Mathematical Models In Economics

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Mathematical Modeling in Economics, Ecology and the Environment

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

Author : N.V. Hritonenko,Yuri P. Yatsenko
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 46,7 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 ...

Mathematical Methods and Models for Economists

Angel de la Fuente
Mathematical Methods and Models for Economists Book PDF

Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 55,5 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.

Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations

Steven R. Dunbar
Mathematical Modeling in Economics and Finance Probability Stochastic Processes and Differential Equations Book PDF

Author : Steven R. Dunbar
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 42,8 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.

Mathematical Modelling in Economics

W. Erwin Diewert,Klaus Spremann,Frank Stehling
Mathematical Modelling in Economics Book PDF

Author : W. Erwin Diewert,Klaus Spremann,Frank Stehling
Publisher : Springer Verlag
Page : 713 pages
File Size : 52,5 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.

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani
Mathematical Modeling of Collective Behavior in Socio Economic and Life Sciences Book PDF

Author : Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 48,5 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.

Mathematical Methods and Models in Economic Planning, Management and Budgeting

Galimkair Mutanov
Mathematical Methods and Models in Economic Planning Management and Budgeting Book PDF

Author : Galimkair Mutanov
Publisher : Springer
Page : 356 pages
File Size : 53,7 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

Mathematical Economics

Vasily E. Tarasov
Mathematical Economics Book PDF

Author : Vasily E. Tarasov
Publisher : MDPI
Page : 278 pages
File Size : 44,8 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.

Mathematical Theory of Economic Dynamics and Equilibria

V.L. Makarov,A.M. Rubinov
Mathematical Theory of Economic Dynamics and Equilibria Book PDF

Author : V.L. Makarov,A.M. Rubinov
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461298861

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Mathematical Theory of Economic Dynamics and Equilibria by V.L. Makarov,A.M. Rubinov Pdf

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.

Mathematical Modelling for Economists

Donald George
Mathematical Modelling for Economists Book PDF

Author : Donald George
Publisher : Springer
Page : 179 pages
File Size : 53,5 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.

Aspects of Mathematical Modelling

Roger J. Hosking,Ezio Venturino
Aspects of Mathematical Modelling Book PDF

Author : Roger J. Hosking,Ezio Venturino
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 47,9 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.

Principles of Mathematical Economics

Shapoor Vali
Principles of Mathematical Economics Book PDF

Author : Shapoor Vali
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 52,6 Mb
Release : 2013-12-02
Category : Business & Economics
ISBN : 9789462390362

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Principles of Mathematical Economics by Shapoor Vali Pdf

Under the assumption of a basic knowledge of algebra and analysis, micro and macro economics, this self-contained and self-sufficient textbook is targeted towards upper undergraduate audiences in economics and related fields such as business, management and the applied social sciences. The basic economics core ideas and theories are exposed and developed, together with the corresponding mathematical formulations. From the basics, progress is rapidly made to sophisticated nonlinear, economic modelling and real-world problem solving. Extensive exercises are included, and the textbook is particularly well-suited for computer-assisted learning.

Mathematics and Methodology for Economics

Wolfgang Eichhorn,Winfried Gleißner
Mathematics and Methodology for Economics Book PDF

Author : Wolfgang Eichhorn,Winfried Gleißner
Publisher : Springer
Page : 630 pages
File Size : 50,5 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.

Mathematical Models of Economic Growth and Crises

Alexei Krouglov
Mathematical Models of Economic Growth and Crises Book PDF

Author : Alexei Krouglov
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 44,5 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).

Mathematics of Economics and Business

Frank Werner,Yuri N. Sotskov
Mathematics of Economics and Business Book PDF

Author : Frank Werner,Yuri N. Sotskov
Publisher : Routledge
Page : 537 pages
File Size : 41,5 Mb
Release : 2006-04-18
Category : Business & Economics
ISBN : 9781134319312

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Mathematics of Economics and Business by Frank Werner,Yuri N. Sotskov Pdf

1. Introduction -- 2. Sequences, series, finance -- 3. Relations, mappings, functions of a real variable -- 4. Differentiation -- 5. Integration -- 6. Vectors -- 7. Matrices and determinants -- 8. Linear equations and inequalities -- 9. Linear programming -- 10. Eigenvalue problems and quadratic forms -- 11. Functions of several variables -- 12. Differential equations and difference equations.

Mathematical Economics

Kelvin Lancaster
Mathematical Economics Book PDF

Author : Kelvin Lancaster
Publisher : Courier Corporation
Page : 450 pages
File Size : 48,8 Mb
Release : 2012-10-10
Category : Mathematics
ISBN : 9780486145044

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Mathematical Economics by Kelvin Lancaster Pdf

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.