Recent Developments in Variable Structure Systems, Economics and Biology
Recent Developments in Variable Structure Systems, Economics and Biology

Author: R.R. Mohler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 334

ISBN-13: 3642455093

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The seminar for which the proceedings are published here evolved from a cooperative research program on bilinear systems and applications to immunology at the Oregon State University and at the University of Rome. The topics include more general forms of variable structure systems which may be divided into categories of mathematical system theory, economic applications and biological applications. Throughout the seminar there was emphasis on the integration of theory and app- cation. In most cases, theoretical derivations are motivated by their need to solve practical problems. In reading the proceedings, it becomes apparent that bilinear systems, quadratic systems and more general variable structure or adaptive systems become natural models in many cases and excellent approximations in others. It is seen that linear systems have very limited use particularly in economics and biology. Variable structure systems are analyzed in terms of structure,volterra kernels, system modelling, parameter identification,- controllability and Lie algebra to mention a few. Certainly, it ia nbt possible to present a complete tre- ment of these numerous topics, but at the Same time the unifying power of the systems approach and variable structure systems is shown.

Current Catalog
Current Catalog

Author: National Library of Medicine (U.S.)

Publisher:

Published: 1979

Total Pages: 1564

ISBN-13:

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Includes subject section, name section, and 1968-1970, technical reports.

Selected Topics in Operations Research and Mathematical Economics
Selected Topics in Operations Research and Mathematical Economics

Author: G. Hammer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 479

ISBN-13: 3642455670

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Let eRN be the usual vector-space of real N-uples with the usual inner product denoted by (. ,. ). In this paper P is a nonempty compact polyhedral set of mN, f is a real-valued function defined on (RN continuously differentiable and fP is the line- ly constrained minimization problem stated as : min (f(x) I x € P) • For computing stationary points of problemtj) we propose a method which attempts to operate within the linear-simplex method structure. This method then appears as a same type of method as the convex-simplex method of Zangwill [6]. It is however, different and has the advantage of being less technical with regards to the Zangwill method. It has also a simple geometrical interpretation which makes it more under standable and more open to other improvements. Also in the case where f is convex an implementable line-search is proposed which is not the case in the Zangwill method. Moreover, if f(x) = (c,x) this method will coincide with the simplex method (this is also true in the case of the convex simplex method) i if f(x) = I Ixl 12 it will be almost the same as the algorithm given by Bazaraa, Goode, Rardin [2].

Economic Theory and International Trade in Natural Exhaustible Resources
Economic Theory and International Trade in Natural Exhaustible Resources

Author: Cees Withagen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 180

ISBN-13: 3642465587

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This study is concerned with the economic theory of exhaustible resources. My interest in exhaustible resources dates back several years when prof. dr. J. Cramer and prof. dr. C. von Weizsacker stimu lated me to direct my research, at the Faculty of Actuarial Science and Econometrics of the University of Amsterdam, to the exploitation of Dutch natural gas. This issue raised many theoretical problems, in which I got gradually more and more involved. I was lucky to find in prof. dr. H. Weddepohl a person prepared to listen patiently and to read and critisize my numerous attempts to solve these problems. The actual work on the present monograph started in 1982 at the Faculty of Philosophy and Social Sciences of the Eindhoven University of Technology, in the context of the program "Equilibrium and Dis equilibrium" of the "voorwaardelijke financiering" (universitary financing system). I wish to thank here my supervisors prof. dr. P. Ruys and prof. dr. H. Weddepohl for their comments on earlier drafts of this monograph. When looking back, I realize that their remarks and our dis cussions have led to notable improvements. Also the Internation~l Institute for Applied Systems Analysis (Laxenburg, Austria) has made a valuable contribution by offering me the opportunity to spend three months in its serene academic environment in the summer of 1983. Thanks also to the energy group of I. I. A. S. A. and the I. I. A. S. A. foundation Netherlands.

Variable Structure Systems with Application to Economics and Biology
Variable Structure Systems with Application to Economics and Biology

Author: R. R. Mohler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 330

ISBN-13: 3642474578

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The proceedings of the Second US-Italy Seminar on Variable Structure Systems is published in this volume. Like the first seminar, its conception evolved from common research interests on bilinear systems at the Istituto di Automatica of Rome University and at the Electrical and Computer Engineering Department of Oregon State University. Again, the seminar was focused on variable structure systems in general. In this case, however, emphasis is given to applications in biology and economics along with theoretical investi gations which are so necessary to establish a unified theory and to motivate further developments in these applications of social significance. By bringing together the talents of social and biological scientists with those of engineers and mathematicians from throughout Italy and the United States, the seminar was intended to yield a cross-pollination of significant results and a base for more meaningful future research. The editors are encouraged by the progress, with which they hope the reader will agree, is made in this direction. No pretense is made, however, that completely satisfactory integration of theore tical results and applications has been accomplished at this time. Among the more important conclusions which have resulted from this seminar are that bilinear and more general variable structure models arise in a natural manner from basic principles for certain biological and economic processes.

