Additive Representations Of Preferences

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Additive Representations of Preferences

Author : P.P. Wakker
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 42,9 Mb
Release : 2013-03-14
Category : Business & Economics
ISBN : 9789401578158

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Additive Representations of Preferences by P.P. Wakker Pdf

Handbook of Utility Theory

Author : Salvador Barbera,Peter Hammond,Christian Seidl
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 40,7 Mb
Release : 2004-03-31
Category : Business & Economics
ISBN : 9781402079641

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Handbook of Utility Theory by Salvador Barbera,Peter Hammond,Christian Seidl Pdf

The standard rationality hypothesis is that behaviour can be represented as the maximization of a suitably restricted utility function. This hypothesis lies at the heart of a large body of recent work in economics, of course, but also in political science, ethics, and other major branches of the social sciences. Though this hypothesis of utility maximization deserves our continued respect, finding further refinements and developing new critiques remain areas of active research. In fact, many fundamental conceptual problems remain unsettled. Where others have been resolved, their resolutions may be too recent to have achieved widespread understanding among social scientists. Last but not least, a growing number of papers attempt to challenge the rationality hypothesis head on, at least in its more orthodox formulation. The main purpose of this Handbook is to make more widely available some recent developments in the area. Yet we are well aware that the final chapter of a handbook like this can never be written as long as the area of research remains active, as is certainly the case with utility theory. The editors originally selected a list of topics that seemed ripe enough at the time that the book was planned. Then they invited contributions from researchers whose work had come to their attention. So the list of topics and contributors is largely the editors' responsibility, although some potential con tributors did decline our invitation. Each chapter has also been refereed, and often significantly revised in the light of the referees' remarks.

Aggregation and Representation of Preferences

Author : Andranick S. Tanguiane
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642765162

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Aggregation and Representation of Preferences by Andranick S. Tanguiane Pdf

Aggregation is the conjunction of information, aimed at its compact represen tation. Any time when the totality of data is described in terms of general ized indicators, conventional counts, typical representatives and characteristic dependences, one directly or indirectly deals with aggregation. It includes revealing the most significant characteristics and distinctive features, quanti tative and qualitative analysis. As a result, the information becomes adaptable for further processing and convenient for human perception. Aggregation is widely used in economics, statistics, management, planning, system analysis, and many other fields. That is why aggregation is so important in data pro cessing. Aggregation of preferences is a particular case of the general problem of ag gregation. It arises in multicriteria decision-making and collective choice, when a set of alternatives has to be ordered with respect to contradicting criteria, or various individual opinions. However, in spite of apparent similarity the problems of multicriteria decision-making and collective choice are somewhat different. Indeed, an improvement in some specifications at the cost of worsen ing others is not the same as the satisfaction of interests of some individuals to the prejudice of the rest. In the former case the reciprocal compensations are considered within a certain entirety; in the latter we infringe upon the rights of independent individuals. Moreover, in multicriteria decision-making one usu ally takes into account objective factors, whereas in collective choice one has to compare subjective opinions which cannot be measured properly.

Utility of Gains and Losses

Author : R. Duncan Luce
Publisher : Psychology Press
Page : 344 pages
File Size : 50,9 Mb
Release : 2014-04-04
Category : Psychology
ISBN : 9781135662714

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Utility of Gains and Losses by R. Duncan Luce Pdf

This new monograph presents Dr. Luce's current understanding of the behavioral properties people exhibit (or should exhibit) when they make selections among alternatives and how these properties lead to numerical representations of those preferences. It summarizes, and places in historical perspective, the research Dr. Luce has done on utility theory for over 10 years. Included are axiomatic theoretical formulations, experiments designed to test individual assumptions, and analyses of the fit to bodies of data of numerical representations derived from the theory.

