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Mathematical Models Of The Economy
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Book Synopsis Mathematical Models of the Economy by : Richard Stone
Download or read book Mathematical Models of the Economy written by Richard Stone and published by London : Chapman & Hall. This book was released on 1970 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compilatton of essays on mathematical analysis of the economy - includes economic model-building, input output analysis, growth models, national accounting, statistical analysis of population systems, econometrics of consumer behaviour, etc. Bibliographys and statistical tables.
Book Synopsis Mathematical Modeling in Economics, Ecology and the Environment by : N.V. Hritonenko
Download or read book Mathematical Modeling in Economics, Ecology and the Environment written by N.V. Hritonenko and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ...
Book Synopsis Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations by : Steven R. Dunbar
Download or read book Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations written by Steven R. Dunbar and published by American Mathematical Soc.. This book was released on 2019-04-03 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling in Economics and Finance is designed as a textbook for an upper-division course on modeling in the economic sciences. The emphasis throughout is on the modeling process including post-modeling analysis and criticism. It is a textbook on modeling that happens to focus on financial instruments for the management of economic risk. The book combines a study of mathematical modeling with exposure to the tools of probability theory, difference and differential equations, numerical simulation, data analysis, and mathematical analysis. Students taking a course from Mathematical Modeling in Economics and Finance will come to understand some basic stochastic processes and the solutions to stochastic differential equations. They will understand how to use those tools to model the management of financial risk. They will gain a deep appreciation for the modeling process and learn methods of testing and evaluation driven by data. The reader of this book will be successfully positioned for an entry-level position in the financial services industry or for beginning graduate study in finance, economics, or actuarial science. The exposition in Mathematical Modeling in Economics and Finance is crystal clear and very student-friendly. The many exercises are extremely well designed. Steven Dunbar is Professor Emeritus of Mathematics at the University of Nebraska and he has won both university-wide and MAA prizes for extraordinary teaching. Dunbar served as Director of the MAA's American Mathematics Competitions from 2004 until 2015. His ability to communicate mathematics is on full display in this approachable, innovative text.
Book Synopsis Mathematical Modeling in Economics, Ecology and the Environment by : Natali Hritonenko
Download or read book Mathematical Modeling in Economics, Ecology and the Environment written by Natali Hritonenko and published by Springer Science & Business Media. This book was released on 2014-01-08 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated to textbook form by popular demand, this second edition discusses diverse mathematical models used in economics, ecology, and the environmental sciences with emphasis on control and optimization. It is intended for graduate and upper-undergraduate course use, however, applied mathematicians, industry practitioners, and a vast number of interdisciplinary academics will find the presentation highly useful. Core topics of this text are: · Economic growth and technological development · Population dynamics and human impact on the environment · Resource extraction and scarcity · Air and water contamination · Rational management of the economy and environment · Climate change and global dynamics The step-by-step approach taken is problem-based and easy to follow. The authors aptly demonstrate that the same models may be used to describe different economic and environmental processes and that similar investigation techniques are applicable to analyze various models. Instructors will appreciate the substantial flexibility that this text allows while designing their own syllabus. Chapters are essentially self-contained and may be covered in full, in part, and in any order. Appropriate one- and two-semester courses include, but are not limited to, Applied Mathematical Modeling, Mathematical Methods in Economics and Environment, Models of Biological Systems, Applied Optimization Models, and Environmental Models. Prerequisites for the courses are Calculus and, preferably, Differential Equations.
Book Synopsis Mathematical Models of Economic Growth and Crises by : Alexei Krouglov
Download or read book Mathematical Models of Economic Growth and Crises written by Alexei Krouglov and published by Nova Science Publishers. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Mathematical Methods and Models in Economic Planning, Management and Budgeting by : Galimkair Mutanov
Download or read book Mathematical Methods and Models in Economic Planning, Management and Budgeting written by Galimkair Mutanov and published by Springer. This book was released on 2014-11-04 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a system of mathematical models and methods that can be used to analyze real economic and managerial decisions and to improve their effectiveness. Application areas include: management of development and operation budgets, assessment and management of economic systems using an energy entropy approach, equation of exchange rates and forecasting foreign exchange operations, evaluation of innovative projects, monitoring of governmental programs, risk management of investment processes, decisions on the allocation of resources, and identification of competitive industrial clusters. The proposed methods and models were tested on the example of Kazakhstan’s economy, but the generated solutions will be useful for applications at other levels and in other countries. Regarding your book "Mathematical Methods and Models in Economics", I am impressed because now it is time when "econometrics" is becoming more appreciated by economists and by schools that are the hosts or employers of modern economists. ... Your presented results really impressed me. John F. Nash, Jr., Princeton University, Nobel Memorial Prize in Economic Sciences The book is within my scope of interest because of its novelty and practicality. First, there is a need for realistic modeling of complex systems, both natural and artificial that conclude computer and economic systems. There has been an ongoing effort in developing models dealing with complexity and incomplete knowledge. Consequently, it is clear to recognize the contribution of Mutanov to encapsulate economic modeling with emphasis on budgeting and innovation. Secondly, the method proposed by Mutanov has been verified by applying to the case of the Republic of Kazakhstan, with her vibrant emerging economy. Thirdly, Chapter 5 of the book is of particular interest for the computer technology community because it deals with innovation. In summary, the book of Mutanov should become one of the outstanding recognized pragmatic guides for dealing with innovative systems. Andrzej Rucinski, University of New Hampshire This book is unique in its theoretical findings and practical applicability. The book is an illuminating study based on an applied mathematical model which uses methods such as linear programming and input-output analysis. Moreover, this work demonstrates the author’s great insight and academic brilliance in the fields of finance, technological innovations and marketing vis-à-vis the market economy. From both theoretical and practical standpoint, this work is indeed a great achievement. Yeon Cheon Oh, President of Seoul National University
Book Synopsis Mathematical Modelling in Economics by : W. Erwin Diewert
Download or read book Mathematical Modelling in Economics written by W. Erwin Diewert and published by Springer Verlag. This book was released on 2012-07-31 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of more than sixty papers on mathematical economics. All papers use a model-based approach. The focus of the book is to demonstrate the state-of-the-art in modelling and research in important areas of economic theory. It is divided into four parts: Part I: Economics; Part II: Operations Research and Models of the Firm; Part III: Risk, Insurance, and Statistics; Part IV: Policy and Methodology. The papers are written by international experts who have dedicated their contributions to Wolfgang Eichhorn on the occasion of his 60th birthday. Researchers as well as graduate students interested in mathematical modelling in economics will find this book a rich source of interesting and novel results.