Introduction to the Theory of Economic Growth
Introduction to the Theory of Economic Growth

Author: R. Ramanathan

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 358

ISBN-13: 3642455417

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This book is an outgrowth of years of teaching and doing re search at the University of California, San Diego (UCSD), in the area of economic growth. Although there have been several books on this topic published in the last eight years, I have been dis satisfied with them for several reasons. First, books such as those by Wan, Burmeister and Dobell are uneven in their technical difficulty and, while they are excellent, are apparently difficult for first year graduate students and advanced undergraduates. Solow's expository book, on the other hand, is at the other ex treme. Furthermore, many of the books seem to be aimed at the authors' peers rather than the students. My primary objective in writing this book is to bridge this gap and to pitch, very appro priately I hope, at the level of a typical student enrolled in a beginning course in growth theory. Secondly, almost all the growth models in the literature can be recast in a single analyti cal framework. Although the various authors have not written so as to conform to any particular pattern, it -is the function of a textbook writer to identify such a pattern, if it exists, and pre sent the theory in that framework. Many authors make implicit as sumptions about their models which are either never specified or sometimes specified in footnotes.

The Measurement of the Economic Benefits of Infrastructure Services
The Measurement of the Economic Benefits of Infrastructure Services

Author: Walter E. Diewert

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 211

ISBN-13: 3642510221

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This research was supported by the World Bank and the Social Sciences and Humanities R~search Council of Canada. Neither institution is responsible for the views expressed in this paper. The author is indebted to V. Corbo, A. Haymer, Y. Kanemoto, K. Lee, K. Mera, Hal Varian and A. Walters for helpful comments and to Elizabeth Lambert, Shehnaz Motani', and Jeanette Leigh Paisley for excellent typing services. I would like to dedicate this book to my wife, Virginia. TABLE OF CONTENTS 1. Introduction . . . •. . ••. . •. ••. •••. . . . •. . . . . •. •. . . •. . . •. •. •. . •. . . •. ••. • 2. A Simple Producer Benefit Measure . . ••. •••. ••••. •••••••••••. ••••••. • 8 3. Willingness to P~v Functions and Marginal Cost Functions ••••••••••• 15 4. Approximate Benefit Measures 30 5. Problems with the Producer Benefit Measure ••••••••••••• ! ••••••••••• 41 5. 1. Static versus Dynamic Benefit Measures ••••••••••••••••••• 41 5. 2. The Problem of Endogenous Prices for Local Goons ••••••••• 48 5. 3. The Neglect of Consumer Benefits' ••••••••••••••••••••••••• 56 6. Alternative Approaches to Benefit Measurement •••••••••••••••••••••• 70 6. 1. The Questionnaire or Sample Survey Approach •••••••••••••• 70 6. 2. Ex Post Accounting Approaches •••••••••••••••••••••••••••• 72 6. 3. Engineering and Mathematical Programming Approaches •••••• 74 6. 4. The Applied General Equilibrium Modelling Approach ~ •••••• 75 6. 5. The Differential Approach •••••••••••••••••••••••••••••••• 77 6. 6. The Econometric Approach . . •••••••••. •. ••••••. •••••••••. •• 79 7.

Estimation of Simultaneous Equation Models with Error Components Structure
Estimation of Simultaneous Equation Models with Error Components Structure

Author: Jayalakshmi Krishnakumar

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 371

ISBN-13: 3642456472

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Economists can rarely perform controlled experiments to generate data. Existing information in the form of real-life observations simply has to be utilized in the best possible way. Given this, it is advantageous to make use of the increasing availability and accessibility of combinations of time-series and cross-sectional data in the estimation of economic models. But such data call for a new methodology of estimation and hence for the development of new econometric models. This book proposes one such new model which introduces error components in a system of simultaneous equations to take into account the temporal and cross-sectional heterogeneity of panel data. After a substantial survey of panel data models, the newly proposed model is presented in detail and indirect estimations, full information and limited information estimations, and estimations with and without the assumption of normal distribution errors. These estimation methods are then applied using a computer to estimate a model of residential electricity demand using data on American households. The results are analysed both from an economic and from a statistical point of view.