Charalambos D. Aliprantis – författare

Visar alla böcker från författaren . Handla med fri frakt och snabb leverans.

34 produkter

Kategorier

34 produkter

Problems in Real Analysis
AvCharalambos D. Aliprantis,Owen Burkinshaw
Inbunden, Engelska, 1998
1 010 kr
Skickas inom 10-15 vardagar
A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent source, and is an invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods.

Problems in Real Analysis teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in Principles of Real Analysis, Third Edition. The problems are distributed in forty sections, and cover the entire spectrum of difficulty.
An ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis An invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods Teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems
Principles of Real Analysis
AvCharalambos D. Aliprantis,Owen Burkinshaw
Inbunden, Engelska, 1998
1 299 kr
Skickas inom 10-15 vardagar
With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis. Gives a unique presentation of integration theory Over 150 new exercises integrated throughout the text Presents a new chapter on Hilbert Spaces Provides a rigorous introduction to measure theory Illustrated with new and varied examples in each chapter Introduces topological ideas in a friendly manner Offers a clear connection between real analysis and functional analysis Includes brief biographies of mathematicians
Principles of Real Analysis
AvOwen Burkinshaw,Charalambos D. Aliprantis
E-bok
PDF, Engelska, 1990
781 kr
Läs direkt efter köp
This major textbook on real analysis is now available in a corrected and slightly amended reprint. It covers the basic theory of integration in a clear, well-organized manner using an imaginative and highly practical synthesis of the ''Daniell method'' and the measure-theoretic approach. It is the ideal text for senior undergraduate and first-year graduate courses in real analysis, assuming student familiarity with advanced calculus and basic algebraic concepts.
Games and Decision Making
AvCharalambos D. Aliprantis,Subir K. Chakrabarti
Inbunden, Engelska, 2012
3 795 kr
Skickas inom 5-8 vardagar
Games and Decision Making, Second Edition, is a unique blend of decision theory and game theory. From classical optimization to modern game theory, authors Charalambos D. Aliprantis and Subir K. Chakrabarti show the importance of mathematical knowledge in understanding and analyzing issues in decision making. Through an imaginative selection of topics, Aliprantis and Chakrabarti treat decision and game theory as part of one body of knowledge. They move from problems involving the individual decision-maker to progressively more complex problems such as sequential rationality, auctions, and bargaining. By building each chapter on material presented earlier, the authors offer a self-contained and comprehensive treatment of these topics. Successfully class-tested in an advanced undergraduate course at the Krannert School of Management and in a graduate course in economics at Indiana University, Games and Decision Making, Second Edition, is an essential text for advanced undergraduates and graduate students of decision theory and game theory. The book is accessible to students who have a good basic understanding of elementary calculus and probability theory.New to this Edition* Chapter 2 includes new sections on two-person games, best-response strategies, mixed strategies, and incomplete information* Chapter 4 has been expanded to provide new material on behavior strategies and applications* The chapter on auctions (5) includes a new section on revenue equivalence* Offers two new chapters, on repeated games (7) and existence results (9)* New applications have been added to all the chapters
Locally Solid Riesz Spaces with Applications to Economics
AvCharalambos D. Aliprantis,Owen Burkinshaw
Inbunden, Engelska, 2003
1 510 kr
Skickas inom 5-8 vardagar
Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration.This monograph is the revised edition of the authors' book ""Locally Solid Riesz Spaces"" (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operators between Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces - the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties.A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that the existence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques from the theory of topological Riesz spaces. At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presents complete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research.
Cones and Duality
AvCharalambos D. Aliprantis,Rabee Tourky
Inbunden, Engelska, 2007
1 169 kr
Skickas inom 5-8 vardagar
Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950 mainly through the efforts of the Russian, Japanese, German, and Dutch schools. Since cones are being employed to solve optimization problems, the theory of ordered vector spaces is an indispensable tool for solving a variety of applied problems appearing in several diverse areas, such as engineering, econometrics, and the social sciences. For this reason this theory plays a prominent role not only in functional analysis but also in a wide range of applications. This is a book about a modern perspective on cones and ordered vector spaces. It includes material that has not been presented earlier in a monograph or a textbook. With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance. Therefore, the book will be valuable to any researcher and graduate student who works in mathematics, engineering, economics, finance, and any other field that uses optimization techniques.
Positive Operators
AvCharalambos D. Aliprantis,Owen Burkinshaw
Inbunden, Engelska, 2006
1 730 kr
Skickas inom 10-15 vardagar
Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since the first publication of this book, (Academic Press, 1985), the subject of positive operators and Riesz spaces has found many applications in several disciplines, including social sciences and engineering. It is well known that many linear operators between Banach spaces arising in classical analysis are in fact positive operators. Therefore we study here positive operators in the setting of Riesz spaces and Banach lattices and from both the algebraic and topological points of view. Special emphasis is given to the compactness properties of positive operators and their relations to the order structures of the spaces the operators are acting upon. In order to make the book as self-sufficient as possible, some basic results from the theory of Riesz spaces and Banach lattices are included with proofs where necessary. However, familiarity with the elementary concepts of real analysis and functional analysis is assumed. The book is divided into five chapters, each consisting of nineteen sections all ending with exercises designed to supplement and illustrate the material.
Positive Operators
AvOwen Burkinshaw,Charalambos D. Aliprantis
E-bok
PDF, Engelska, 2006
2 201 kr
Läs direkt efter köp
Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since the first publication of this book, (Academic Press, 1985), the subject of positive operators and Riesz spaces has found many applications in several disciplines, including social sciences and engineering. It is well known that many linear operators between Banach spaces arising in classical analysis are in fact positive operators. Therefore we study here positive operators in the setting of Riesz spaces and Banach lattices and from both the algebraic and topological points of view. Special emphasis is given to the compactness properties of positive operators and their relations to the order structures of the spaces the operators are acting upon. In order to make the book as self-sufficient as possible, some basic results from the theory of Riesz spaces and Banach lattices are included with proofs where necessary. However, familiarity with the elementary concepts of real analysis and functional analysis is assumed. The book is divided into five chapters, each consisting of nineteen sections all ending with exercises designed to supplement and illustrate the material.
Locally Solid Riesz Spaces with Applications to Economics
AvCharalambos D. Aliprantis,Owen Burkinshaw
Häftad, Engelska, 2003
1 510 kr
Skickas inom 5-8 vardagar
The Mathematical Surveys and Monographs series of the AMS feature some of the Society's most distinguished titles. This book presents new and original material; a well-known author; many exercises with solutions; offers some surprising new mathematical applications to economics.
Del 18 - Studies in Economic Theory
Assets, Beliefs, and Equilibria in Economic Dynamics
Essays in Honor of Mordecai Kurz
AvCharalambos D. Aliprantis,Kenneth J. Arrowm. fl.
Inbunden, Engelska, 2003
2 226 kr
Skickas inom 10-15 vardagar
A collection of papers dealing with a broad range of topics in mathematical economics, game theory and economic dynamics. The contributions present both theoretical and applied research. The volume is dedicated to Mordecai Kurz. The papers were presented in a special symposium co-hosted by the Stanford University Department of Economics and by the Stanford Institute of Economic Policy Research in August 2002.
Rationality and Equilibrium
A Symposium in Honor of Marcel K. Richter
AvCharalambos D. Aliprantis,Rosa L. Matzkinm. fl.
Inbunden, Engelska, 2006
1 084 kr
Skickas inom 10-15 vardagar
This book contains a collection of original and state-of-the-art contributions in rational choice and general equilibrium theory. Among the topics are preferences, demand, equilibrium, core allocations, and testable restrictions. The contributing authors are Daniel McFadden, Rosa Matzkin, Emma Moreno-Garcia, Roger Lagunoff, Yakar Kannai, Myrna Wooders, James Moore, Ted Bergstrom, Luca Anderlini, Lin Zhou, Mark Bagnoli, Alexander Kovalenkov, Carlos Herves-Beloso, Michaela Topuzu, Bernard Cornet, Andreu Mas-Colell and Nicholas Yannelis.
