empirical science, economics employs theoretical models to describe economic phenomena and processes. These models are then used to generate testable propositi***. Comparative statics ***ysis facilitates the derivation of such propositi***.This book is a self-contained introduction to comparative statics ***ysis which is appropriate for a first year PhD course in mathematics for economists. The demands that modern economic ***ysis places upon the student renders an incremental approach to learning essential. This permits students' intuition to develop as mathematical tools are employed in problem solving. In this book, students learn comparative statics by doing comparative statics in progressively more sophisticated models. Repeated application of the basic technique allows the student to gain competence in comparative statics ***ysis with minimal distraction.


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