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Convex Structures And Economic Theory
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Book Synopsis Convex Structures and Economic Theory by : Hukukane Nikaido
Download or read book Convex Structures and Economic Theory written by Hukukane Nikaido and published by Elsevier. This book was released on 2016-06-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Science and Engineering, Volume 51: Convex Structures and Economic Theory consists of an account of the theory of convex sets and its application to several basic problems that originate in economic theory and adjacent subject matter. This volume includes examples of problems pertaining to interesting static and dynamic phenomena in linear and nonlinear economic systems, as well as models initiated by Leontief, von Neumann, and Walras. The topics covered are the mathematical theorems on convexity, simple multisector linear systems, balanced growth in nonlinear systems, and efficient allocation and growth. The working of Walrasian competitive economies, special features of competitive economies, and Jacobian matrix and global univalence are also covered. This publication is suitable for advanced students of mathematical economics and related fields, but is also beneficial for anyone who wishes to become familiar with the basic ideas, methods, and results in the mathematical treatment in economic theory through a detailed exposition of a number of typical representative problems.
Book Synopsis Prices, Cycles, and Growth by : Hukukane Nikaidō
Download or read book Prices, Cycles, and Growth written by Hukukane Nikaidō and published by MIT Press. This book was released on 1996 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hukukane Nikaido is an economic theorist whose work helped lead the way for modern research in dynamic economics. Prices, Cycles and Growth provides a selection of his major papers since the 1970s. They offer uncommon insights into problems of instability and their effects on growth, income distribution, and unemployment, among other fundamental issues in macroeconomics.
Book Synopsis Convex Analysis and Mathematical Economics by : Jacobus Kriens
Download or read book Convex Analysis and Mathematical Economics written by Jacobus Kriens and published by . This book was released on 1979-05-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods for Economic Theory 1 by : James C. Moore
Download or read book Mathematical Methods for Economic Theory 1 written by James C. Moore and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. Volume One covers basic set theory, sequences and series, continuous and semi-continuous functions, an introduction to general linear spaces, basic convexity theory, and applications to economics.
Book Synopsis Mathematical Methods for Economic Theory 2 by : James C. Moore
Download or read book Mathematical Methods for Economic Theory 2 written by James C. Moore and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces
Book Synopsis Environmental Economics by : Karl-Goran Maler
Download or read book Environmental Economics written by Karl-Goran Maler and published by Routledge. This book was released on 2013-11-26 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2011. This is Volume VII out a series of eight on Environmental and Resource Economics and looks at Environmental Economics and in particular the problems connected with environmental quality.
Book Synopsis The Economic Theory of Structure and Change by : Mauro Baranzini
Download or read book The Economic Theory of Structure and Change written by Mauro Baranzini and published by CUP Archive. This book was released on 1990 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This wide-ranging 1991 inquiry into the general field of structural economic analysis provides a thorough appraisal of the method of economic dynamics.
Book Synopsis Mathematical Optimization and Economic Theory by : Michael D. Intriligator
Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator and published by SIAM. This book was released on 1971-01-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Optimization and Economic Theory provides a self-contained introduction to and survey of mathematical programming and control techniques and their applications to static and dynamic problems in economics, respectively. It is distinctive in showing the unity of the various approaches to solving problems of constrained optimization that all stem back directly or indirectly to the method of Lagrange multipliers. In the 30 years since its initial publication, there have been many more applications of these mathematical techniques in economics, as well as some advances in the mathematics of programming and control. Nevertheless, the basic techniques remain the same today as when the book was originally published. Thus, it continues to be useful not only to its original audience of advanced undergraduate and graduate students in economics, but also to mathematicians and other researchers interested in learning about the applications of the mathematics of optimization to economics. The book covers in some depth both static programming problems and dynamic control problems of optimization and the techniques of their solution. It also clearly presents many applications of these techniques to economics, and it shows why optimization is important for economics. Audience: mathematicians and other researchers who are interested in learning about the applications of mathematical optimization in economics, as well as students at the advanced undergraduate and beginning graduate level. A basic knowledge of analysis and matrix algebra is recommended. Two appendices summarize the necessary mathematics.
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 Economic Theory and International Trade by : Wilhelm Neuefeind
Download or read book Economic Theory and International Trade written by Wilhelm Neuefeind and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers on Economic Theory and International Trade: The papers on Economic Theory cover the existence and structure of competitive equilibrium in various settings: non-convexities, non-transitivity of preferences, and absence of differentiability or free-disposal assumptions, the role of the compensating variation as a welfare measure, oligopoly under bounded rationality, and regulation of a public utility. The papers on International Trade offer analyses of the "Dutch disease" or the Atlantic Slave Trade, or treat the influence of economic growth on import demand, the terms of trade, and other economic variables, as well as theoretical and empirical evidence for the validity of the Heckscher-Ohlin model. The papers, rigorous and often requiring mathematical sophistication, variously reflect Trout Rader's work.
Book Synopsis Mathematical Methods of Game and Economic Theory by : Jean-Pierre Aubin
Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
Book Synopsis Economic Theory and the Ancient Mediterranean by : Donald W. Jones
Download or read book Economic Theory and the Ancient Mediterranean written by Donald W. Jones and published by John Wiley & Sons. This book was released on 2014-06-03 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Theory and the Ancient Mediterranean presents a comprehensive introduction to the application of contemporary economic theory to the ancient societies of the Mediterranean Sea from the period of 5000 BCE to 400 CE. Offers an accessible presentation of modern economic theory and its relationships to ancient societies Presents innovative expositions and applications of economic theory to issues in antiquity not often found in the literature Features insightful discussions of the relevance of contemporary economic models to various situations in antiquity Written for a broad range of scholars of ancient Mediterranean regions, including archaeologists, ancient historians, and philologists
Book Synopsis Mathematical Topics on Representations of Ordered Structures and Utility Theory by : Gianni Bosi
Download or read book Mathematical Topics on Representations of Ordered Structures and Utility Theory written by Gianni Bosi and published by Springer Nature. This book was released on 2020-01-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
Book Synopsis Mathematical Optimization and Economic Analysis by : Mikulás Luptácik
Download or read book Mathematical Optimization and Economic Analysis written by Mikulás Luptácik and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.
Book Synopsis Foundations of Mathematical Economics by : Michael Carter
Download or read book Foundations of Mathematical Economics written by Michael Carter and published by MIT Press. This book was released on 2001-10-26 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
Book Synopsis A History of Economic Theory by : T. Negishi
Download or read book A History of Economic Theory written by T. Negishi and published by Routledge. This book was released on 1989 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The General Economic Theory by : Wei-Bin Zhang
Download or read book The General Economic Theory written by Wei-Bin Zhang and published by Springer Nature. This book was released on 2020-08-27 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a general economic theory that integrates various economic theories and ideas and establishes important relationships between economic variables that are not formally recognized in the economic literature. The author demonstrates how the basic model is integrated with neoclassical growth theory, Walrasian general equilibrium theory, and Ricardian distribution theory, and how these theories can be incorporated through a single set of equations with a microeconomic basis. The book offers new insights into income and wealth distribution between heterogeneous households, racial and national differences in growth and development, interdependence between different stock variables with portfolio choices among different markets. It will appeal to scholars of economists interested in an integrative theoretical approach to this discipline.