Rationality and Equilibrium
A Symposium in Honor of Marcel K. Richter
AvNicholas C. Yannelis,James C. Moorem. fl.
E-bok
PDF, Engelska, 2006
1 413 kr
Läs direkt efter köp
This book contains a collection of original and state-of-the-art contributions in rational choice and general equilibrium theory. Among the topics are preferences, demand, equilibrium, core allocations, and testable restrictions. The contributing authors are Daniel McFadden, Rosa Matzkin, Emma Moreno-Garcia, Roger Lagunoff, Yakar Kannai, Myrna Wooders, James Moore, Ted Bergstrom, Luca Anderlini, Lin Zhou, Mark Bagnoli, Alexander Kovalenkov, Carlos Herves-Beloso, Michaela Topuzu, Bernard Cornet, Andreu Mas-Colell and Nicholas Yannelis.
Infinite Dimensional Analysis
A Hitchhiker's Guide
AvCharalambos D. Aliprantis,Kim C. Border
Inbunden, Engelska, 2006
1 084 kr
Skickas inom 10-15 vardagar
This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. The most obvious change is the creation of a separate Chapter 7 on convex analysis. Parts of this chapter appeared in elsewhere in the second edition, but much of it is new to the third edition. In particular, there is an expanded discussion of support points of convex sets, and a new section on subgradients of convex functions. There is much more material on the special properties of convex sets and functions in ?nite dimensional spaces. There are improvements and additions in almost every chapter. There is more new material than might seem at ?rst glance, thanks to a change in font that - duced the page count about ?ve percent. We owe a huge debt to Valentina Galvani, Daniela Puzzello, and Francesco Rusticci, who were participants in a graduate seminar at Purdue University and whose suggestions led to many improvements, especially in chapters ?ve through eight. We particularly thank Daniela Puzzello for catching uncountably many errors throughout the second edition, and simplifying the statements of several theorems and proofs. In another graduate seminar at Caltech, many improvements and corrections were suggested by Joel Grus, PJ Healy, Kevin Roust, Maggie Penn, and Bryan Rogers.
Infinite Dimensional Analysis
A Hitchhiker''s Guide
AvKim C. Border,Charalambos D. Aliprantis
E-bok
PDF, Engelska, 2006
950 kr
Läs direkt efter köp
This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. The most obvious change is the creation of a separate Chapter 7 on convex analysis. Parts of this chapter appeared in elsewhere in the second edition, but much of it is new to the third edition. In particular, there is an expanded discussion of support points of convex sets, and a new section on subgradients of convex functions. There is much more material on the special properties of convex sets and functions in ?nite dimensional spaces. There are improvements and additions in almost every chapter. There is more new material than might seem at ?rst glance, thanks to a change in font that - duced the page count about ?ve percent. We owe a huge debt to Valentina Galvani, Daniela Puzzello, and Francesco Rusticci, who were participants in a graduate seminar at Purdue University and whose suggestions led to many improvements, especially in chapters ?ve through eight. We particularly thank Daniela Puzzello for catching uncountably many errors throughout the second edition, and simplifying the statements of several theorems and proofs. In another graduate seminar at Caltech, many improvements and corrections were suggested by Joel Grus, PJ Healy, Kevin Roust, Maggie Penn, and Bryan Rogers.
Infinite Dimensional Analysis
A Hitchhiker's Guide
AvCharalambos D. Aliprantis,Kim C. Border
Häftad, Engelska, 2007
761 kr
Skickas inom 10-15 vardagar
This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. The most obvious change is the creation of a separate Chapter 7 on convex analysis. Parts of this chapter appeared in elsewhere in the second edition, but much of it is new to the third edition. In particular, there is an expanded discussion of support points of convex sets, and a new section on subgradients of convex functions. There is much more material on the special properties of convex sets and functions in ?nite dimensional spaces. There are improvements and additions in almost every chapter. There is more new material than might seem at ?rst glance, thanks to a change in font that - duced the page count about ?ve percent. We owe a huge debt to Valentina Galvani, Daniela Puzzello, and Francesco Rusticci, who were participants in a graduate seminar at Purdue University and whose suggestions led to many improvements, especially in chapters ?ve through eight. We particularly thank Daniela Puzzello for catching uncountably many errors throughout the second edition, and simplifying the statements of several theorems and proofs. In another graduate seminar at Caltech, many improvements and corrections were suggested by Joel Grus, PJ Healy, Kevin Roust, Maggie Penn, and Bryan Rogers.
