The Theory of Linear Economic Models

The Theory of Linear Economic Models

Author: David Gale

Publisher: University of Chicago Press

Published: 1989-02-10

Total Pages: 353

ISBN-13: 0226278840

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Reprint of the edition of 1960. Gale (math, economics, operations research, U. of Cal. Berkeley) provides a complete and systematic treatment of the topic. Annotation copyrighted by Book News, Inc., Portland, OR


Dynamic Linear Economic Models

Dynamic Linear Economic Models

Author: James L. Kenkel

Publisher: Routledge

Published: 2018-04-09

Total Pages: 338

ISBN-13: 1351140701

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Originally published in 1974. This book provides a rigorous and detailed introductory treatment of the theory of difference equations and their applications in the construction and analysis of dynamic economic models. It explains the theory of linear difference equations and various types of dynamic economic models are then analysed. Including plenty of examples of application throughout the text, it will be of use to those working in macroeconomics and econometrics.


Linear Model Theory

Linear Model Theory

Author: Dale L. Zimmerman

Publisher: Springer Nature

Published: 2020-11-02

Total Pages: 504

ISBN-13: 3030520633

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This textbook presents a unified and rigorous approach to best linear unbiased estimation and prediction of parameters and random quantities in linear models, as well as other theory upon which much of the statistical methodology associated with linear models is based. The single most unique feature of the book is that each major concept or result is illustrated with one or more concrete examples or special cases. Commonly used methodologies based on the theory are presented in methodological interludes scattered throughout the book, along with a wealth of exercises that will benefit students and instructors alike. Generalized inverses are used throughout, so that the model matrix and various other matrices are not required to have full rank. Considerably more emphasis is given to estimability, partitioned analyses of variance, constrained least squares, effects of model misspecification, and most especially prediction than in many other textbooks on linear models. This book is intended for master and PhD students with a basic grasp of statistical theory, matrix algebra and applied regression analysis, and for instructors of linear models courses. Solutions to the book’s exercises are available in the companion volume Linear Model Theory - Exercises and Solutions by the same author.


Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists

Author: Angel de la Fuente

Publisher: Cambridge University Press

Published: 2000-01-28

Total Pages: 630

ISBN-13: 9780521585293

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


Economic Modeling Using Artificial Intelligence Methods

Economic Modeling Using Artificial Intelligence Methods

Author: Tshilidzi Marwala

Publisher: Springer Science & Business Media

Published: 2013-04-02

Total Pages: 271

ISBN-13: 1447150104

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Economic Modeling Using Artificial Intelligence Methods examines the application of artificial intelligence methods to model economic data. Traditionally, economic modeling has been modeled in the linear domain where the principles of superposition are valid. The application of artificial intelligence for economic modeling allows for a flexible multi-order non-linear modeling. In addition, game theory has largely been applied in economic modeling. However, the inherent limitation of game theory when dealing with many player games encourages the use of multi-agent systems for modeling economic phenomena. The artificial intelligence techniques used to model economic data include: multi-layer perceptron neural networks radial basis functions support vector machines rough sets genetic algorithm particle swarm optimization simulated annealing multi-agent system incremental learning fuzzy networks Signal processing techniques are explored to analyze economic data, and these techniques are the time domain methods, time-frequency domain methods and fractals dimension approaches. Interesting economic problems such as causality versus correlation, simulating the stock market, modeling and controling inflation, option pricing, modeling economic growth as well as portfolio optimization are examined. The relationship between economic dependency and interstate conflict is explored, and knowledge on how economics is useful to foster peace – and vice versa – is investigated. Economic Modeling Using Artificial Intelligence Methods deals with the issue of causality in the non-linear domain and applies the automatic relevance determination, the evidence framework, Bayesian approach and Granger causality to understand causality and correlation. Economic Modeling Using Artificial Intelligence Methods makes an important contribution to the area of econometrics, and is a valuable source of reference for graduate students, researchers and financial practitioners.


Models in Microeconomic Theory

Models in Microeconomic Theory

Author: Martin J. Osborne

Publisher: Open Book Publishers

Published: 2023-06-26

Total Pages: 382

ISBN-13: 180511123X

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Models in Microeconomic Theory covers basic models in current microeconomic theory. Part I (Chapters 1-7) presents models of an economic agent, discussing abstract models of preferences, choice, and decision making under uncertainty, before turning to models of the consumer, the producer, and monopoly. Part II (Chapters 8-14) introduces the concept of equilibrium, beginning, unconventionally, with the models of the jungle and an economy with indivisible goods, and continuing with models of an exchange economy, equilibrium with rational expectations, and an economy with asymmetric information. Part III (Chapters 15-16) provides an introduction to game theory, covering strategic and extensive games and the concepts of Nash equilibrium and subgame perfect equilibrium. Part IV (Chapters 17-20) gives a taste of the topics of mechanism design, matching, the axiomatic analysis of economic systems, and social choice. The book focuses on the concepts of model and equilibrium. It states models and results precisely, and provides proofs for all results. It uses only elementary mathematics (with almost no calculus), although many of the proofs involve sustained logical arguments. It includes about 150 exercises. With its formal but accessible style, this textbook is designed for undergraduate students of microeconomics at intermediate and advanced levels.


Linear Algebra for Economists

Linear Algebra for Economists

Author: Fuad Aleskerov

Publisher: Springer Science & Business Media

Published: 2011-08-18

Total Pages: 283

ISBN-13: 3642205704

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This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.


Linear Programming and Economic Analysis

Linear Programming and Economic Analysis

Author: Robert Dorfman

Publisher: Courier Corporation

Published: 2012-10-10

Total Pages: 546

ISBN-13: 0486142116

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Designed primarily for economists and those interested in management economics who are not necessarily accomplished mathematicians, this text offers a clear, concise exposition of the relationship of linear programming to standard economic analysis. The research and writing were supported by The RAND Corporation in the late 1950s. Linear programming has been one of the most important postwar developments in economic theory, but until publication of the present volume, no text offered a comprehensive treatment of the many facets of the relationship of linear programming to traditional economic theory. This book was the first to provide a wide-ranging survey of such important aspects of the topic as the interrelations between the celebrated von Neumann theory of games and linear programming, and the relationship between game theory and the traditional economic theories of duopoly and bilateral monopoly. Modern economists will especially appreciate the treatment of the connection between linear programming and modern welfare economics and the insights that linear programming gives into the determinateness of Walrasian equilibrium. The book also offers an excellent introduction to the important Leontief theory of input-output as well as extensive treatment of the problems of dynamic linear programming. Successfully used for three decades in graduate economics courses, this book stresses practical problems and specifies important concrete applications.


Economic Models of Tropical Deforestation: A Review

Economic Models of Tropical Deforestation: A Review

Author: David Kaimowitz

Publisher: CIFOR

Published: 1998-01-01

Total Pages: 153

ISBN-13: 979876417X

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Types of economic deforestation models. Household and firm-level models. Regional-level models. National and macro-level models. Priority areas for future research.