Introduction to Mathematical Economics

Introduction to Mathematical Economics by M.C. Kemp, Y. Kimura.

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...

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Bibliographic Details
Main Authors: Kemp, M.C (Author), Kimura, Y. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1978.
Edition:1st ed. 1978.
Series:Springer eBook Collection.
Subjects:
Economics.
Management science.
Game theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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