Introduction to Mathematical Economics
Our objectives may be briefly stated. They are two. First, we have sought to provide a compact and digestible exposition of some sub-branches of mathematics which are of interest to economists but which are underplayed in mathematical texts and dispersed in the journal literature. Second, we have so...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1978, 1978
|
| Edition: | 1st ed. 1978 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Linear Inequalities
- 1 Some Fundamental Theorems
- 2 Linear Programming and Matrix Games
- 3 Convex Sets and Convex Cones
- 4 Nonlinear Programming
- 2 Nonnegative Matrices
- 1 The Perron-Frobenius Theorem
- 2 Power-Nonnegative Matrices
- 3 Some Special Matrices
- 1 P-, NP-, PN-, and Semi-PN Matrices
- 2 Fundamental Properties of P-, N-, PN-, and NP Matrices
- 3 Fundamental Properties of Semi-PN Matrices
- 4 Matrices with the Minkowski or Metzler Property
- 4 Stability Analysis of Some Dynamic Systems
- 1 Systems of Linear Differential Equations: Solutions, Stability, and Saddle-Point Property
- 2 Systems of Linear tâtonnement Processes
- 3 An Existence Theorem for Systems of Ordinary Differential Equations
- 4 Liapunov’s Stability Theorems for Systems of Ordinary Differential Equations
- 5 Stability Theorems for Systems of Difference Equations
- 5 Neoclassical Economies—Statics
- 1 Neoclassical Technologies
- 2 Mapping from Factor-Rentals and Primary-Factor Endowments to Commodity Prices and Outputs
- 3 Mapping from Commodity Prices and Own-Rates of Return to Primary-Factor Rentals
- 4 Mapping from Commodity Prices and Own-Rates of Return to Gross and Net Outputs
- 6 Neoclassical Economies—Dynamics
- 1 Introduction
- 2 Stability of Market Equilibrium
- 3 A Dynamic Heckscher-Ohlin Model
- Appendix A
- Appendix B
- References
- Name Index
- List of Symbols