Multiple Criteria Decision Analysis

Author : Salvatore Greco,Matthias Ehrgott,José Rui Figueira
Publisher : Springer
Page : 1347 pages
File Size : 40,8 Mb
Release : 2016-02-18
Category : Business & Economics
ISBN : 9781493930944

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Multiple Criteria Decision Analysis by Salvatore Greco,Matthias Ehrgott,José Rui Figueira Pdf

In two volumes, this new edition presents the state of the art in Multiple Criteria Decision Analysis (MCDA). Reflecting the explosive growth in the field seen during the last several years, the editors not only present surveys of the foundations of MCDA, but look as well at many new areas and new applications. Individual chapter authors are among the most prestigious names in MCDA research, and combined their chapters bring the field completely up to date. Part I of the book considers the history and current state of MCDA, with surveys that cover the early history of MCDA and an overview that discusses the “pre-theoretical” assumptions of MCDA. Part II then presents the foundations of MCDA, with individual chapters that provide a very exhaustive review of preference modeling, along with a chapter devoted to the axiomatic basis of the different models that multiple criteria preferences. Part III looks at outranking methods, with three chapters that consider the ELECTRE methods, PROMETHEE methods, and a look at the rich literature of other outranking methods. Part IV, on Multiattribute Utility and Value Theories (MAUT), presents chapters on the fundamentals of this approach, the very well known UTA methods, the Analytic Hierarchy Process (AHP) and its more recent extension, the Analytic Network Process (ANP), as well as a chapter on MACBETH (Measuring Attractiveness by a Categorical Based Evaluation Technique). Part V looks at Non-Classical MCDA Approaches, with chapters on risk and uncertainty in MCDA, the decision rule approach to MCDA, the fuzzy integral approach, the verbal decision methods, and a tentative assessment of the role of fuzzy sets in decision analysis. Part VI, on Multiobjective Optimization, contains chapters on recent developments of vector and set optimization, the state of the art in continuous multiobjective programming, multiobjective combinatorial optimization, fuzzy multicriteria optimization, a review of the field of goal programming, interactive methods for solving multiobjective optimization problems, and relationships between MCDA and evolutionary multiobjective optimization (EMO). Part VII, on Applications, selects some of the most significant areas, including contributions of MCDA in finance, energy planning problems, telecommunication network planning and design, sustainable development, and portfolio analysis. Finally, Part VIII, on MCDM software, presents well known MCDA software packages.

Evaluation and Decision Models with Multiple Criteria

Author : Denis Bouyssou,Thierry Marchant,Marc Pirlot,Alexis Tsoukias,Philippe Vincke
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 48,5 Mb
Release : 2006-06-07
Category : Business & Economics
ISBN : 9780387310992

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Evaluation and Decision Models with Multiple Criteria by Denis Bouyssou,Thierry Marchant,Marc Pirlot,Alexis Tsoukias,Philippe Vincke Pdf

Formal decision and evaluation models are so widespread that almost no one can pretend not to have used or suffered the consequences of one of them. This book is a guide aimed at helping the analyst to choose a model and use it consistently. A sound analysis of techniques is proposed and the presentation can be extended to most decision and evaluation models as a "decision aiding methodology".

Handbook of Risk Theory

Author : Sabine Roeser
Publisher : Springer Science & Business Media
Page : 1209 pages
File Size : 55,5 Mb
Release : 2012
Category : Decision making
ISBN : 9789400714328

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Handbook of Risk Theory by Sabine Roeser Pdf

Risk has become one of the main topics in fields as diverse as engineering, medicine and economics, and it is also studied by social scientists, psychologists and legal scholars. But the topic of risk also leads to more fundamental questions such as: What is risk? What can decision theory contribute to the analysis of risk? What does the human perception of risk mean for society? How should we judge whether a risk is morally acceptable or not? Over the last couple of decades questions like these have attracted interest from philosophers and other scholars into risk theory. This handbook provides for an overview into key topics in a major new field of research. It addresses a wide range of topics, ranging from decision theory, risk perception to ethics and social implications of risk, and it also addresses specific case studies. It aims to promote communication and information among all those who are interested in theoetical issues concerning risk and uncertainty. This handbook brings together internationally leading philosophers and scholars from other disciplines who work on risk theory. The contributions are accessibly written and highly relevant to issues that are studied by risk scholars. We hope that the Handbook of Risk Theory will be a helpful starting point for all risk scholars who are interested in broadening and deepening their current perspectives.

