Mathematical Systems Theory and Economics I/II: Proceeding of an International Summer School held in Varenna, Italy, June 1–12, 1967

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H.W. Kuhn, G.P. Szegö
Springer Science & Business Media, Apr 17, 2013 - Science - 487 pages
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.
 

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Contents

Basic Theories
2
Bhatia N P Case Western Reserve University Department of Mathematics
10
Convex Functions and Duality in Optimization Problems
117
Optimal Control of Economic Systems
189
Dynamic Keynesian Economic Systems Control and Identification
205
On the Controllability of Decentralized Macroeconomic Systems
221
Application of Pontriagins Maximum Principle to Economics
241
Special Mathematical Problems
293
Special Applications
405
Investigations of Organization of Production Processes with Tree
421
Optimum Control and Synthesis of Organizational Structure of Large
441
Optimal Accumulation in a Listian Model
457
Multilevel Approach to the Largescale Control Problem
481
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