Download or read book Symmetry and Economic Invariance An Introduction written by Ryuzo Sato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry and Economic Invariance: An Introduction explores how symmetry and invariance of economic models can provide insights into their properties. While the professional economist is nowadays adept at many of the mathematical techniques used in static and dynamic optimization models, group theory is still not among his or her repertoire of tools. The authors aim to show that group theoretic methods form a natural extension of the techniques commonly used in economics and that they can be easily mastered.

Download or read book Symmetry and Economic Invariance written by Ryuzo Sato and published by Springer Science & Business Media. This book was released on 2013-12-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry and Economic Invariance (second enhanced edition) explores how the symmetry and invariance of economic models can provide insights into their properties. Although the professional economist of today is adept at many of the mathematical techniques used in static and dynamic optimization models, group theory is still not among his or her repertoire of tools. The authors aim to show that group theoretic methods form a natural extension of the techniques commonly used in economics and that they can be easily mastered. Part I provides an introduction that minimizes prerequisites including prior knowledge of group theory. Part II discusses recent developments in the field.

Download or read book Invariance Principles and the Structure of Technology written by R. Sato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Lie groups has proven to be a most powerful analytical tool in many areas of modern scientific endeavors. It was only a few years ago that economists discovered the usefulness of this approach in their study of the frontiers of modern economic theory. These frontiers include the areas of technical change and productivity, technology and preference, economic conservation laws, comparative statics and integrability conditions, index number problems, and the general theory of ~ observable market behavior (Sato [1980, 1981], Nono [1971], Sato and N~no [1983], Russell [1983]). 1 In Nono [1971] and Sa to [1981, Chapter 4] the concept of "G-neutral" (group neutral) technical change was first introduced as a natural extension of the well-known concepts of Hicks, Harrod, Solow and Sato-Beckmann-Rose neutrality. The present monograph contains a further extension of the G-neutral technical change to the case of non-constant-returns-to-scale technology and to the case of multiple factor inputs. The methodology of total productivity estimation by means of Lie group transformations is also developed in this monograph. We would like to express our sincere thanks to many individuals notably to Professor M. J. Beckmann, Professor F. Mimura, Professor G. Suzawa, T. Mitchell, K. Mino and P. Calem, for their numerous contributions at various stages of this work. We are also grateful to Marion Wathey for her usual superb typing of this difficult manuscript. Providence, R. I. , U. S. A.

Download or read book Theory of Technical Change and Economic Invariance written by Ryuzo Sato and published by Academic Press. This book was released on 2014-05-10 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Technical Change and Economic Invariance: Application of Lie Groups presents the economic invariance problems observable behavior under general transformations such as taste change or technical change. This book covers a variety of topics in economic theory, ranging from the analysis of production functions to the general recoverability problem of optimal dynamic behavior. Organized into nine chapters, this book begins with an overview of the theory of observable behavior by analyzing the invariant relationships among economic variables. This text then examines the Lie group theory which provides one of the most efficient methods of studying invariance properties. Other chapters consider the analysis of exogenous technical change, a process partly due to dynamic market forces of supply and demand. This book discusses as well the topics closely related to parametric changes under Lie groups and related transformations. The final chapter deals with mathematical foundations of the theory of observable market behavior. This book is a valuable resource for economists.

Download or read book Economic Theory Dynamics and Markets written by Takashi Negishi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Theory, Dynamics, and Markets. The collection of essays in honor of Ryuzo Sato, written by his colleagues and students, covers the many fields of economic theory and policy to which he has contributed. The first section pays tribute to his contributions to mathematical economics and economic theory. Ryuzo Sato is known for his work in growth theory and technical progress, and the second section has a number of papers on macroeconomics and dynamics. The third section has a number of papers on financial markets and their functioning in Japan and the United States. The next section examines various aspects of the economics of firms and industry. Ryuzo Sato has been very involved in analyzing the economic and business relations between Japan and the United States, and the last section is devoted to comparative analysis of economic systems.

