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Mathematical Systems Theory and Economics I/II

Proceeding of an International Summer School held in Varenna, Italy, June 1–12, 1967

  • Conference proceedings
  • © 1969

Overview

Editors:
  1. H. W. Kuhn

    1. Princeton University, Princeton, USA

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  2. G. P. Szegö

    1. University of Milano, Milano, ltaly

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 11/12)

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Table of contents (27 papers)

  1. Front Matter

    Pages N1-VIII
    Download chapter PDF

  2. Basic Theories

    1. Dynamical Systems

      • Nam P. Bhatia
      Pages 1-9

    2. Economic Equilibrium

      • Gerard Debreu
      Pages 11-22

    3. Control as Programming in General Normed Linear Spaces

      • Hubert Halkin, Lucien W. Neustadt
      Pages 23-40

    4. Introduction to the Algebraic Theory of Linear Dynamical Systems

      • R. E. Kalman
      Pages 41-65

    5. Duality in Mathematical Programming

      • Harold W. Kuhn
      Pages 67-91

    6. Mathematical Theory of General Systems and Some Economic Problems

      • Mihajlo D. Mesarovic
      Pages 93-116

    7. Convex Functions and Duality in Optimization Problems and Dynamics

      • R. T. Rockafellar
      Pages 117-141

  3. Optimal Control of Economic Systems

    1. Optimal Investment Policy

      • A. R. Dobell, Y. C. Ho
      Pages 143-187

    2. On the Inverse Optimal Problem

      • Mordecai Kurz
      Pages 189-201

    3. Dynamic Keynesian Economic Systems: Control and Identification

      • Lawrence Markus
      Pages 203-219

    4. On the Controllability of Decentralized Macroeconomic Systems: The Assignment Problem

      • Daniel McFadden
      Pages 221-239

    5. Applications of Pontryagin’s Maximum Principle to Economics

      • Karl Shell
      Pages 241-292
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Keywords

About this book

The International Summer School on Mathematical Systems Theory and Economics was held at the Villa Monastero in Varenna, Italy, from June 1 through June 12, 1967. The objective of this Summer School was to review the state of the art and the prospects for the application of the mathematical theory of systems to the study and the solution of economic problems. Particular emphasis was given to the use of the mathematical theory of control for the solution of problems in economics. It was felt that the publication of a volume collecting most of the lectures given at the school would show the current status of the application of these methods. The papers are organized into four sections arranged into two volumes: basic theories and optimal control of economic systems which appear in the first volume, and special mathematical problems and special applications which are contained in the second volume. Within each section the papers follow in alphabetical order by author. The seven papers on basic theories are a rather complete representative sample of the fundaments of general systems theory, of the theory of dynamical systems and the theory of control. The five papers on the application of optimal control to economic systems present a broad spectrum of applications.

Editors and Affiliations

  • Princeton University, Princeton, USA

    H. W. Kuhn

  • University of Milano, Milano, ltaly

    G. P. Szegö

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