Mathematical Modelling In Economics

Author : N.V. Hritonenko,Yuri P. Yatsenko
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 43,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781441997333

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Mathematical Modeling in Economics, Ecology and the Environment by N.V. Hritonenko,Yuri P. Yatsenko Pdf

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 ...

Author : Steven R. Dunbar
Publisher : Unknown
Page : 232 pages
File Size : 55,5 Mb
Release : 2019
Category : BUSINESS & ECONOMICS
ISBN : 1470452049

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Mathematical Modeling in Economics and Finance by Steven R. Dunbar Pdf

Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 40,9 Mb
Release : 2000-01-28
Category : Business & Economics
ISBN : 0521585295

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Mathematical Methods and Models for Economists by Angel de la Fuente Pdf

A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Author : W. Erwin Diewert,Klaus Spremann,Frank Stehling
Publisher : Springer Verlag
Page : 713 pages
File Size : 40,7 Mb
Release : 2012-07-31
Category : Business & Economics
ISBN : 3642785107

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Mathematical Modelling in Economics by W. Erwin Diewert,Klaus Spremann,Frank Stehling Pdf

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.

Author : Martin Anthony,Norman Biggs
Publisher : Cambridge University Press
Page : 128 pages
File Size : 42,5 Mb
Release : 1996-07-13
Category : Mathematics
ISBN : 9781139643269

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Mathematics for Economics and Finance by Martin Anthony,Norman Biggs Pdf

Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.

Author : Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 49,9 Mb
Release : 2010-08-12
Category : Mathematics
ISBN : 9780817649463

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Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences by Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani Pdf

Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Author : Roger J. Hosking,Ezio Venturino
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 50,9 Mb
Release : 2008-03-02
Category : Mathematics
ISBN : 9783764385910

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Aspects of Mathematical Modelling by Roger J. Hosking,Ezio Venturino Pdf

The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Author : Donald George
Publisher : Springer
Page : 179 pages
File Size : 51,7 Mb
Release : 1988-05-27
Category : Business & Economics
ISBN : 9781349192380

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Mathematical Modelling for Economists by Donald George Pdf

This text deals with mathematical modelling techniques of use to economists. As well as explaining certain mathematical ideas, it discusses the construction, manipulation and interpretation of mathematical models. There are exercises accompanying each chapter and solutions to some are provided.

Author : Kam Yu
Publisher : Springer Nature
Page : 214 pages
File Size : 44,7 Mb
Release : 2019-11-01
Category : Mathematics
ISBN : 9783030272890

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Mathematical Economics by Kam Yu Pdf

This textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students. Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate study in economics, this text provides a concise introduction to the mathematics needed for core microeconomics, macroeconomics, and econometrics courses. Chapters 1 through 5 builds students’ skills in formal proof, axiomatic treatment of linear algebra, and elementary vector differentiation. Chapters 6 and 7 present the basic tools needed for microeconomic analysis. Chapter 8 provides a quick introduction to (or review of) probability theory. Chapter 9 introduces dynamic modeling, applicable in advanced macroeconomics courses. The materials assume prerequisites in undergraduate calculus and linear algebra. Each chapter includes in-text exercises and a solutions manual, making this text ideal for self-study.

Author : Steven R. Dunbar
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 51,7 Mb
Release : 2019-04-03
Category : Economics
ISBN : 9781470448394

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Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations by Steven R. Dunbar Pdf

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.

Author : Galimkair Mutanov
Publisher : Springer
Page : 356 pages
File Size : 46,8 Mb
Release : 2014-11-04
Category : Business & Economics
ISBN : 9783662451427

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Mathematical Methods and Models in Economic Planning, Management and Budgeting by Galimkair Mutanov Pdf

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

Author : Vasily E. Tarasov
Publisher : MDPI
Page : 278 pages
File Size : 44,9 Mb
Release : 2020-06-03
Category : Business & Economics
ISBN : 9783039361182

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Mathematical Economics by Vasily E. Tarasov Pdf

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.

Author : Alexei Krouglov
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 55,8 Mb
Release : 2017
Category : Business cycles
ISBN : 1536120448

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Mathematical Models of Economic Growth and Crises by Alexei Krouglov Pdf

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).

Author : Simon Serovajsky
Publisher : CRC Press
Page : 466 pages
File Size : 41,6 Mb
Release : 2021-11-24
Category : Mathematics
ISBN : 9781000503975

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Mathematical Modelling by Simon Serovajsky Pdf

Mathematical Modelling sets out the general principles of mathematical modelling as a means comprehending the world. Within the book, the problems of physics, engineering, chemistry, biology, medicine, economics, ecology, sociology, psychology, political science, etc. are all considered through this uniform lens. The author describes different classes of models, including lumped and distributed parameter systems, deterministic and stochastic models, continuous and discrete models, static and dynamical systems, and more. From a mathematical point of view, the considered models can be understood as equations and systems of equations of different nature and variational principles. In addition to this, mathematical features of mathematical models, applied control and optimization problems based on mathematical models, and identification of mathematical models are also presented. Features Each chapter includes four levels: a lecture (main chapter material), an appendix (additional information), notes (explanations, technical calculations, literature review) and tasks for independent work; this is suitable for undergraduates and graduate students and does not require the reader to take any prerequisite course, but may be useful for researchers as well Described mathematical models are grouped both by areas of application and by the types of obtained mathematical problems, which contributes to both the breadth of coverage of the material and the depth of its understanding Can be used as the main textbook on a mathematical modelling course, and is also recommended for special courses on mathematical models for physics, chemistry, biology, economics, etc.

Author : Wolfgang Eichhorn,Winfried Gleißner
Publisher : Springer
Page : 630 pages
File Size : 46,7 Mb
Release : 2016-02-11
Category : Business & Economics
ISBN : 9783319233536

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Mathematics and Methodology for Economics by Wolfgang Eichhorn,Winfried Gleißner Pdf

This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.