Generalized Convexity And Fractional Programming With Economic Application

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Generalized Convexity And Fractional Programming With Economic Applications

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Author : Alberto Cambini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Generalized Convexity And Fractional Programming With Economic Applications written by Alberto Cambini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Generalizations of convex functions have been used in a variety of fields such as economics. business administration. engineering. statistics and applied sciences.· In 1949 de Finetti introduced one of the fundamental of generalized convex functions characterized by convex level sets which are now known as quasiconvex functions. Since then numerous types of generalized convex functions have been defined in accordance with the need of particular applications.· In each case such functions preserve soine of the valuable properties of a convex function. In addition to generalized convex functions this volume deals with fractional programs. These are constrained optimization problems which in the objective function involve one or several ratios. Such functions are often generalized convex. Fractional programs arise in management science. economics and numerical mathematics for example. In order to promote the circulation and development of research in this field. an international workshop on "Generalized Concavity. Fractional Programming and Economic Applications" was held at the University of Pisa. Italy. May 30 - June 1. 1988. Following conferences on similar topics in Vancouver. Canada in 1980 and in Canton. USA in 1986. it was the first such conference organized in Europe. It brought together 70 scientists from 11 countries. Organizers were Professor A. Cambini. University of Pisa. Professor E. Castagnoli. Bocconi University. Milano. Professor L. Martein. University of Pisa. Professor P. Mazzoleni. University of Verona and Professor S. Schaible. University of California. Riverside.

Generalized Convexity And Optimization

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Author : Alberto Cambini
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-14

Generalized Convexity And Optimization written by Alberto Cambini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-14 with Mathematics categories.

The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.

Generalized Convexity And Fractional Programming With Economic Applications

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Author :
language : en
Publisher:
Release Date : 1990

Generalized Convexity And Fractional Programming With Economic Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.

Generalized Convexity And Fractional Programming With Economic Applications

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Author : Alberto Cambini
language : en
Publisher: Springer
Release Date : 2012-03-14

Generalized Convexity And Fractional Programming With Economic Applications written by Alberto Cambini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-14 with Mathematics categories.

Generalizations of convex functions have been used in a variety of fields such as economics. business administration. engineering. statistics and applied sciences.· In 1949 de Finetti introduced one of the fundamental of generalized convex functions characterized by convex level sets which are now known as quasiconvex functions. Since then numerous types of generalized convex functions have been defined in accordance with the need of particular applications.· In each case such functions preserve soine of the valuable properties of a convex function. In addition to generalized convex functions this volume deals with fractional programs. These are constrained optimization problems which in the objective function involve one or several ratios. Such functions are often generalized convex. Fractional programs arise in management science. economics and numerical mathematics for example. In order to promote the circulation and development of research in this field. an international workshop on "Generalized Concavity. Fractional Programming and Economic Applications" was held at the University of Pisa. Italy. May 30 - June 1. 1988. Following conferences on similar topics in Vancouver. Canada in 1980 and in Canton. USA in 1986. it was the first such conference organized in Europe. It brought together 70 scientists from 11 countries. Organizers were Professor A. Cambini. University of Pisa. Professor E. Castagnoli. Bocconi University. Milano. Professor L. Martein. University of Pisa. Professor P. Mazzoleni. University of Verona and Professor S. Schaible. University of California. Riverside.

Generalized Convexity Generalized Monotonicity Recent Results

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Author : Jean-Pierre Crouzeix
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Generalized Convexity Generalized Monotonicity Recent Results written by Jean-Pierre Crouzeix and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

A function is convex if its epigraph is convex. This geometrical structure has very strong implications in terms of continuity and differentiability. Separation theorems lead to optimality conditions and duality for convex problems. A function is quasiconvex if its lower level sets are convex. Here again, the geo metrical structure of the level sets implies some continuity and differentiability properties for quasiconvex functions. Optimality conditions and duality can be derived for optimization problems involving such functions as well. Over a period of about fifty years, quasiconvex and other generalized convex functions have been considered in a variety of fields including economies, man agement science, engineering, probability and applied sciences in accordance with the need of particular applications. During the last twenty-five years, an increase of research activities in this field has been witnessed. More recently generalized monotonicity of maps has been studied. It relates to generalized convexity off unctions as monotonicity relates to convexity. Generalized monotonicity plays a role in variational inequality problems, complementarity problems and more generally, in equilibrium prob lems.