Existence and Optimality of Competitive Equilibria
AvCharalambos D. Aliprantis,Donald J. Brownm. fl.
Häftad, Engelska, 1990
1 006 kr
Skickas inom 10-15 vardagar
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], [23J or [52J may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
Del 2 - Studies in Economic Theory
Positive Operators, Riesz Spaces, and Economics
Proceedings of a Conference at Caltech, Pasadena, California, April 16–20, 1990
AvCharalambos D. Aliprantis,Kim C. Borderm. fl.
Inbunden, Engelska, 1991
1 084 kr
Skickas inom 10-15 vardagar
Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 16-20, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the week-long conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D'Elia who handled the delicate logistics for the smooth running of the confer ence.
Problems in Equilibrium Theory
AvCharalambos D. Aliprantis,Uschi Backes-Gellner
Inbunden, Engelska, 1996
546 kr
Skickas inom 10-15 vardagar
In studying General Equilibrium Theory the student must master first the theory and then apply it to solve problems. At the graduate level there is no book devoted exclusively to teaching problem solving. This book teaches for the first time the basic methods of proof and problem solving in General Equilibrium Theory. The problems cover the entire spectrum of difficulty; some are routine, some require a good grasp of the material involved, and some are exceptionally challenging. The book presents complete solutions to two hundred problems. In searching for the basic required techniques, the student will find a wealth of new material incorporated into the solutions. The student is challenged to produce solutions which are different from the ones presented in the book.
Current Trends in Economics
Theory and Applications
AvAhmet Alkan,Charalambos D. Aliprantism. fl.
Inbunden, Engelska, 1999
1 671 kr
Skickas inom 10-15 vardagar
The twenty-nine papers selected for this volume cover topics in cooperative and noncooperative games, social choice and welfare, bargaining, matchings, auctions, mechanism design, general equilibrium, general equilibrium with finance, industrial organization, macroeconomics, and experimental economics. They reflect the diversity and depth of thought and method in economic theory and applications, as shown in the meetings of the Society for the Advancement of Economic Theory (SAET).
Del 18 - Studies in Economic Theory
Assets, Beliefs, and Equilibria in Economic Dynamics
Essays in Honor of Mordecai Kurz
AvCharalambos D. Aliprantis,Kenneth J. Arrowm. fl.
Häftad, Engelska, 2010
2 161 kr
Skickas inom 10-15 vardagar
A collection of papers dealing with a broad range of topics in mathematical economics, game theory and economic dynamics. The contributions present both theoretical and applied research. The volume is dedicated to Mordecai Kurz. The papers were presented in a special symposium co-hosted by the Stanford University Department of Economics and by the Stanford Institute of Economic Policy Research in August 2002.
Del 26 - Studies in Economic Theory
Rationality and Equilibrium
A Symposium in Honor of Marcel K. Richter
AvCharalambos D. Aliprantis,Rosa L. Matzkinm. fl.
Häftad, Engelska, 2010
1 084 kr
Skickas inom 10-15 vardagar
This book contains a collection of original and state-of-the-art contributions in rational choice and general equilibrium theory. Among the topics are preferences, demand, equilibrium, core allocations, and testable restrictions. The contributing authors are Daniel McFadden, Rosa Matzkin, Emma Moreno-Garcia, Roger Lagunoff, Yakar Kannai, Myrna Wooders, James Moore, Ted Bergstrom, Luca Anderlini, Lin Zhou, Mark Bagnoli, Alexander Kovalenkov, Carlos Herves-Beloso, Michaela Topuzu, Bernard Cornet, Andreu Mas-Colell and Nicholas Yannelis.
Problems in Equilibrium Theory
AvCharalambos D. Aliprantis,Uschi Backes-Gellner
Häftad, Engelska, 2010
546 kr
Skickas inom 10-15 vardagar
In studying General Equilibrium Theory the student must master first the theory and then apply it to solve problems. At the graduate level there is no book devoted exclusively to teaching problem solving. This book teaches for the first time the basic methods of proof and problem solving in General Equilibrium Theory. The problems cover the entire spectrum of difficulty; some are routine, some require a good grasp of the material involved, and some are exceptionally challenging. The book presents complete solutions to two hundred problems. In searching for the basic required techniques, the student will find a wealth of new material incorporated into the solutions. The student is challenged to produce solutions which are different from the ones presented in the book.
