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Author: Douglas S. Bridges
Publisher: Springer Science & Business Media
ISBN: 3642514952
Category : Business & Economics
Languages : en
Pages : 171
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Book Description
This monograph is devoted to a rigorous presentation of results about the representation of preference orderings by real-valued order isomorphisms ("utility functions"). The authors have gathered together, from sources scattered throughout a wide range of the literature of mathematics and economics, the most significant theorems and methods in their field. The book will be a valuable resource for theoretical economists, mathematicians, and all interested in partial orders and their representation. It could also be used as the text for an advanced graduate course in mathematical economics.
Author: Douglas S. Bridges
Publisher: Springer Science & Business Media
ISBN: 3642514952
Category : Business & Economics
Languages : en
Pages : 171
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Book Description
This monograph is devoted to a rigorous presentation of results about the representation of preference orderings by real-valued order isomorphisms ("utility functions"). The authors have gathered together, from sources scattered throughout a wide range of the literature of mathematics and economics, the most significant theorems and methods in their field. The book will be a valuable resource for theoretical economists, mathematicians, and all interested in partial orders and their representation. It could also be used as the text for an advanced graduate course in mathematical economics.
Author: Gianni Bosi
Publisher: Springer Nature
ISBN: 3030342263
Category : Technology & Engineering
Languages : en
Pages : 376
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Book Description
This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
Author: Michael Carter
Publisher: MIT Press
ISBN: 9780262531924
Category : Business & Economics
Languages : en
Pages : 678
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Book Description
This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
Author: Murat R. Sertel
Publisher: Forgotten Books
ISBN: 9781332881116
Category : Mathematics
Languages : en
Pages : 76
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Book Description
Excerpt from Order, Topology and Preference The topic of Section 4, the theory of preference, is largely but not solely the motivation for the study as a whole. Thus, some of the facts and notions presented before that section are not used at all in Section 4. Sections 1 - 2 are preparatory. Section 3 exploits some consequences of connectivity, especially for normally preordered spaces, thus extending the early work of Eilenberg [5] and Nachbin [9] on order and topology. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Salvatore Greco
Publisher: Springer
ISBN: 3642159761
Category : Technology & Engineering
Languages : en
Pages : 420
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Book Description
Decision making is an omnipresent, most crucial activity of the human being, and also of virtually all artificial broadly perceived “intelligent” systems that try to mimic human behavior, reasoning and choice processes. It is quite obvious that such a relevance of decision making had triggered vast research effort on its very essence, and attempts to develop tools and techniques which would make it possible to somehow mimic human decision making related acts, even to automate decision making processes that had been so far reserved for the human beings. The roots of those attempts at a scientific analysis can be traced to the ancient times but – clearly – they have gained momentum in the recent 50 or 100 years following a general boom in science. Depending on the field of science, decision making can be viewed in different ways. The most general view can be that decision making boils down to some cognitive, mental process(es) that lead to the selection of an option or a course of action among several alternatives. Then, looking in a deeper way, from a psychological perspective this process proceeds in the context of a set of needs, preferences, rational choice of an individual, a group of individuals, or even an organization. From a cognitive perspective, the decision making process proceeds in the context of various interactions with the environment.
Author: Geoffrey Heal
Publisher: Springer Science & Business Media
ISBN: 3642608914
Category : Mathematics
Languages : en
Pages : 216
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Book Description
The origins of this volume can be traced back to a conference on "Ethics, Economic and Business" organized by Columbia Busi ness School in March of 1993, and held in the splendid facilities of Columbia's Casa Italiana. Preliminary versions of several of the papers were presented at that meeting. In July 1994 the Fields Institute of Mathematical Sciences sponsored a workshop on "Geometry, Topology and Markets": additional papers and more refined versions of the original papers were presented there. They were published in their present versions in Social Choice and Wel fare, volume 14, number 2, 1997. The common aim of these workshops and this volume is to crystallize research in an area which has emerged rapidly in the last fifteen years, the area of topological approaches to social choice and the theory of games. The area is attracting increasing interest from social choice theorists, game theorists, mathematical econ omists and mathematicians, yet there is no authoritative collection of papers in the area. Nor is there any surveyor book to give a perspective and act as a guide to the issues in and contributions to this new area. One of the two aims of this volume is in some measure to play this role: the other aim is of course to present interesting and surprising new results.
Author: Peter C. Fishburn
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110811081
Category : Mathematics
Languages : en
Pages : 104
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Book Description
Author: Tamás Rapcsák
Publisher: Springer Science & Business Media
ISBN: 1461563577
Category : Mathematics
Languages : en
Pages : 381
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Book Description
Experience gained during a ten-year long involvement in modelling, program ming and application in nonlinear optimization helped me to arrive at the conclusion that in the interest of having successful applications and efficient software production, knowing the structure of the problem to be solved is in dispensable. This is the reason why I have chosen the field in question as the sphere of my research. Since in applications, mainly from among the nonconvex optimization models, the differentiable ones proved to be the most efficient in modelling, especially in solving them with computers, I started to deal with the structure of smooth optimization problems. The book, which is a result of more than a decade of research, can be equally useful for researchers and stu dents showing interest in the domain, since the elementary notions necessary for understanding the book constitute a part of the university curriculum. I in tended dealing with the key questions of optimization theory, which endeavour, obviously, cannot bear all the marks of completeness. What I consider the most crucial point is the uniform, differential geometric treatment of various questions, which provides the reader with opportunities for learning the structure in the wide range, within optimization problems. I am grateful to my family for affording me tranquil, productive circumstances. I express my gratitude to F.
Author: J. Wilhelm
Publisher: Springer Science & Business Media
ISBN: 3642463266
Category : Business & Economics
Languages : en
Pages : 118
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Book Description
Author: Garuti Claudio
Publisher: RWS Publications
ISBN: 1888603216
Category :
Languages : en
Pages : 147
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Book Description
"The group's decision is usually understood to be the reduction of different individual preferences among objects in a given set to a single collective preference or group preference. In recent years, the researchers have tended to concentrate on the analysis of decisions that are ""reasonable"" from certain point of view, rather than on how group choices are in fact made. This book focuses on the most complex decision making structures, in which several persons are involved in the decision making process, of which each has not only one decisional criterion but several. In addition these criteria are incommensurables, which are usually the case in reality. Particularly it addresses the problem of measuring in weighted decision making environments using the concept of compatibility of priority vectors."