Download or read book Economic Theory and Sustainable Development written by Vincent Martinet and published by Routledge. This book was released on 2012-05-23 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is development sustainable? When addressing the sustainability issue, decision-makers are faced with two challenges: taking into account conflicting issues, such as economic development and environmental preservation, while also ensuring intergenerational equity. Tackling these challenges amounts to deciding what should be bequeathed to future generations, especially in terms of natural resources.

Download or read book Ranking Economic Performance and Efficiency in the Global Market Emerging Research and Opportunities written by Gussen, Benjamen Franklen and published by IGI Global. This book was released on 2017-08-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are numerous determinants that drive and influence economic efficiency in contemporary nations. Critical insights can be gained from developing analytical models to understand the economies of the world. Ranking Economic Performance and Efficiency in the Global Market: Emerging Research and Opportunities is an innovative source of scholarly information that discusses world rankings of modern national economies. Including a range of topics such as geopolitics, sovereignty, and jurisdictional considerations, this book is ideally designed for academics, researchers, professionals, and students interested in the relevant knowledge that can be extracted from the determinants of economic efficiency.

Download or read book Conservation Laws and Symmetry Applications to Economics and Finance written by Ryuzo Sato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation. Classical analysis is shown to provide a foundation for the study of geometry while geometrical ideas lead to analytical concepts of intrinsic beauty. Arching over many subdisciplines of mathematics and branching out in applications to every quantitative science, these methods are, notes the Russian mathematician A.T. Fomenko, in tune with the Renais sance traditions. Economists and finance theorists are already familiar with some aspects of this synthetic tradition. Bifurcation and catastrophe theo ries have been used to analyze the instability of economic models. Differential topology provided useful techniques for deriving results in general equilibrium analysis. But they are less aware of the central role that Felix Klein and Sophus Lie gave to group theory in the study of geometrical systems. Lie went on to show that the special methods used in solving differential equations can be classified through the study of the invariance of these equations under a continuous group of transformations. Mathematicians and physicists later recognized the relation between Lie's work on differential equations and symme try and, combining the visions of Hamilton, Lie, Klein and Noether, embarked on a research program whose vitality is attested by the innumerable books and articles written by them as well as by biolo gists, chemists and philosophers.

Download or read book Probabilistic Symmetries and Invariance Principles written by Olav Kallenberg and published by Springer Science & Business Media. This book was released on 2005-07-27 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive treatment of the three basic symmetries of probability theory—contractability, exchangeability, and rotatability—defined as invariance in distribution under contractions, permutations, and rotations. Originating with the pioneering work of de Finetti from the 1930's, the theory has evolved into a unique body of deep, beautiful, and often surprising results, comprising the basic representations and invariance properties in one and several dimensions, and exhibiting some unexpected links between the various symmetries as well as to many other areas of modern probability. Most chapters require only some basic, graduate level probability theory, and should be accessible to any serious researchers and graduate students in probability and statistics. Parts of the book may also be of interest to pure and applied mathematicians in other areas. The exposition is formally self-contained, with detailed references provided for any deeper facts from real analysis or probability used in the book. Olav Kallenberg received his Ph.D. in 1972 from Chalmers University in Gothenburg, Sweden. After teaching for many years at Swedish universities, he moved in 1985 to the US, where he is currently Professor of Mathematics at Auburn University. He is well known for his previous books Random Measures (4th edition, 1986) and Foundations of Modern Probability (2nd edition, 2002) and for numerous research papers in all areas of probability. In 1977, he was the second recipient ever of the prestigious Rollo Davidson Prize from Cambridge University. In 1991–94, he served as the Editor in Chief of Probability Theory and Related Fields. Professor Kallenberg is an elected fellow of the Institute of Mathematical Statistics.

