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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 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.
书籍目录:
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.
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