Differential Topology and General Equilibrium with Complete and Incomplete Markets

Differential Topology and General Equilibrium with Complete and Incomplete Markets

Author: Antonio Villanacci

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 495

ISBN-13: 1475736193

DOWNLOAD EBOOK

General equilibrium In this book we try to cope with the challenging task of reviewing the so called general equilibrium model and of discussing one specific aspect of the approach underlying it, namely, market completeness. With the denomination "general equilibrium" (from now on in short GE) we shall mainly refer to two different things. On one hand, in particular when using the expression "GE approach", we shall refer to a long established methodolog ical tradition in building and developing economic models, which includes, as of today, an enormous amount of contributions, ranging in number by several 1 thousands • On the other hand, in particular when using the expression "stan dard differentiable GE model", we refer to a very specific version of economic model of exchange and production, to be presented in Chapters 8 and 9, and to be modified in Chapters 10 to 15. Such a version is certainly formulated within the GE approach, but it is generated by making several quite restrictive 2 assumptions • Even to list and review very shortly all the collective work which can be ascribed to the GE approach would be a formidable task for several coauthors in a lifetime perspective. The book instead intends to address just a single issue. Before providing an illustration of its main topic, we feel the obligation to say a word on the controversial character of GE. First of all, we should say that we identify the GE approach as being based 3 on three principles .


Book Synopsis Differential Topology and General Equilibrium with Complete and Incomplete Markets by : Antonio Villanacci

Download or read book Differential Topology and General Equilibrium with Complete and Incomplete Markets written by Antonio Villanacci and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: General equilibrium In this book we try to cope with the challenging task of reviewing the so called general equilibrium model and of discussing one specific aspect of the approach underlying it, namely, market completeness. With the denomination "general equilibrium" (from now on in short GE) we shall mainly refer to two different things. On one hand, in particular when using the expression "GE approach", we shall refer to a long established methodolog ical tradition in building and developing economic models, which includes, as of today, an enormous amount of contributions, ranging in number by several 1 thousands • On the other hand, in particular when using the expression "stan dard differentiable GE model", we refer to a very specific version of economic model of exchange and production, to be presented in Chapters 8 and 9, and to be modified in Chapters 10 to 15. Such a version is certainly formulated within the GE approach, but it is generated by making several quite restrictive 2 assumptions • Even to list and review very shortly all the collective work which can be ascribed to the GE approach would be a formidable task for several coauthors in a lifetime perspective. The book instead intends to address just a single issue. Before providing an illustration of its main topic, we feel the obligation to say a word on the controversial character of GE. First of all, we should say that we identify the GE approach as being based 3 on three principles .


Differential Topology and General Equilibrium with Complete and Incomplete Markets

Differential Topology and General Equilibrium with Complete and Incomplete Markets

Author: Antonio Villanacci

Publisher:

Published: 2014-01-15

Total Pages: 508

ISBN-13: 9781475736205

DOWNLOAD EBOOK


Book Synopsis Differential Topology and General Equilibrium with Complete and Incomplete Markets by : Antonio Villanacci

Download or read book Differential Topology and General Equilibrium with Complete and Incomplete Markets written by Antonio Villanacci and published by . This book was released on 2014-01-15 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Theory of Regular Economies

Theory of Regular Economies

Author: Ryō Nagata

Publisher: World Scientific

Published: 2004

Total Pages: 242

ISBN-13: 9789812794765

DOWNLOAD EBOOK

This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues. Contents: Foundations of Regular Economies: What Is a Regular Economy?; Regular Economies and Genericity; Formalization of Regular Economies; The Number of Equilibria in Regular Economies; Stability of Equilibria in Regular Economies; Transversality and Regular Economies: Space of Utility Functions; Transversality and Regular Economies; Transversality Theorems and Regular Economies; The Number of Extended Equilibria in Regular Economies; Developments of Regular Economies: Production Economy with Linear Activities; Incomplete Markets I; Incomplete Markets II. Readership: Upper level undergraduates, graduate students and researchers involved with the application of mathematics to economic analysis.


Book Synopsis Theory of Regular Economies by : Ryō Nagata

Download or read book Theory of Regular Economies written by Ryō Nagata and published by World Scientific. This book was released on 2004 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues. Contents: Foundations of Regular Economies: What Is a Regular Economy?; Regular Economies and Genericity; Formalization of Regular Economies; The Number of Equilibria in Regular Economies; Stability of Equilibria in Regular Economies; Transversality and Regular Economies: Space of Utility Functions; Transversality and Regular Economies; Transversality Theorems and Regular Economies; The Number of Extended Equilibria in Regular Economies; Developments of Regular Economies: Production Economy with Linear Activities; Incomplete Markets I; Incomplete Markets II. Readership: Upper level undergraduates, graduate students and researchers involved with the application of mathematics to economic analysis.