Handbook of Risk Theory

Author : Rafaela Hillerbrand,Per Sandin,Martin Peterson
Publisher : Springer Science & Business Media
Page : 1209 pages
File Size : 41,5 Mb
Release : 2012-01-12
Category : Science
ISBN : 9789400714335

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Handbook of Risk Theory by Rafaela Hillerbrand,Per Sandin,Martin Peterson Pdf

Risk has become one of the main topics in fields as diverse as engineering, medicine and economics, and it is also studied by social scientists, psychologists and legal scholars. But the topic of risk also leads to more fundamental questions such as: What is risk? What can decision theory contribute to the analysis of risk? What does the human perception of risk mean for society? How should we judge whether a risk is morally acceptable or not? Over the last couple of decades questions like these have attracted interest from philosophers and other scholars into risk theory. This handbook provides for an overview into key topics in a major new field of research. It addresses a wide range of topics, ranging from decision theory, risk perception to ethics and social implications of risk, and it also addresses specific case studies. It aims to promote communication and information among all those who are interested in theoetical issues concerning risk and uncertainty. This handbook brings together internationally leading philosophers and scholars from other disciplines who work on risk theory. The contributions are accessibly written and highly relevant to issues that are studied by risk scholars. We hope that the Handbook of Risk Theory will be a helpful starting point for all risk scholars who are interested in broadening and deepening their current perspectives.

The Mathematics of Preference, Choice and Order

Author : Steven Brams,William V. Gehrlein,Fred S. Roberts
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 55,6 Mb
Release : 2009-02-11
Category : Mathematics
ISBN : 9783540791287

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The Mathematics of Preference, Choice and Order by Steven Brams,William V. Gehrlein,Fred S. Roberts Pdf

Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.

Introduction to the Analytic Hierarchy Process

Author : Matteo Brunelli
Publisher : Springer
Page : 83 pages
File Size : 48,5 Mb
Release : 2014-12-12
Category : Business & Economics
ISBN : 9783319125022

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Introduction to the Analytic Hierarchy Process by Matteo Brunelli Pdf

The Analytic Hierarchy Process (AHP) has been one of the foremost mathematical methods for decision making with multiple criteria and has been widely studied in the operations research literature as well as applied to solve countless real-world problems. This book is meant to introduce and strengthen the readers’ knowledge of the AHP, no matter how familiar they may be with the topic. This book provides a concise, yet self-contained, introduction to the AHP that uses a novel and more pedagogical approach. It begins with an introduction to the principles of the AHP, covering the critical points of the method, as well as some of its applications. Next, the book explores further aspects of the method, including the derivation of the priority vector, the estimation of inconsistency, and the use of AHP for group decisions. Each of these is introduced by relaxing initial assumptions. Furthermore, this booklet covers extensions of AHP, which are typically neglected in elementary expositions of the methods. Such extensions concern different numerical representations of preferences and the interval and fuzzy representations of preferences to account for uncertainty. During the whole exposition, an eye is kept on the most recent developments of the method.

Constructing Scalar-Valued Objective Functions

Author : Andranik Tangian,Josef Gruber
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642487736

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Constructing Scalar-Valued Objective Functions by Andranik Tangian,Josef Gruber Pdf

For several decades, scholars have developed methods for solving optimization problems which emerge in economics, econometrics, operations research, and other disciplines. A considerable effort has been made to construct equations from which constraints can be derived, but surprisingly little has been done to construct the other part of optimization models: the scalar-valued objective function, the constrained maximum or minimum of which gives the optimal solution. The given volume is intended to attract attention to the problem, to present the major achievements in the field and to stimulate further research and teaching.