Book Synopsis Mathematical Methods and Models for Economists by : Angel de la Fuente
Download or read book Mathematical Methods and Models for Economists written by Angel de la Fuente and published by Cambridge University Press. This book was released on 2000-01-28 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Book Synopsis Mathematical Models of the Economy and Other Essay S by : Stone
Download or read book Mathematical Models of the Economy and Other Essay S written by Stone and published by . This book was released on 1973-01-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimization Models in a Transition Economy by : Ivan V. Sergienko
Download or read book Optimization Models in a Transition Economy written by Ivan V. Sergienko and published by Springer. This book was released on 2014-12-11 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book opens new avenues in understanding mathematical models within the context of a transition economy. The exposition lays out the methods for combining different mathematical structures and tools to effectively build the next model that will accurately reflect real world economic processes. Mathematical modeling of weather phenomena allows us to forecast certain essential weather parameters without any possibility of changing them. By contrast, modeling of transition economies gives us the freedom to not only predict changes in important indexes of all types of economies, but also to influence them more effectively in the desired direction. Simply put: any economy, including a transitional one, can be controlled. This book is useful to anyone who wants to increase profits within their business, or improve the quality of their family life and the economic area they live in. It is beneficial for undergraduate and graduate students specializing in the fields of Economic Informatics, Economic Cybernetics, Applied Mathematics and Large Information Systems, as well as for professional economists, and employees of state planning and statistical organizations.
Book Synopsis Mathematical Methods in Dynamic Economics by : A. Simonovits
Download or read book Mathematical Methods in Dynamic Economics written by A. Simonovits and published by Springer. This book was released on 2000-06-05 with total page 308 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.
Book Synopsis Environment, Economics, and Their Mathematical Models by : J. I. Díaz
Download or read book Environment, Economics, and Their Mathematical Models written by J. I. Díaz and published by Elsevier Masson. This book was released on 1994 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: When working on problems of environment, for global scales or for more local smaller scales, one has to deal with deep questions of economics. Following the first volume of this series of "Curso de Verano", published as RMA 27, this volume presents some new results on the modelling and mathematical treatment of problems of Environment. Moreover it contains many original contributions devoted to the economics of Environment. This '-dual- or complementary approach of all problems of environment is fundamental. We hope that the publication of this volume will provide further insight and give incentives for young researchers to enter this promising field. The texts correspond to extended versions of lectures presented by the authors in the Curso de Verano de la Universidad Complutense de Madrid (Almeria, June 26 to July 3, 1992).
Book Synopsis Mathematical Dynamics of Economic Markets by : Alexei Krouglov
Download or read book Mathematical Dynamics of Economic Markets written by Alexei Krouglov and published by Nova Publishers. This book was released on 2006 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Theory of Economic Dynamics and Equilibria by : V.L. Makarov
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.
Book Synopsis Mathematical Models in Economics by : Jerzy Łoś
Download or read book Mathematical Models in Economics written by Jerzy Łoś and published by Elsevier Science & Technology. This book was released on 1974 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conference report on the use of mathematical models in economics - includes papers on the von neumann growth models, convex economic analysis and its applications to economic models, etc. And a list of participants. Conference held in warsaw 1972 feb to jul.
Book Synopsis Computational Models in Political Economy by : Ken Kollman
Download or read book Computational Models in Political Economy written by Ken Kollman and published by MIT Press. This book was released on 2003 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of innovative computational models in political economic research as a complement to traditional analytical methodologies.
Book Synopsis Mathematical Models of Economic Dynamics with Discrete Innovations by : Alexander J. Zaslavski
Download or read book Mathematical Models of Economic Dynamics with Discrete Innovations written by Alexander J. Zaslavski and published by Nova Science Publishers. This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to an interesting class of dynamical systems arising in economic dynamics. Dynamical systems theory has been a rapidly growing area of research which has various applications to physics, engineering, biology and economics. In this theory one of the goals is to study the asymptotic behaviour of the trajectories of a dynamical system. A discrete-time dynamical system is described by a space of states and a sequence of transition operators which can be set-valued. Two types of dynamical systems are considered in the literature: autonomous, with a single transition operator which does not depend on time, and non-autonomous, with transition operators depending on time. In the monograph the authors discuss a number of results concerning this model which were obtained by the author in the last fifteen years. They study the existence of trajectories on which consumption tends to infinity, discuss the existence and structure of optimal solutions and analyse allocations of labour resources. The authors introduce an optimality criterion for the trajectories of the model, establish the existence of optimal trajectories and examine their structure. They consider a multi-product extension of the Makarov model and its extension with expenditures required for reallocation of labour resources.
