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Symmetry and Economic Invariance: An Introduction by Ryuzo Sato,Rama V. Ramachandran Pdf
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.
Symmetry and Economic Invariance by Ryuzo Sato,Rama V. Ramachandran Pdf
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.
Theory of Technical Change and Economic Invariance by Ryuzo Sato Pdf
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.
Conservation Laws and Symmetry: Applications to Economics and Finance by Ryuzo Sato,Rama V. Ramachandran Pdf
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.
Economic Theory and Sustainable Development by Vincent Martinet Pdf
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.
Invariance Principles and the Structure of Technology by R. Sato,T. Nono Pdf
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.
Ranking Economic Performance and Efficiency in the Global Market: Emerging Research and Opportunities by Gussen, Benjamen Franklen Pdf
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.
Economic Theory, Dynamics and Markets by Takashi Negishi,Rama V. Ramachandran,Kazuo Mino Pdf
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.
Biased Technical Change and Economic Conservation Laws by Ryuzo Sato Pdf
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.
Nicely printed and bound proceedings of a major symposium contain 29 reviews of highly diverse developments in the world of symmetry, plus 14 rather briefer research papers. The variety of the topics treated and the authority of the contributors suggest that most physical theorists will find here so
Synthetic finance revolutionizes materialism such that we can now create wealth in the process of universally distributing it. While financial innovation in global capitalism provided the conditions for the 2008 financial crisis, it has also engineered a set of financial technologies with universal distributive potential. This book explains this possibility and demonstrates how it can be achieved through a rigorous ontological exposition of the radical, nomadic, distributive power of synthetic finance. It also illustrates that Gilles Deleuze is the heterodox political economist who best reveals its profound material capacities. This book articulates an innovative method for the study of finance, fundamentally revaluates political economy as a discipline and practice, and inaugurates a research project from which derivative methodologies and approaches to critical finance can evolve. Of Synthetic Finance actualizes a new kind of heterodox political economy called speculative materialism, and advocates a radical project of speculative materialist financial engineering. Both of these are predicated on the deployment of the latent, nomadic, monstrous capacities of synthetic finance to create and universally distribute risk and cash flow. This book is a must read for anyone interested in critical finance, the financial crisis and the future of political economy.
The Reconstruction of Economic Theory by Philip Mirowski Pdf
"The mandate given to the editor of the present volume was succinct and to the point: gather together some of the most recent attempts to remake economic theory at its most fundamental levels, and avoid the two debased brands of academic revolutions. Now, anyone would have realized that this would be a devilishly difficult task, more likely than not to backfire; but, in retrospect, the editor still marvels at the complacency with which he embarked on the enterprise. It was quite easy to identify the critics of conventional economics who had little more than criticism to offer; it was much more difficult to feel certain that he had actually stumbled upon a substantive divergence from the orthodoxy that appeared to promise further fruitful developments. ... Forewarned and forearmed, the prospective reader should then be equipped to judge for him- or herself whether truth in advertising has been further abused, or if something a little more interesting and entertaining is afoot."--Pages 1-2
Developments of International Trade Theory by Takashi Negishi Pdf
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.
An Empirical Investigation of Stock Markets by Shigeyuki Hamori Pdf
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.
Global Competition and Integration by Ryuzo Sato,Rama V. Ramachandran,Kazuo Mino Pdf
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.
