Mathematical Models of Economic Growth and Crises

Mathematical Models of Economic Growth and Crises PDF Author: Alexei Krouglov
Publisher: Nova Science Publishers
ISBN: 9781536120448
Category : Business cycles
Languages : en
Pages : 0

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Book Description
The main goal of this book is to present coherent mathematical models to describe an economic growth and related economic issues. The book is a continuation of the authors previous book Mathematical Dynamics of Economic Markets (9781594545283), which presented mathematical models of economic forces acting on the markets. In his previous book, the author described a system of ordinary differential equations, which connected together economic forces behind the products demand, supply and prices on the market. The author focuses on a specific aspect of how to modify the said system of ordinary differential equations, in order to describe the phenomenon of economic growth. In order to achieve clarity, the author restricted himself to economic processes arising on the markets of a single-product economy. Economic growth is presented as a result of savings and investment occurring on the markets. The markets participants withdraw part of the product from markets in the form of savings and use the withdrawn product in production in the form of an investment. The withdrawal drives the products supply on the market down while at the same time driving the products price up, which in turn drives the products demand down. When an impact of the products price increase exceeds an impact of the products demand decrease, economic growth occurs. Contrarily, one observes an economic decline in the opposite situation. The author looks into various aspects that savings and investment exert on the market. He in particular discusses the models that examine an economic growth in situations when savings and investment were done in the form of a one-time withdrawal of the product, constant-rate withdrawal of product, constant-accelerated withdrawal of product, and exponential withdrawal of product from the market. The author further examines an impact of four economic concepts on economic growth -- demand, supply, investment, and debt. He presents mathematical models exploring interconnections among these concepts and studies their mutual impacts on both economic growth and decline. He builds a mathematical model in order to verify a hypothesis that weak recovery after the financial crisis could be attributed to the decline of investments that were not compensated by the decrease of an interest rate. The author also looks into the phenomenon of economic crises and builds a few mathematical models. The models of four economic crises are considered. The first model concerns the last financial crisis where an author tried to explain how relatively small disturbances on financial markets had produced a large impact on the real economy. His conclusion is that fluctuations on connected markets amplify each other, which is known as the resonance phenomenon. The second model relates to the monetary part of Japanese economic policy known as Abenomics, where the price of Japanese bonds decreases and the yield increases. The author builds a mathematical model to investigate this phenomenon. The third model is about a secular stagnation hypothesis advanced by Lawrence Summers. The author complements his model of economic growth with the external supply of product to the market. He found that external supply provided with either constant rate or constant acceleration can cause a restricted or unrestricted economic decline, respectively. The fourth model is a model describing the four stages of the Greek economic crisis (before the Eurozone, before the Euro crisis, after the Euro crisis, and during the austerity period) and two potential recovery stages (with austere and benign economic transformations).

Mathematical Models of Economic Growth and Crises

Mathematical Models of Economic Growth and Crises PDF Author: Alexei Krouglov
Publisher: Nova Science Publishers
ISBN: 9781536120448
Category : Business cycles
Languages : en
Pages : 0

Get Book Here

Book Description
The main goal of this book is to present coherent mathematical models to describe an economic growth and related economic issues. The book is a continuation of the authors previous book Mathematical Dynamics of Economic Markets (9781594545283), which presented mathematical models of economic forces acting on the markets. In his previous book, the author described a system of ordinary differential equations, which connected together economic forces behind the products demand, supply and prices on the market. The author focuses on a specific aspect of how to modify the said system of ordinary differential equations, in order to describe the phenomenon of economic growth. In order to achieve clarity, the author restricted himself to economic processes arising on the markets of a single-product economy. Economic growth is presented as a result of savings and investment occurring on the markets. The markets participants withdraw part of the product from markets in the form of savings and use the withdrawn product in production in the form of an investment. The withdrawal drives the products supply on the market down while at the same time driving the products price up, which in turn drives the products demand down. When an impact of the products price increase exceeds an impact of the products demand decrease, economic growth occurs. Contrarily, one observes an economic decline in the opposite situation. The author looks into various aspects that savings and investment exert on the market. He in particular discusses the models that examine an economic growth in situations when savings and investment were done in the form of a one-time withdrawal of the product, constant-rate withdrawal of product, constant-accelerated withdrawal of product, and exponential withdrawal of product from the market. The author further examines an impact of four economic concepts on economic growth -- demand, supply, investment, and debt. He presents mathematical models exploring interconnections among these concepts and studies their mutual impacts on both economic growth and decline. He builds a mathematical model in order to verify a hypothesis that weak recovery after the financial crisis could be attributed to the decline of investments that were not compensated by the decrease of an interest rate. The author also looks into the phenomenon of economic crises and builds a few mathematical models. The models of four economic crises are considered. The first model concerns the last financial crisis where an author tried to explain how relatively small disturbances on financial markets had produced a large impact on the real economy. His conclusion is that fluctuations on connected markets amplify each other, which is known as the resonance phenomenon. The second model relates to the monetary part of Japanese economic policy known as Abenomics, where the price of Japanese bonds decreases and the yield increases. The author builds a mathematical model to investigate this phenomenon. The third model is about a secular stagnation hypothesis advanced by Lawrence Summers. The author complements his model of economic growth with the external supply of product to the market. He found that external supply provided with either constant rate or constant acceleration can cause a restricted or unrestricted economic decline, respectively. The fourth model is a model describing the four stages of the Greek economic crisis (before the Eurozone, before the Euro crisis, after the Euro crisis, and during the austerity period) and two potential recovery stages (with austere and benign economic transformations).

