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Symmetry And Economic Invariance
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Book Synopsis Symmetry and Economic Invariance: An Introduction by : Ryuzo Sato
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.
Book Synopsis Symmetry and Economic Invariance by : Ryuzo Sato
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.
Book Synopsis Probabilistic Symmetries and Invariance Principles by : Olav Kallenberg
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.
Book Synopsis Conservation Laws and Symmetry: Applications to Economics and Finance by : Ryuzo Sato
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.
Book Synopsis Theory of Technical Change and Economic Invariance by : Ryuzo Sato
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.
Book Synopsis The Theory of Symmetry Actions in Quantum Mechanics by : Gianni Cassinelli
Download or read book The Theory of Symmetry Actions in Quantum Mechanics written by Gianni Cassinelli and published by Springer Science & Business Media. This book was released on 2004-10-27 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.
Book Synopsis Handbook of Applied Economic Statistics by : Aman Ullah
Download or read book Handbook of Applied Economic Statistics written by Aman Ullah and published by CRC Press. This book was released on 1998-02-03 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines theoretical issues, as well as practical developments in statistical inference related to econometric models and analysis. This work offers discussions on such areas as the function of statistics in aggregation, income inequality, poverty, health, spatial econometrics, panel and survey data, bootstrapping and time series.
Book Synopsis An Empirical Investigation of Stock Markets by : Shigeyuki Hamori
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.
Book Synopsis Global Competition and Integration by : Ryuzo Sato
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.
Book Synopsis Government Deficit and Fiscal Reform in Japan by : Toshihiro Ihori
Download or read book Government Deficit and Fiscal Reform in Japan written by Toshihiro Ihori and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Government Deficit And Fiscal Reform In Japan presents a theoretical-based comprehensive analysis of economic consequences of government deficits and fiscal reform in Japan. Particular emphasis is directed at developing tools that can be applied to theoretically and empirically clarify essential economic concerns in Japan such as generational incidence of fiscal reform and a growing dependence on government bonds for covering financial deficits. This book evaluates the recent movement of Japanese fiscal reform and government deficit. The authors first summarize fiscal policy in 1990's. Then, they move on to investigate the macroeconomic impact of government dept and the sustainability problem, and then discuss benefits and costs of public investment. The political aspect of fiscal reconstruction movements in Japan is also examined. Finally, the authors investigate the behavior of central government's control on local governments' debt issuance and its effect on the real activities of local governments. This book points out that the long-run structural fiscal reform is more important than the short-run Keynesian fiscal policy in Japan.
Book Synopsis Positive Feedback Economies by : E. Agliardi
Download or read book Positive Feedback Economies written by E. Agliardi and published by Springer. This book was released on 1998-02-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to study the economy as a complex system and to show that the presence of self-reinforcing mechanisms in very different economic problems gives rise to common regularities and common qualitative properties. Dynamic systems of the self-reinforcing type are considered, that is, systems with local positive feedbacks. Economic theory maintains that positive feedbacks can cause multiple equilibria and possible inefficiency. This book concentrates on the less familiar properties of lock-in, path-dependence and symmetry-breaking.
Book Synopsis Symmetry, Representations, and Invariants by : Roe Goodman
Download or read book Symmetry, Representations, and Invariants written by Roe Goodman and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work.
Book Synopsis Biased Technical Change and Economic Conservation Laws by : Ryuzo Sato
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.
Book Synopsis Of Synthetic Finance by : Benjamin Lozano
Download or read book Of Synthetic Finance written by Benjamin Lozano and published by Routledge. This book was released on 2014-09-19 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Economic World View by : Uskali Mäki
Download or read book The Economic World View written by Uskali Mäki and published by Cambridge University Press. This book was released on 2001-07-23 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The beliefs of economists are not solely determined by empirical evidence in direct relation to the theories and models they hold. Economists hold 'ontological presuppositions', fundamental ideas about the nature of being which direct their thinking about economic behaviour. In this volume, leading philosophers and economists examine these hidden presuppositions, searching for a 'world view' of economics. What properties are attributed to human individuals in economic theories, and which are excluded? Does economic man exist? Do markets have an essence? Do macroeconomic aggregates exist? Is the economy a mechanism, the functioning of which is governed by a limited set of distinct causes? What are the methodological implications of different ontological starting points? This collection, which establishes economic ontology as a coordinated field of study, will be of great value to economists and philosophers of social sciences. -- Back cover.
Book Synopsis Symmetry and Complexity by : Klaus Mainzer
Download or read book Symmetry and Complexity written by Klaus Mainzer and published by World Scientific. This book was released on 2005 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.
Book Synopsis Equivalence, Invariants and Symmetry by : Peter J. Olver
Download or read book Equivalence, Invariants and Symmetry written by Peter J. Olver and published by Cambridge University Press. This book was released on 1995-06-30 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.