General Equilibrium Theory

General Equilibrium Theory

Author: Gerard Debreu

Publisher: Edward Elgar Publishing

Published: 1996

Total Pages: 584

ISBN-13:

DOWNLOAD EBOOK

This three-volume work provides a collection of essays on general equilibrium theory, illustrating its role as one of the major theoretical developments in economics since 1945. The aim is to improve access to the literature on this subject, which is not always readily available.


Book Synopsis General Equilibrium Theory by : Gerard Debreu

Download or read book General Equilibrium Theory written by Gerard Debreu and published by Edward Elgar Publishing. This book was released on 1996 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume work provides a collection of essays on general equilibrium theory, illustrating its role as one of the major theoretical developments in economics since 1945. The aim is to improve access to the literature on this subject, which is not always readily available.


Damped Asset Trading in the General Equilibrium Model with Incomplete Asset Markets

Damped Asset Trading in the General Equilibrium Model with Incomplete Asset Markets

Author: Karl Schmedders

Publisher:

Published: 1996

Total Pages: 168

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Damped Asset Trading in the General Equilibrium Model with Incomplete Asset Markets by : Karl Schmedders

Download or read book Damped Asset Trading in the General Equilibrium Model with Incomplete Asset Markets written by Karl Schmedders and published by . This book was released on 1996 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Theory Of Regular Economies

Theory Of Regular Economies

Author: Ryo Nagata

Publisher: World Scientific

Published: 2004-07-14

Total Pages: 235

ISBN-13: 981448265X

DOWNLOAD EBOOK

This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues.


Book Synopsis Theory Of Regular Economies by : Ryo Nagata

Download or read book Theory Of Regular Economies written by Ryo Nagata and published by World Scientific. This book was released on 2004-07-14 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues.


General Equilibrium Theory

General Equilibrium Theory

Author: Ross M. Starr

Publisher: Cambridge University Press

Published: 2011-04-25

Total Pages: 379

ISBN-13: 1139496735

DOWNLOAD EBOOK

General Equilibrium Theory: An Introduction presents the mathematical economic theory of price determination and resource allocation from elementary to advanced levels, suitable for advanced undergraduates and graduate students of economics. This Arrow–Debreu model (known for two of its most prominent founders, both Nobel Laureates) is the basis of modern price theory and of a wide range of applications. The new edition updates discussion throughout and expands the number and variety of exercises. It offers a revised and extended treatment of core convergence, including the case of non-convex preferences, and introduces the investigation of approximate equilibrium with U-shaped curves and non-convex preferences.


Book Synopsis General Equilibrium Theory by : Ross M. Starr

Download or read book General Equilibrium Theory written by Ross M. Starr and published by Cambridge University Press. This book was released on 2011-04-25 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Equilibrium Theory: An Introduction presents the mathematical economic theory of price determination and resource allocation from elementary to advanced levels, suitable for advanced undergraduates and graduate students of economics. This Arrow–Debreu model (known for two of its most prominent founders, both Nobel Laureates) is the basis of modern price theory and of a wide range of applications. The new edition updates discussion throughout and expands the number and variety of exercises. It offers a revised and extended treatment of core convergence, including the case of non-convex preferences, and introduces the investigation of approximate equilibrium with U-shaped curves and non-convex preferences.


Existence and Optimality of Competitive Equilibria

Existence and Optimality of Competitive Equilibria

Author: Charalambos D. Aliprantis

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 294

ISBN-13: 3662218933

DOWNLOAD EBOOK

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 Synopsis Existence and Optimality of Competitive Equilibria by : Charalambos D. Aliprantis

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.


Mathematical Analysis in Interdisciplinary Research

Mathematical Analysis in Interdisciplinary Research

Author: Ioannis N. Parasidis

Publisher: Springer Nature

Published: 2022-03-10

Total Pages: 1050

ISBN-13: 3030847217

DOWNLOAD EBOOK

This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.


Book Synopsis Mathematical Analysis in Interdisciplinary Research by : Ioannis N. Parasidis

Download or read book Mathematical Analysis in Interdisciplinary Research written by Ioannis N. Parasidis and published by Springer Nature. This book was released on 2022-03-10 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.


General Equilibrium Theory with Asymmetric Information and Incomplete Financial Markets

General Equilibrium Theory with Asymmetric Information and Incomplete Financial Markets

Author: Lionel Jean De Boisdeffre

Publisher:

Published: 2003

Total Pages:

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis General Equilibrium Theory with Asymmetric Information and Incomplete Financial Markets by : Lionel Jean De Boisdeffre

Download or read book General Equilibrium Theory with Asymmetric Information and Incomplete Financial Markets written by Lionel Jean De Boisdeffre and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: