比较经济静态分析COMPARATIVE STATICS ANALYSIS IN ECONOMICS 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线

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

This book is a self-contained introduction to comparative statics analysis which is appropriate for a first year PhD course in mathematics for economists. The demands that modern economic analysis 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 analysis with minimal distraction.

1. Mathematical Preliminaries

　1.1 Differentiable Functions

　　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 Constrained Optimization, Two Variables, One Constraint

　　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 Solutions

　3.1 Two Classes of Comparative Statics Problems

　3.2 Equilibrium Comparative Statics

　　Application 3.1

　3.3 Comparative Statics with Unconstrained Optimization

　　Application 3.2

　　Application 3.3

　3.4. Comparative Statics with Constrained 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 Unconstrained Optimization

　　Application 4.2

　　Application 4.3

　4.4 Comparative Statics with Constrained Optimization

　　Application 4.4

　 Application 4.5

　4.5 Second-Order Conditions 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 propositions. Comparative statics analysis facilitates the derivation of such propositions.This book is a self-contained introduction to comparative statics analysis which is appropriate for a first year PhD course in mathematics for economists. The demands that modern economic analysis 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 analysis with minimal distraction.