Mathematical Dynamics of Economic Markets

Mathematical Dynamics of Economic Markets PDF Author: Alexei Krouglov
Publisher: Nova Publishers
ISBN: 9781594545283
Category : Business & Economics
Languages : en
Pages : 136

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Book Description
In this new book the author, Alexi Krouglov, examines real business cycles, financial markets, and economic growth with various mathematical models. Real business cycles are examined with three different models: one product and one supplier, one product and two suppliers, and n-products with n-suppliers. Financial markets are examined with more complex models because more complex topics, such as inflation and the stock market, are involved. Economic growth is examined through mathematical models that are specifically concerned with trade and arbitrage.

Mathematical Models in Economics - Volume II

Mathematical Models in Economics - Volume II PDF Author: Wei-Bin Zhang
Publisher: EOLSS Publications
ISBN: 1848262299
Category : Economics
Languages : en
Pages : 520

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Book Description
Mathematical Models in Economics is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. This theme is organized into several different topics and introduces the applications of mathematics to economics. Mathematical economics has experienced rapid growth, generating many new academic fields associated with the development of mathematical theory and computer. Mathematics is the backbone of modern economics. It plays a basic role in creating ideas, constructing new theories, and empirically testing ideas and theories. Mathematics is now an integral part of economics. The main advances in modern economics are characterized by applying mathematics to various economic problems. Many of today's profound insights into economic problems could hardly be obtained without the help of mathematics. The concepts of equilibrium versus non-equilibrium, stability versus instability, and steady states versus chaos in the contemporary literature are difficult to explain without mathematics. The theme discusses on modern versions of some classical economic theories, taking account of balancing between significance of economic issues and mathematical techniques. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

In the Wake of the Crisis

In the Wake of the Crisis PDF Author: Olivier Blanchard
Publisher: MIT Press
ISBN: 0262526824
Category : Business & Economics
Languages : en
Pages : 251

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Book Description
Prominent economists reconsider the fundamentals of economic policy for a post-crisis world. In 2011, the International Monetary Fund invited prominent economists and economic policymakers to consider the brave new world of the post-crisis global economy. The result is a book that captures the state of macroeconomic thinking at a transformational moment. The crisis and the weak recovery that has followed raise fundamental questions concerning macroeconomics and economic policy. These top economists discuss future directions for monetary policy, fiscal policy, financial regulation, capital-account management, growth strategies, the international monetary system, and the economic models that should underpin thinking about critical policy choices. Contributors Olivier Blanchard, Ricardo Caballero, Charles Collyns, Arminio Fraga, Már Guðmundsson, Sri Mulyani Indrawati, Otmar Issing, Olivier Jeanne, Rakesh Mohan, Maurice Obstfeld, José Antonio Ocampo, Guillermo Ortiz, Y. V. Reddy, Dani Rodrik, David Romer, Paul Romer, Andrew Sheng, Hyun Song Shin, Parthasarathi Shome, Robert Solow, Michael Spence, Joseph Stiglitz, Adair Turner

Mathematical Modeling in Economics, Ecology and the Environment

Mathematical Modeling in Economics, Ecology and the Environment PDF Author: N.V. Hritonenko
Publisher: Springer Science & Business Media
ISBN: 1441997334
Category : Mathematics
Languages : en
Pages : 225

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Book Description
The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Capitalism

Capitalism PDF Author: Anwar Shaikh
Publisher: Oxford University Press
ISBN: 0199390657
Category : Business & Economics
Languages : en
Pages : 1019

