Equilibrium Theory In Infinite Dimensional Spaces

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Equilibrium Theory In Infinite Dimensional Spaces

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Author : M. Ali Khan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Equilibrium Theory In Infinite Dimensional Spaces written by M. Ali Khan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Business & Economics categories.

Apart from the underlying theme that all the contributions to this volume pertain to models set in an infinite dimensional space, they differ on many counts. Some were written in the early seventies while others are reports of ongoing research done especially with this volume in mind. Some are surveys of material that can, at least at this point in time, be deemed to have attained a satisfactory solution of the problem, while oth ers represent initial forays into an original and novel formulation. Some furnish alternative proofs of known, and by now, classical results, while others can be seen as groping towards and exploring formulations that have not yet reached a definitive form. The subject matter also has a wide leeway, ranging from solution concepts for economies to those for games and also including representation of preferences and discussion of purely mathematical problems, all within the rubric of choice variables belonging to an infinite dimensional space, interpreted as a commodity space or as a strategy space. Thus, this is a collective enterprise in a fairly wide sense of the term and one with the diversity of which we have interfered as little as possible. Our motivation for bringing all of this work under one set of covers was severalfold.

Equilibrium Theory In Infinite Dimensional Spaces

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Author : Ali Khan
language : en
Publisher: Springer Verlag
Release Date : 1991

Equilibrium Theory In Infinite Dimensional Spaces written by Ali Khan and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Business & Economics categories.

Equilibrium Theory In Infinite Dimensional Spaces

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Author : Andreu Mas-Colell
language : en
Publisher:
Release Date : 1990

Equilibrium Theory In Infinite Dimensional Spaces written by Andreu Mas-Colell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.

Advances In Mathematical Economics Volume 17

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Author : Shigeo Kusuoka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-20

Advances In Mathematical Economics Volume 17 written by Shigeo Kusuoka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Mathematics categories.

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.

Imperfect Information And Investor Heterogeneity In The Bond Market

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Author : Frank Riedel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Imperfect Information And Investor Heterogeneity In The Bond Market written by Frank Riedel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

Real world investors differ in their tastes and attitudes and they do not have, in general, perfect information about the future prospects of the economy. Most theoretical models, however, assume to the contrary that investors are homogeneous and perfectly informed about the market. In this book, an attempt is made to overcome these shortcomings. In three different case studies, the effect of heterogeneous time preferences, heterogeneous beliefs and imperfect information about the economy's growth on the term structure of interest rates are studied. The initial chapter gives an introduction to the theory of financial markets in continuous time under imperfect information and establishes the existence of an equilibrium with complete markets.

Methods Of Mathematical Finance

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Author : Ioannis Karatzas
language : en
Publisher: Springer
Release Date : 2017-01-10

Methods Of Mathematical Finance written by Ioannis Karatzas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-10 with Mathematics categories.

This monograph is a sequel to Brownian Motion and Stochastic Calculus by the same authors. Within the context of Brownian-motion-driven asset prices, it develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets. The latter topic is extended to the study of complete market equilibrium, providing conditions for the existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the text. This monograph should be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. Thechapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options. The present corrected printing includes, besides other minor corrections, an important correction of Theorem 6.4 and a simplification of the proof of Lemma 6.5. Also available by Ioannis Karatzas and Steven E. Shreve, Brownian Motion and Stochastic Calculus, Second Edition, Springer-Verlag New York, Inc., 1991, 470 pp., ISBN 0-387- 97655-8.

The Study Of Minimax Inequalities And Applications To Economies And Variational Inequalities

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Author : George Xian-Zhi Yuan
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

The Study Of Minimax Inequalities And Applications To Economies And Variational Inequalities written by George Xian-Zhi Yuan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

This book provides a unified treatment for the study of the existence of equilibria of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities, which strongly depend on his infinite dimensional version of the classical Knaster, Kuratowski and Mazurkiewicz Lemma (KKM Lemma) in 1961. Studied are applications of general system versions of minimax inequalities and generalized quasi-variational inequalities, and random abstract economies and its applications to the system of random quasi-variational inequalities are given.

Handbook Of Multivalued Analysis

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Author : Shouchuan Hu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Handbook Of Multivalued Analysis written by Shouchuan Hu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.

In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.

Differential And Integral Inequalities

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Author : Dorin Andrica
language : en
Publisher: Springer Nature
Release Date : 2019-11-14

Differential And Integral Inequalities written by Dorin Andrica and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Mathematics categories.

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Evolutionary Foundations Of Equilibria In Irrational Markets

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Author : Guo Ying Luo
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-19

Evolutionary Foundations Of Equilibria In Irrational Markets written by Guo Ying Luo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-19 with Business & Economics categories.

One of the core building blocks of traditional economic theory is the concept of equilibrium, a state of the world in which economic forces are balanced and in the absence of external influences the values of economic variables remain static. Many traditional equilibrium models, or equilibria, are established based on the rational behavior of individuals within financial markets, such as traders, market analysts, and investing firms, and their ability to maximize profits, no matter the cost. Yet what happens when these market participants behave in an irrational manner, and how does this impact economic equilibria? Contemporary economists have agreed that a process similar to Darwin’s Theory of Natural Selection takes over, whereby equilibria are shaped not by the behavior of individual participants but by an environment outside its control (i.e., an environment with little concern for maximizing profits). It is an environment in which those “selected” produce positive financial gains, but have no regard for how it was obtained or underlying motivations—and those participants suffering losses disappear altogether. Evolutionary Foundations of Equilibria in Irrational Markets proves traditional economic equilibria continue to occur despite natural selection in irrational markets. It covers a wide sampling of equilibria under various scenarios, and each chapter addresses the results of these models at an aggregate level. The text is supplemented with charts and figures to drive home key findings and proofs, making it of interest to students and researchers in the areas of economics and behavioral finance.