Mathematical Psychology

Author : Jean-Paul Doignon,Jean-Claude Falmagne
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Psychology
ISBN : 9781461397281

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Mathematical Psychology by Jean-Paul Doignon,Jean-Claude Falmagne Pdf

Sometime in the late sixties, one of the editors of this volume realized that the mathematica psychologists in Europe-an odd lot mostly concentrated in Germany, the Netherlands, France, England and Belgium-were suffering from an acute sense of isolation. The papers that they presented at meetings of their national or regional societies had to be 'sanitized' to the point of misrepresentation. They were misunderstood. The mood was grim, depression was lurking. He decided that urgent action was required: a European gathering of mathematical psychologists was called in April 1971. Not being foolhardy, however, he took the precaution of choosing Paris as the meeting place. Around thirty mathematical psychologists received an invitation. They all came, justifying at least Paris's reputation. The meeting took place at the 'Maison des Belges' of the Cite Universitaire, Boulevard Jourdan, in front of the Parc Montsouris. As far as everyone remembers, the meeting was a full success. A happy birth had taken place. This editor then irresponsibly accepted a position in a university in the US, leaving an infant to the whims of the passers-by. Fortunately, a godfather came along. The next meeting took place in Nijmegen, in November 1971, under the loving care of Eddy Roskam. A tradition was established. The third meeting was in Oxford (1972); then in Marseilles (1973), Regensburg (1974), Stirling (1975), Stockholm (1976) . . . The infant became a toddler, then a vigorous child. This annual meeting is now an important event in the field.

Constructing and Applying Objective Functions

Author : Andranik S. Tangian,Josef Gruber
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642560385

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Constructing and Applying Objective Functions by Andranik S. Tangian,Josef Gruber Pdf

For some seven decades, econometrics has been almost exclusiveley dealing with constructing and applying econometric equation systems, which constitute constraints in econometric optimization models. The second major component, the scalarvalued objective function, has only in recent years attracted more attention and some progress has been made. This book is devoted to theories, models and methods for constructing scalarvalued objective functions for econometric optimization models, to their applications, and to some related topics like historical issues about pioneering contributions by Ragnar Frisch and Jan Tinbergen.

Decision Making Process

Author : Denis Bouyssou,Didier Dubois,Henri Prade,Marc Pirlot
Publisher : John Wiley & Sons
Page : 671 pages
File Size : 45,7 Mb
Release : 2013-05-10
Category : Business & Economics
ISBN : 9781118619520

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Decision Making Process by Denis Bouyssou,Didier Dubois,Henri Prade,Marc Pirlot Pdf

This book provides an overview of the main methods and results in the formal study of the human decision-making process, as defined in a relatively wide sense. A key aim of the approach contained here is to try to break down barriers between various disciplines encompassed by this field, including psychology, economics and computer science. All these approaches have contributed to progress in this very important and much-studied topic in the past, but none have proved sufficient so far to define a complete understanding of the highly complex processes and outcomes. This book provides the reader with state-of-the-art coverage of the field, essentially forming a roadmap to the field of decision analysis. The first part of the book is devoted to basic concepts and techniques for representing and solving decision problems, ranging from operational research to artificial intelligence. Later chapters provide an extensive overview of the decision-making process under conditions of risk and uncertainty. Finally, there are chapters covering various approaches to multi-criteria decision-making. Each chapter is written by experts in the topic concerned, and contains an extensive bibliography for further reading and reference.

The Handbook of Rational and Social Choice

Author : Paul Anand,Prasanta Pattanaik,Clemens Puppe
Publisher : Oxford University Press
Page : 592 pages
File Size : 42,9 Mb
Release : 2009-01-15
Category : Business & Economics
ISBN : 9780199290420

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The Handbook of Rational and Social Choice by Paul Anand,Prasanta Pattanaik,Clemens Puppe Pdf

This volume provides an overview of issues arising in work on the foundations of decision theory and social choice. The collection will be of particular value to researchers in economics with interests in utility or welfare, but also to any social scientist or philosopher interested in theories of rationality or group decision-making.