Download or read book Mathematical Economics and the Dynamics of Capitalism written by Peter Flaschel and published by Routledge. This book was released on 2016-04-01 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Goodwin was a pioneer in the use of mathematical tools to understand the dynamics of capitalist economies. This book contains contributions which focus on the rigorous extension of Goodwin’s modelling of macro-dynamics and the micro-structures underlying them, and also research with a wider perspective related to Goodwin’s vision of an integrated Marx-Keynes-Schumpeter (M-K-S) system of the dynamics of capitalist economies. The variety of approaches in this book range from detailed business cycle analyses to Schumpeterian processes of creative destruction. They include thorough theoretical analysis of delayed dynamical systems. empirical studies of Goodwin’s classical growth cycle model and the integration of Keynesian aspects of effective demand and of financial mechanisms that impact the real macro-economy. micro-economic structural analysis. expectations driven aspects of micro-founded business cycle modelling

Download or read book Mathematical Economics and the Dynamics of Capitalism written by Peter Flaschel and published by Routledge. This book was released on 2016-04-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Goodwin was a pioneer in the use of mathematical tools to understand the dynamics of capitalist economies. This book contains contributions which focus on the rigorous extension of Goodwin’s modelling of macro-dynamics and the micro-structures underlying them, and also research with a wider perspective related to Goodwin’s vision of an integrated Marx-Keynes-Schumpeter (M-K-S) system of the dynamics of capitalist economies. The variety of approaches in this book range from detailed business cycle analyses to Schumpeterian processes of creative destruction. They include thorough theoretical analysis of delayed dynamical systems. empirical studies of Goodwin’s classical growth cycle model and the integration of Keynesian aspects of effective demand and of financial mechanisms that impact the real macro-economy. micro-economic structural analysis. expectations driven aspects of micro-founded business cycle modelling

Download or read book How Labor Powers the Global Economy written by Emmanuel D. Farjoun and published by Springer Nature. This book was released on 2022-04-12 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a probabilistic approach to studying the fundamental role of labor in capitalist economies and develops a non-deterministic theoretical framework for the foundations of political economy. By applying the framework to real-world data, the authors offer new insights into the dynamics of growth, wages, and accumulation in capitalist development around the globe. The book demonstrates that a probabilistic political economy based on labor inputs enables us to describe central organizing principles in modern capitalism. Starting from a few basic assumptions, it shows that the working time of employees is the main regulating variable for determining strict numerical limits on the rate of economic growth, the range of wages, and the pace of accumulation under the present global economic system. This book will appeal to anyone interested in how the capitalist mode of production works and its inherent limitations; in particular, it will be useful to scholars and students of Marxian economics. “Emmanuel Farjoun and Moshé Machover, follow up their pathbreaking work on the application of statistical physics methods to political economy in this book with David Zachariah, in which they develop methods for making educated and structured estimates of stylized facts applicable to capitalist economies. There’s a lot for economists and anyone interested in the political economy of capitalism to learn from their reasoning on these issues, including their novel and challenging suggestion of bounds on the rates of increase of use-value productivity of labor, and on the range of variation of the wage share.” Duncan K. Foley, Leo Model Professor of Economics, New School for Social Research

Download or read book Capital Theory and Dynamics written by Edwin Burmeister and published by CUP Archive. This book was released on 1980-11-28 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Capital theory and dynamics are cornerstones for almost every branch of economics. Except in a fictional world where the economies of yesterday, today, and tomorrow are identical, issues of capital formation and dynamic behaviour must always arise. Although the specialist literature is technically demanding, Professor Burmeister shows that its important results can be understood and their economic significance grasped by those who do not possess the "mathematical literacy" required to follow rigorous proofs. Even if future events are known with certainty, they still influence the current economic state. This is the pure role of time. That future events are not known with certainty adds another complexity. This book focuses mainly on the pure role of time.

Download or read book Mathematical Theory of Economic Dynamics and Equilibria written by V.L. Makarov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical analysis of models of economic dynamics and equilibria. These models form an important part of mathemati cal economics. Models of economic dynamics describe the motion of an economy through time. The basic concept in the study of these models is that of a trajectory, i.e., a sequence of elements of the phase space that describe admissible (possible) development of the economy. From all trajectories, we select those that are" desirable," i.e., optimal in terms of a certain criterion. The apparatus of point-set maps is the appropriate tool for the analysis of these models. The topological aspects of these maps (particularly, the Kakutani fixed-point theorem) are used to study equilibrium models as well as n-person games. To study dynamic models we use a special class of maps which, in this book, are called superlinear maps. The theory of superlinear point-set maps is, obviously, of interest in its own right. This theory is described in the first chapter. Chapters 2-4 are devoted to models of economic dynamics and present a detailed study of the properties of optimal trajectories. These properties are described in terms of theorems on characteristics (on the existence of dual prices) and turnpike theorems (theorems on asymptotic trajectories). In Chapter 5, we state and study a model of economic equilibrium. The basic idea is to establish a theorem about the existence of an equilibrium state for the Arrow-Debreu model and a certain generalization of it.

Download or read book How Economics Became a Mathematical Science written by E. Roy Weintraub and published by Duke University Press. This book was released on 2002-05-28 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: In How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.