Download or read book Advances in Econometrics Operational Research Data Science and Actuarial Studies written by M. Kenan Terzioğlu and published by Springer Nature. This book was released on 2022-01-17 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents techniques and theories drawn from mathematics, statistics, computer science, and information science to analyze problems in business, economics, finance, insurance, and related fields. The authors present proposals for solutions to common problems in related fields. To this end, they are showing the use of mathematical, statistical, and actuarial modeling, and concepts from data science to construct and apply appropriate models with real-life data, and employ the design and implementation of computer algorithms to evaluate decision-making processes. This book is unique as it associates data science - data-scientists coming from different backgrounds - with some basic and advanced concepts and tools used in econometrics, operational research, and actuarial sciences. It, therefore, is a must-read for scholars, students, and practitioners interested in a better understanding of the techniques and theories of these fields.

Download or read book Biased Technical Change and Economic Conservation Laws written by Ryuzo Sato and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Productivity of inputs is an important determinant of the competitiveness of firms in national and international markets. Productivity growth arises from deliberate decisions to innovate but the technological opportunities could be such that different inputs would have different rates of growth. Previous literature has mostly concentrated on labor productivity but empirical studies indicate that productivity of capital is also increasing. One of the objectives of this book is to examine the difference or bias in the productivity growth of the two inputs. In this book, application of this general approach to study of biased technical change is developed and new empirical results presented for both macroeconomies and microeconomic firms.

Download or read book Economic Foundations of Symmetric Programming written by Quirino Paris and published by Cambridge University Press. This book was released on 2010-11-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for symmetry is part of the fundamental scientific paradigm in mathematics and physics. Can this be valid also for economics? This book represents an attempt to explore this possibility. The behavior of price-taking producers, monopolists, monopsonists, sectoral market equilibria, behavior under risk and uncertainty, and two-person zero- and non-zero-sum games are analyzed and discussed under the unifying structure called the linear complementarity problem. Furthermore, the equilibrium problem allows for the relaxation of often-stated but unnecessary assumptions. This unifying approach offers the advantage of a better understanding of the structure of economic models. It also introduces the simplest and most elegant algorithm for solving a wide class of problems.

Download or read book Journal of Economic Literature written by and published by . This book was released on 1998 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symmetry And Complexity The Spirit And Beauty Of Nonlinear Science written by Klaus Mainzer and published by World Scientific. This book was released on 2005-06-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.

Download or read book Developments of International Trade Theory written by Takashi Negishi and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments of International Trade Theory offers the life-long reflections of a distinguished Japanese scholar who pioneered the application of general equilibrium theory to international trade. Written in a style that makes it easily accessible to scholars and students, the book combines standard topics on international trade with a discussion of the evolution of the theory and some recent discussions on topics like immiserizing growth. This book is presented in two parts. Part I examines the historical progression of international trade theory. Part II addresses the modern theory and recent developments of international trade. This book offers a comprehensive evaluation of the non-monetary problems of international economics.

Download or read book Global Competition and Integration written by Ryuzo Sato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Competition and Integration offers varied perspectives on the changing international economy. The book is divided into four main sections covering world trade and competition, innovation and growth, financial markets and globalization, and regulation, distribution, and the role of government.

Download or read book An Empirical Investigation of Stock Markets written by Shigeyuki Hamori and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Empirical Investigation of Stock Markets: The CCF Approach attempts to make an empirical contribution to the literature on the movements of stock prices in major economies, i.e. Germany, Japan, the UK and the USA. Specifically, the cross-correlation function (CCF) approach is used to analyze the stock market. This volume provides some empirical evidence regarding the economic linkages among a group of different countries. Chapter 2 and Chapter 3 analyze the international linkage of stock prices among Germany, Japan, the UK and the USA. Chapter 2 applies the standard approach, whereas Chapter 3 uses the CCF approach. Chapter 4 analyzes the relationship between stock prices and exchange rates. Chapter 5 analyzes the relationship among stock prices, exchange rates, and real economic activities. Chapter 6 summarizes the main results obtained in each chapter and comments on the possible directions of future research.