Generalized Convexity And Fractional Programming With Economic Application

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Author : Alberto Cambini
language : en
Publisher:
Release Date : 1990

Generalized Convexity And Fractional Programming With Economic Application written by Alberto Cambini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.

Handbook Of Global Optimization

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Author : R. Horst
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11

Handbook Of Global Optimization written by R. Horst and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.

Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.

A Mathematical Theory Of Hints

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Author : Juerg Kohlas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

A Mathematical Theory Of Hints written by Juerg Kohlas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Business & Economics categories.

An approach to the modeling of and the reasoning under uncertainty. The book develops the Dempster-Shafer Theory with regard to the reliability of reasoning with uncertain arguments. Of particular interest here is the development of a new synthesis and the integration of logic and probability theory. The reader benefits from a new approach to uncertainty modeling which extends classical probability theory.

Multiple Criteria Optimization

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Author : Xavier Gandibleux
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11

Multiple Criteria Optimization written by Xavier Gandibleux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Business & Economics categories.

The generalized area of multiple criteria decision making (MCDM) can be defined as the body of methods and procedures by which the concern for multiple conflicting criteria can be formally incorporated into the analytical process. MCDM consists mostly of two branches, multiple criteria optimization and multi-criteria decision analysis (MCDA). While MCDA is typically concerned with multiple criteria problems that have a small number of alternatives often in an environment of uncertainty (location of an airport, type of drug rehabilitation program), multiple criteria optimization is typically directed at problems formulated within a mathematical programming framework, but with a stack of objectives instead of just one (river basin management, engineering component design, product distribution). It is about the most modern treatment of multiple criteria optimization that this book is concerned. I look at this book as a nicely organized and well-rounded presentation of what I view as ”new wave” topics in multiple criteria optimization. Looking back to the origins of MCDM, most people agree that it was not until about the early 1970s that multiple criteria optimization c- gealed as a field. At this time, and for about the following fifteen years, the focus was on theories of multiple objective linear programming that subsume conventional (single criterion) linear programming, algorithms for characterizing the efficient set, theoretical vector-maximum dev- opments, and interactive procedures.

Money Inflation And Capital Formation

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Author : Leopold von Thadden
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Money Inflation And Capital Formation written by Leopold von Thadden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

This book is a slightly revised version of my doctoral thesis which I wrote during my time as an assistant at the Faculty of Economics of the University of Magdeburg. I am grateful that I had the opportunity to write my the sis in the stimulating atmosphere of this young and lively faculty. lowe a great amount of gratitude to my supervisor Prof. G. Schwodiauer who con stantly encouraged my work and helped to improve it in many discussions. I also would like to thank Prof. K-H. Paque and Prof. P. Flaschel who, as members of my doctoral committee, commented on various details of this study in a very constructive manner. At various stages of my work I received helpful comments from many colleagues of mine, in particular T. Konig and A. Wohrmann. However, it goes without saying that I retain full responsi bility for all remaining errors. Contents Introduction 1 I Money, inflation, and capital formation in the long run: general remarks 5 1 Summary of the literature: theoretical aspects 7 2 Summary of the literature: empirical aspects 19 3 Further reflections on money 29 II Money, inflation, and capital formation: the perspective of overlapping generations models 43 4 The Diamond model with money as single outside asset 45 4. 1 The model. . . . . . . . 46 4. 2 Equilibrium conditions. 51 4. 3 Policy effects 58 4. 4 Discussion. 61 4. 5 Appendix . 63 5 Variation 1: Imperfect credit markets and asymmetric information 65 5. 1 The model. . . . . . . .