Download or read book How Much Inequality Is Fair written by Venkat Venkatasubramanian and published by Columbia University Press. This book was released on 2017-08-08 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many in the United States feel that the nation’s current level of economic inequality is unfair and that capitalism is not working for 90% of the population. Yet some inequality is inevitable. The question is: What level of inequality is fair? Mainstream economics has offered little guidance on fairness and the ideal distribution of income. Political philosophy, meanwhile, has much to say about fairness yet relies on qualitative theories that cannot be verified by empirical data. To address inequality, we need to know what the goal is—and for this, we need a quantitative, testable theory of fairness for free-market capitalism. How Much Inequality Is Fair? synthesizes concepts from economics, political philosophy, game theory, information theory, statistical mechanics, and systems engineering into a mathematical framework for a fair free-market society. The key to this framework is the insight that maximizing fairness means maximizing entropy, which makes it possible to determine the fairest possible level of pay inequality. The framework therefore provides a moral justification for capitalism in mathematical terms. Venkat Venkatasubramanian also compares his theory’s predictions to actual inequality data from various countries—showing, for instance, that Scandinavia has near-ideal fairness, while the United States is markedly unfair—and discusses the theory’s implications for tax policy, social programs, and executive compensation.

Download or read book Mathematical Methods in Dynamic Economics written by A. Simonovits and published by Palgrave Macmillan. This book was released on 2000-06-05 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.

Download or read book Foundations of Mathematical and Computational Economics written by Kamran Dadkhah and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners. The reader is introduced to the basics of numerical analysis as well as the use of computer programs such as Matlab and Excel in carrying out involved computations. Sections are devoted to the use of Maple in mathematical analysis. Examples drawn from recent contributions to economic theory and econometrics as well as a variety of end of chapter exercises help to illustrate and apply the presented concepts.

Download or read book The Diversity Complexity and Evolution of High Tech Capitalism written by Sten A. Thore and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his book "Jurassic Park" (and in the movie based on the book), Michael Crichton describes a crazed professor who through techniques of genetic engineering manages to recreate the dinosaurs and giant ferns of 65 million years past. Once the giant Tyrannosaurus Rex is brought to life. a powerful dynamics sets in: evolution. The prehistoric world embarks on a collision course with man. Researching his book, Crichton had been reading up on paleontology and on the mathematical theory of evolution, catastrophes, and chaos. Crichton explains some of the twists of nonlinear mathematics that are rewriting not only thermodynamics, physics, and chemistry (that all grapple with evolving and turbulent processes) but also paleontology, genetics, medicine and even anthropology. Collapse and chaos is not limited to prehistoric animal kingdoms and ancient civilizations. The collapse of the Soviet Union and the political and economic chaos in its aftermath demonstrate that modern civilizations are just as vulnerable. This book aims at reexamining some main portions of the discipline of economics from the point of view of economic change and creativity. There are two aspects to this perspective. First, diversity and complexity. The range of different kinds of high technology products available to consumers and producers increases rapidly. Each product is the result of a long and complex production hierarchy. As these hierarchies grow, they deliver ever more diversified and complex high tech goods. Other hierarchies fall by the wayside.

Download or read book The Macrodynamics of Capitalism written by Peter Flaschel and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to advanced macrodynamics, viewed as a di- quilibriumtheoryof?uctuatinggrowth. Itbuildsonanearlierattempttoreformulate 1 the foundations of macroeconomics from the perspective of real markets diseq- librium and the con?ict over income distribution between capital and labor. It does so, not because it wants to support the view that this class con?ict is inevitable, but with the perspective that an understanding of this con?ict may help to formulate socio-economic principles and policies that can help to overcome class con?ict at least in its cruder forms or that can even lead to rationally understandable proce- 2 dures and rules that turn this con?ict into a consensus-driven interaction between 3 capitalists or their representatives and the employable workforce. The book starts from established theories of temporary equilibrium positions, the forces of real growth, and the con?ict over income distribution, represented by basic modeling approaches, which it considers in detail in its Part I in order to prepare the ground for their integration in Part II of the book. In this way we inspect what types of models of disequilibrium, income distribution, and real growth we have at our disposal, as models that have proved to be of real interest and sound from a rigorous modeling perspective.

Download or read book Theory of Economic Dynamics written by Michal Kalecki and published by . This book was released on 2009 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Early Developments in Mathematical Economics written by Reghinos D. Theocharis and published by Springer. This book was released on 1983-06-18 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Economic Dynamics written by M. Kalecki and published by Routledge. This book was released on 2013-04-15 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kalecki is widely regarded as one of the leading theorists in the Post-Keynesian tradition and Theory of Economic Dynamics is one of his most influential works.

Download or read book Dynamic Optimization and Mathematical Economics written by Pan-Tai Liu and published by Springer. This book was released on 1980-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.

Download or read book Mathematical Economics written by Kelvin Lancaster and published by Courier Corporation. This book was released on 2012-10-10 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.

Download or read book Advances in Mathematical Economics written by Charles Castaing and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers. Members of the editorial board of this series consists of following prominent economists and mathematicians: Managing Editors: S. Kusuoka (Univ. Tokyo), T. Maruyama (Keio Univ.) Editors: R. Anderson (U.C.Berkeley), C. Castaing (Univ. Montpellier), F. H. Clarke (Univ. Lyon I), G. Debreu (U.C. Berkeleyer), E. Dierker (Univ. Vienna), D. Duffie (Stanford Univ.), L.C. Evans (U.C. Berkeley), T. Fujimoto (Okayama Univ.), J. -M. Grandmont (CREST-CNRS), N. Hirano (Yokohama National Univ.), L. Hurwicz (Univ. of Minnesota), T. Ichiishi (Ohio State Univ.), A. Ioffe (Israel Institute of Technology), S. Iwamoto (Kyushu Univ.), K. Kamiya (Univ. Tokyo), K. Kawamata (Keio Univ.), N. Kikuchi (Keio Univ.), H. Matano (Univ. Tokyo), K. Nishimura (Kyoto Univ.), M. K. Richter (Univ. Minnesota), Y. Takahashi (Kyoto Univ.), M. Valadier (Univ. Montpellier II), M. Yano (Keio Univ).