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In a unique approach to microeconomic theory, this book constructs (and proposes solutions to) major problems in mathematical programming, the theory of consumer demand, the theory of production, and welfare economics. Readers can thereby derive for themselves many of the major results achieved in microeconomics. Introductory notes set the scene for each chapter, and the subsequent sets of problems and annotated reading lists guarantee the reader a thorough grounding in microeconomic theory.
Dual arguments have become a standard tool for analysis of problems involving optimization by consumers and producers. The principal aim of this book is to provide a fairly systematic yet simple exposition of the basic structure of such arguments. The emphasis is not on providing mathematically general proofs; instead, a geometric approach is used to provide, in an informal way, an intuitive understanding of duality theory. This book introduces the most common alternative ways of representing preferences and technologies, such as indirect utility and distance functions, expenditure and cost functions, and profit and revenue functions. and it discusses the assumptions under which alternative formulations contain precisely the same information. Results such as Roy's identity. the Hotelling-Wold identity, and Shephard's lemma are fully explained. as are their roles in facilitating analysis of behaviour.
The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume I deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory. Volume II elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.
Contributions to Economic Analysis: Production Economics: A Dual Approach to Theory and Applications, Volume 2 focuses on the theory of production from the standpoint of the "dual", the relationships between economic observables which are dual to physical technology. The selection first ponders on duality, intermediate inputs and value-added, Hicks' aggregation theorem and the existence of a real value-added function, and homotheticity and real value-added in Canadian manufacturing. Discussions focus on real value-added and the production structure, estimation of the production structure, double deflation and real value-added, measurement of total productivity, and duality between direct and conditional indirect utility functions. The book then examines the estimation techniques for the elasticity of substitution and other production parameters and measurement of the elasticity of factor substitution and bias of technical change. The publication takes a look at the identification of technical change in the electricity generating industry, factor substitution in electricity generation, and the effectiveness of rate-of-return regulation. Topics include statistical tests of regulatory effectiveness, profit function for a regulated firm, tests of the structure of technology, identification problems in the measurement of technical change, and measurement of disembodied technical change. The selection is a valuable source of information for economists and researchers interested in production economics.
Microeconomic Theory: A Heterodox Approach develops a heterodox economic theory that explains the economy as the social provisioning process at the micro level. Heterodox microeconomics explores the economy with a focus on its constituent parts and their reproduction and recurrence, their integration qua interdependency by non-market and market arrangements and institutions, and how the system works as a whole. This book deals with three theoretical concerns. Due to the significance of the price mechanism to mainstream economics, a theoretical concern of the book is the business enterprise, markets, demand, and pricing. Also, since heterodox economists see private investment, consumption and government expenditures as the principal directors and drivers of economic activity, a second theoretical concern is business decision-making processes regarding investment and production, government expenditure decisions, the financing of investment, the profit mark-up and the wage rate, and taxes. Finally, the third theoretical concern of the book is the delineation of a non-equilibrium disaggregated price-output model of the social provisioning process. This book explores the integration of these various theories with a theoretical model of the economy and how this forms a theory that can be identified as heterodox microeconomics. It will be of interest to both postgraduates and researchers.
The introduction of public goods into economic theory has recently received substantial attention from economists. Both the increasing significance of public goods and the deficiencies of the private goods-oriented allocation mechanisms call for a re orientation of the classical general equilibrium models such as the one designed by Walras exactly a century ago. Although several approaches to this problem are possible, the duality approach seems to be very fruitful. In this study, Dr. Ruys applies and develops the mathematical theory of polarity to gain a deeper insight into the economic theory of value. He not only uses the duality approach to simplify formal proofs related to public goods, but he also gives an interpretation to the application of polarity operations which goes far, beyond its formal significance. This study is in a way closely related to the publication 'Axiomatic choice models' by Dr. H. N. Weddepohl, which is volume 3 of the Tilburg Studies on Economics.
An introduction to advanced topics in microeconomics that emphasizes the intuition behind assumptions and results, providing examples that show how to apply theory to practice. This textbook offers an introduction to advanced microeconomic theory that emphasizes the intuition behind mathematical assumptions, providing step-by-step examples that show how to apply theoretical models. It covers standard topics such as preference relations, demand theory and applications, producer theory, choice under uncertainty, partial and general equilibrium, monopoly, game theory and imperfect competition, externalities and public goods, and contract theory; but its intuitive and application-oriented approach provides students with a bridge to more technical topics. The book can be used by advanced undergraduates as well as Masters students in economics, finance, and public policy, and by PhD students in programs with an applied focus. The text connects each topic with recent findings in behavioral and experimental economics, and discusses these results in context, within the appropriate chapter. Step-by-step examples appear immediately after the main theoretical findings, and end-of chapter exercises help students understand how to approach similar exercises on their own. An appendix reviews basic mathematical concepts. A separate workbook, Practice Exercises for Advanced Microeconomic Theory, offers solutions to selected problems with detailed explanations. The textbook and workbook together help students improve both their theoretical and practical preparation in advanced microeconomics.