Del 8 - Studies in Economic Theory
Current Trends in Economics
Theory and Applications
AvAhmet Alkan,Charalambos D. Aliprantism. fl.
Häftad, Engelska, 2010
1 623 kr
Skickas inom 10-15 vardagar
In 1990, the Society for the Advancement of Economic Theory (SAET) was founded with the main purpose to advance our knowledge in theoretical economics and to facilitate communication among researchers in economics, mathematics, game theory and any other field which is po tentially useful to economic theory. To achieve these goals, SAET sponsors the research journal Economic Theory published by Springer-Verlag and holds international conferences every other year. The first two conferences SAET took place in the island of Cephalonia, Greece, in the summers of of 1993 and 1995. In the summer of 1997, the conference was held in Antalya, Turkey. The twenty-nine papers in this volume are mostly by participants in the Antalya meeting of SAET and form a broad sample of the 150 papers pre sented there. Topics covered include cooperative and noncooperative games, social choice and welfare, bargaining, matchings, auctions, mechanism de sign, general equilibrium, general equilibrium with finance, industrial or ganization, macroeconomics, and experimental economics. We have chosen to present the papers according to the alphabetical order of first author names instead of grouping them by topic or theme. We have appended a complete listing of the sessions in the conference together with a list of program committee members and of sponsors at the end of the volume.
Positive Operators, Riesz Spaces, and Economics
Proceedings of a Conference at Caltech, Pasadena, California, April 16–20, 1990
AvWilhelmus A.J. Luxemburg,Kim C. Borderm. fl.
E-bok
PDF, Engelska, 2012
1 413 kr
Läs direkt efter köp
Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 16-20, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the week-long conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D''Elia who handled the delicate logistics for the smooth running of the confer ence.
Existence and Optimality of Competitive Equilibria
AvOwen Burkinshaw,Donald J. Brownm. fl.
E-bok
PDF, Engelska, 2012
1 292 kr
Läs direkt efter köp
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], [23J or [52J may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
Del 2 - Studies in Economic Theory
Positive Operators, Riesz Spaces, and Economics
Proceedings of a Conference at Caltech, Pasadena, California, April 16–20, 1990
AvCharalambos D. Aliprantis,Kim C. Borderm. fl.
Häftad, Engelska, 2012
1 084 kr
Skickas inom 10-15 vardagar
Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 16-20, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the week-long conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D'Elia who handled the delicate logistics for the smooth running of the confer ence.
Infinite Dimensional Analysis
A Hitchhiker’s Guide
AvKim C. Border,Charalambos D. Aliprantis
E-bok
PDF, Engelska, 2013
1 136 kr
Läs direkt efter köp
This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90. We realized that the typical graduate student in mathematical economics has to be familiar with a vast amount of material that spans several traditional fields in mathematics. Much of the mate rial appears only in esoteric research monographs that are designed for specialists, not for the sort of generalist that our students need be. We hope that in a small way this text will make the material here accessible to a much broader audience. While our motivation is to present and orga nize the analytical foundations underlying modern economics and finance, this is a book of mathematics, not of economics. We mention applications to economics but present very few of them. They are there to convince economists that the material has so me relevance and to let mathematicians know that there are areas of application for these results. We feel that this text could be used for a course in analysis that would benefit math ematicians, engineers, and scientists. Most of the material we present is available elsewhere, but is scattered throughout a variety of sources and occasionally buried in obscurity. Some of our results are original (or more likely, independent rediscoveries). We have included some material that we cannot honestly say is neces sary to understand modern economic theory, but may yet prove useful in future research.
Problems in Equilibrium Theory
AvCharalambos D. Aliprantis,Uschi Backes-Gellner
E-bok
PDF, Engelska, 2013
712 kr
Läs direkt efter köp