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Book Description
Orthodox economics operates within a hypothesized world of perfect competition in which perfect consumers and firms act to bring about supposedly optimal outcomes. The discrepancies between this model and the reality it claims to address are then attributed to particular imperfections in reality itself. Most heterodox economists seize on this fact and insist that the world is characterized by imperfect competition. But this only ties them to the notion of perfect competition, which remains as their point of departure and base of comparison. There is no imperfection without perfection. In Capitalism, Anwar Shaikh takes a different approach. He demonstrates that most of the central propositions of economic analysis can be derived without any reference to standard devices such as hyperrationality, optimization, perfect competition, perfect information, representative agents, or so-called rational expectations. This perspective allows him to look afresh at virtually all the elements of economic analysis: the laws of demand and supply, the determination of wage and profit rates, technological change, relative prices, interest rates, bond and equity prices, exchange rates, terms and balance of trade, growth, unemployment, inflation, and long booms culminating in recurrent general crises. In every case, Shaikh's innovative theory is applied to modern empirical patterns and contrasted with neoclassical, Keynesian, and Post-Keynesian approaches to the same issues. Shaikh's object of analysis is the economics of capitalism, and he explores the subject in this expansive light. This is how the classical economists, as well as Keynes and Kalecki, approached the issue. Anyone interested in capitalism and economics in general can gain a wealth of knowledge from this ground-breaking text.

Financial Crisis and the Failure of Economic Theory

Financial Crisis and the Failure of Economic Theory PDF Author: Jorge Turmo Arnal
Publisher: Routledge
ISBN: 1317317440
Category : Business & Economics
Languages : en
Pages : 209

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Book Description
The global financial crisis of 2008 was largely unpredicted. If economic theory has a role to play in predicting future catastrophes then the methods we rely on need to change. The authors of this study propose a new theory of economics based on more detailed understanding of how and why people behave as they do within their environment. This anthropological approach uses the strengths of many existing economic theories, including Keynesian and Austrian economics, to present a new framework for anticipating and averting the financial crises of the future.

Economics After the Crisis

Economics After the Crisis PDF Author: Adair Turner
Publisher: MIT Press
ISBN: 0262300990
Category : Business & Economics
Languages : en
Pages : 123

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Book Description
A noted economist challenges the fundamental economic assumptions that cast economic growth as the objective and markets as the universally applicable means of achieving it. The global economic crisis of 2008–2009 seemed a crisis not just of economic performance but also of the system's underlying political ideology and economic theory. But a second Great Depression was averted, and the radical shift to New Deal-like economic policies predicted by some never took place. Perhaps the correct response to the crisis is simply careful management of the macroeconomic challenges as we recover, combined with reform of financial regulation to prevent a recurrence. In Economics After the Crisis, Adair Turner offers a strong counterargument to this somewhat complacent view. The crisis of 2008–2009, he writes, should prompt a wide set of challenges to economic and political assumptions and to economic theory. Turner argues that more rapid growth should not be the overriding objective for rich developed countries, that inequality should concern us, that the pre-crisis confidence in financial markets as the means of pursuing objectives was profoundly misplaced.

International Financial Contagion

International Financial Contagion PDF Author: Stijn Claessens
Publisher: Springer Science & Business Media
ISBN: 1475733143
Category : Business & Economics
Languages : en
Pages : 461

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Book Description
No sooner had the Asian crisis broken out in 1997 than the witch-hunt started. With great indignation every Asian economy pointed fingers. They were innocent bystanders. The fundamental reason for the crisis was this or that - most prominently contagion - but also the decline in exports of the new commodities (high-tech goods), the steep rise of the dollar, speculators, etc. The prominent question, of course, is whether contagion could really have been the key factor and, if so, what are the channels and mechanisms through which it operated in such a powerful manner. The question is obvious because until 1997, Asia's economies were generally believed to be immensely successful, stable and well managed. This question is of great importance not only in understanding just what happened, but also in shaping policies. In a world of pure contagion, i.e. when innocent bystanders are caught up and trampled by events not of their making and when consequences go far beyond ordinary international shocks, countries will need to look for better protective policies in the future. In such a world, the international financial system will need to change in order to offer better preventive and reactive policy measures to help avoid, or at least contain, financial crises.

The Growth Spiral

The Growth Spiral PDF Author: Hans Christoph Binswanger
Publisher: Springer Science & Business Media
ISBN: 3642318819
Category : Business & Economics
Languages : en
Pages : 166

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Book Description
This book develops a new theory of the modern economy. Conventional economic theory is (still) based on an essentially static notion of equilibrium. In contrast, this book offers an analysis of the economic process based on a truly dynamic approach. It understands modern economic activity as manifesting itself in a growth spiral. There are two main drivers of the dynamics of this spiral: steady money creation in the banking system, on the one hand; and the continuous inflow of energy and raw materials through the exploitation of natural resources, on the other. Both driving forces are generally neglected by the conventional theory. Understanding their role is absolutely essential for preventing our economy from being more and more exposed to financial and ecological crises. This book offers important insights about the functioning of the modern economy and addresses the specialist as well as the interested lay reader.