Mathematical Economics and the Dynamics of Capitalism PDF Download
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Author: Peter Flaschel
Publisher: Routledge
ISBN: 1134057571
Category : Business & Economics
Languages : en
Pages : 385
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Book Description
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
Author: Peter Flaschel
Publisher: Routledge
ISBN: 1134057571
Category : Business & Economics
Languages : en
Pages : 385
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Book Description
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
Author: Peter Flaschel
Publisher: Routledge
ISBN: 113405758X
Category : Business & Economics
Languages : en
Pages : 310
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Book Description
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
Author: Emmanuel D. Farjoun
Publisher: Springer Nature
ISBN: 3030933210
Category : Political Science
Languages : en
Pages : 155
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Book Description
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
Author: Kelvin Lancaster
Publisher: Courier Corporation
ISBN: 0486145042
Category : Mathematics
Languages : en
Pages : 450
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Book Description
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.
Author: V.L. Makarov
Publisher: Springer Science & Business Media
ISBN: 1461298865
Category : Business & Economics
Languages : en
Pages : 268
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Book Description
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.
Author: Peter Flaschel
Publisher: Springer Science & Business Media
ISBN: 3540879323
Category : Business & Economics
Languages : en
Pages : 402
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Book Description
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.
Author: Edwin Burmeister
Publisher: CUP Archive
ISBN: 9780521228893
Category : Business & Economics
Languages : en
Pages : 358
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Book Description
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.
Author: Sten A. Thore
Publisher: Springer Science & Business Media
ISBN: 9401106592
Category : Business & Economics
Languages : en
Pages : 207
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Book Description
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.
Author: Pan-Tai Liu
Publisher: Springer
ISBN:
Category : Business & Economics
Languages : en
Pages : 288
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Book Description
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.
Author: M. Kalecki
Publisher: Routledge
ISBN: 1135033293
Category : Business & Economics
Languages : en
Pages : 155
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Book Description
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.