In studying General Equilibrium Theory the student must master first the theory and then apply it to solve problems. At the graduate level there is no book devoted exclusively to teaching problem solving. This book teaches for the first time the basic methods of proof and problem solving in General Equilibrium Theory. The problems cover the entire spectrum of difficulty; some are routine, some require a good grasp of the material involved, and some are exceptionally challenging. The book presents complete solutions to two hundred problems. In searching for the basic required techniques, the student will find a wealth of new material incorporated into the solutions. The student is challenged to produce solutions which are different from the ones presented in the book.
Current Trends in Economics
Theory and Applications
AvNicholas C. Yannelis,Charalambos D. Aliprantism. fl.
E-bok
PDF, Engelska, 2013
2 044 kr
Läs direkt efter köp
In 1990, the Society for the Advancement of Economic Theory (SAET) was founded with the main purpose to advance our knowledge in theoretical economics and to facilitate communication among researchers in economics, mathematics, game theory and any other field which is po tentially useful to economic theory. To achieve these goals, SAET sponsors the research journal Economic Theory published by Springer-Verlag and holds international conferences every other year. The first two conferences SAET took place in the island of Cephalonia, Greece, in the summers of of 1993 and 1995. In the summer of 1997, the conference was held in Antalya, Turkey. The twenty-nine papers in this volume are mostly by participants in the Antalya meeting of SAET and form a broad sample of the 150 papers pre sented there. Topics covered include cooperative and noncooperative games, social choice and welfare, bargaining, matchings, auctions, mechanism de sign, general equilibrium, general equilibrium with finance, industrial or ganization, macroeconomics, and experimental economics. We have chosen to present the papers according to the alphabetical order of first author names instead of grouping them by topic or theme. We have appended a complete listing of the sessions in the conference together with a list of program committee members and of sponsors at the end of the volume.
Infinite Dimensional Analysis
A Hitchhiker’s Guide
AvKim C. Border,Charalambos D. Aliprantis
E-bok
PDF, Engelska, 2013
1 136 kr
Läs direkt efter köp
In the nearly five years since the publication of what we refer to as The Hitchhiker''s Guide, we have been the recipients of much advice and many complaints. That, combined with the economics of the publishing industry, convinced us that the world would be a better place if we published a second edition of our book, and made it available in paperback at a more modest price. The most obvious difference between the second and the original edition is the reorganization of material that resulted in three new chapters. Chap ter 4 collects many of the purely set-theoretical results about measurable structures such as semirings and a-algebras. The material in this chapter is quite independent from notions of measure and integration, and is easily ac cessible, so we thought it should come sooner. We also divided the chapter on correspondences into two separate chapters, one dealing with continuity, the other with measurability. The material on measurable correspondences is more detailed and, we hope, better written. We also put many of the representation theorems into their own Chapter 13. This arrangement has the side effect of forcing the renumbering of almost every result in the text, thus rendering the original version obsolete. We feel bad about that, but like Humpty Dumpty, we doubt we could put it back the way it was. The second most noticeable change is the addition of approximately seventy pages of new material.

Charalambos D. Aliprantis – författare

Problems in Real Analysis

Principles of Real Analysis

Principles of Real Analysis

Games and Decision Making

Locally Solid Riesz Spaces with Applications to Economics

Cones and Duality

Positive Operators

Positive Operators

Locally Solid Riesz Spaces with Applications to Economics

Assets, Beliefs, and Equilibria in Economic Dynamics

Rationality and Equilibrium

Rationality and Equilibrium

Infinite Dimensional Analysis

Infinite Dimensional Analysis

Infinite Dimensional Analysis

Existence and Optimality of Competitive Equilibria

Positive Operators, Riesz Spaces, and Economics

Problems in Equilibrium Theory

Current Trends in Economics

Assets, Beliefs, and Equilibria in Economic Dynamics

Rationality and Equilibrium

Problems in Equilibrium Theory

Current Trends in Economics

Positive Operators, Riesz Spaces, and Economics

Existence and Optimality of Competitive Equilibria

Positive Operators, Riesz Spaces, and Economics

Infinite Dimensional Analysis

Problems in Equilibrium Theory

Current Trends in Economics

Infinite Dimensional Analysis