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Book Existence and Optimality of Competitive Equilibria

Download or read book Existence and Optimality of Competitive Equilibria written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a systematic exposition of the authors' research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have pro vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exis tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers fa miliar with the Walrasian general equilibrium model as exposited in (13], [23] or [52] may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.

Book Pareto Efficiency

Download or read book Pareto Efficiency written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-02-03 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Pareto Efficiency Pareto efficiency or Pareto optimality is a situation where no action or allocation is available that makes one individual better off without making another worse off. The concept is named after Vilfredo Pareto (1848-1923), Italian civil engineer and economist, who used the concept in his studies of economic efficiency and income distribution. The following three concepts are closely related:Given an initial situation, a Pareto improvement is a new situation where some agents will gain, and no agents will lose.A situation is called Pareto-dominated if there exists a possible Pareto improvement.A situation is called Pareto-optimal or Pareto-efficient if no change could lead to improved satisfaction for some agent without some other agent losing or, equivalently, if there is no scope for further Pareto improvement. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Pareto efficiency Chapter 2: Economic efficiency Chapter 3: Welfare economics Chapter 4: Allocative efficiency Chapter 5: Social planner Chapter 6: Liberal paradox Chapter 7: Fundamental theorems of welfare economics Chapter 8: Competitive equilibrium Chapter 9: Efficient cake-cutting Chapter 10: Efficient envy-free division Chapter 11: Weller's theorem Chapter 12: Utilitarian cake-cutting Chapter 13: Envy-free item allocation Chapter 14: Approximate Competitive Equilibrium from Equal Incomes Chapter 15: Fair random assignment Chapter 16: Random priority item allocation Chapter 17: Egalitarian equivalence Chapter 18: Efficient approximately fair item allocation Chapter 19: Fractional Pareto efficiency Chapter 20: Egalitarian rule Chapter 21: Ordinal Pareto efficiency (II) Answering the public top questions about pareto efficiency. (III) Real world examples for the usage of pareto efficiency in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Pareto Efficiency.

Book On the Existence of Optimal Competitive Equilibria in the Overlapping generations Model

Download or read book On the Existence of Optimal Competitive Equilibria in the Overlapping generations Model written by Teodoro Millan and published by . This book was released on 1981 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Economics

Download or read book Mathematical Economics written by Akira Takayama and published by Cambridge University Press. This book was released on 1985-08-30 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic exposition and survey of mathematical economics emphasizes the unifying structures of economic theory.

Book On Pareto Optima and Competitive Equilibria

Download or read book On Pareto Optima and Competitive Equilibria written by James C. Moore and published by . This book was released on 1970 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Methods and Theory in Games  Programming  and Economics

Download or read book Mathematical Methods and Theory in Games Programming and Economics written by Samuel Karlin and published by Elsevier. This book was released on 2014-05-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions are unique. The examples show the use of dominance concepts, symmetries, and probabilistic arguments that emphasize the principles of game theory. One example involves two opposing political parties in an election campaign, particularly, how they should distribute their advertising efforts for wider exposure. The text also investigates how to determine an optimal program from several choices that results with the maximum or minimum objective. The book also explores the analogs of the duality theorem, the equivalence of game problems to linear programming problems, and also the inter-industry nonlinear activity analysis model requiring special mathematical methods. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by mathematicians, engineers, economists, military strategists, or statisticians who formulate decisions using mathematical analysis and linear programming.

Book On Existence and Pareto optimality of Contract Equilibria in a Market with Indivisible Commodities

Download or read book On Existence and Pareto optimality of Contract Equilibria in a Market with Indivisible Commodities written by University of Toronto. Dept. of Economics and published by . This book was released on 1985 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Pareto Optimality  Game Theory and Equilibria

Download or read book Pareto Optimality Game Theory and Equilibria written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2008-07-02 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.

Book Pareto Optimal Allocations as Competitive Equilibria

Download or read book Pareto Optimal Allocations as Competitive Equilibria written by James C. Moore and published by . This book was released on 1973 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Optimization and Economic Theory

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 Linear Programming and Economic Analysis

Download or read book Linear Programming and Economic Analysis written by Robert Dorfman and published by Courier Corporation. This book was released on 2012-10-10 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Surplus Maximization and Price Discrimination in General Equilibrium

Download or read book Surplus Maximization and Price Discrimination in General Equilibrium written by Aaron S Edlin and published by . This book was released on 1994 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Rational Expectations Revolution

Download or read book The Rational Expectations Revolution written by Preston J. Miller and published by MIT Press. This book was released on 1994 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: These 21 readings describe the orgins and growth of the macroeconomic analysis known as "rational expectations". The readings trace the development of this approach from the late 1970s to the 1990s.

Book Multicriteria Optimization

Download or read book Multicriteria Optimization written by Nodari Vakhania and published by BoD – Books on Demand. This book was released on 2020-11-26 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-criteria optimization problems naturally arise in practice when there is no single criterion for measuring the quality of a feasible solution. Since different criteria are contradictory, it is difficult and often impossible to find a single feasible solution that is good for all the criteria. Hence, some compromise is needed. As such, this book examines the commonly accepted compromise of the traditional Pareto-optimality approach. It also proposes one new alternative approach for generating feasible solutions to multi-criteria optimization problems. Finally, the book presents two chapters on the existing solution methods for two real-life, multi-criteria optimization problems.

Book Competitive Equilibria with Infinitely Many Commodities  II

Download or read book Competitive Equilibria with Infinitely Many Commodities II written by Bernt P. Stigum and published by . This book was released on 1972 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the paper the author studies the characteristics of competitive resource allocation in a production economy in which infinitely many commodities must be allocated. The author establishes conditions sufficient to ensure that a competitive equilibrium exists. It is shown under general conditions that a competitive equilibrium allocates resources Pareto-optimally, and that a Pareto-optimum can be sustained as a competitive equilibrium relative to an appropriate distribution of purchasing power. (Author).