Additive Representation for Preferences Over Menus in Finite Choice Settings

Additive Representation for Preferences Over Menus in Finite Choice Settings
Author: Leandro Gorno
Publisher:
Total Pages: 0
Release: 2012
Genre:
ISBN:

This paper proves that the additive representation of Dekel-Lipman-Rustichini (2001) is consistent with any preference relation among the deterministic alternatives in their model. The result yields an additive representation which relaxes both the monotonicity and ordinal sub-modularity axioms in Kreps (1979) flexibility representation theorem.

Aggregation and Representation of Preferences

Aggregation and Representation of Preferences
Author: Andranick S. Tanguiane
Publisher: Springer Science & Business Media
Total Pages: 335
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642765165

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.

The Mathematics of Preference, Choice and Order

The Mathematics of Preference, Choice and Order
Author: Steven Brams
Publisher: Springer Science & Business Media
Total Pages: 412
Release: 2009-02-11
Genre: Mathematics
ISBN: 3540791280

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.

A Short Introduction to Preferences

A Short Introduction to Preferences
Author: Francesca Bellet
Publisher: Springer Nature
Total Pages: 90
Release: 2022-06-01
Genre: Computers
ISBN: 3031015568

Computational social choice is an expanding field that merges classical topics like economics and voting theory with more modern topics like artificial intelligence, multiagent systems, and computational complexity. This book provides a concise introduction to the main research lines in this field, covering aspects such as preference modelling, uncertainty reasoning, social choice, stable matching, and computational aspects of preference aggregation and manipulation. The book is centered around the notion of preference reasoning, both in the single-agent and the multi-agent setting. It presents the main approaches to modeling and reasoning with preferences, with particular attention to two popular and powerful formalisms, soft constraints and CP-nets. The authors consider preference elicitation and various forms of uncertainty in soft constraints. They review the most relevant results in voting, with special attention to computational social choice. Finally, the book considers preferences in matching problems. The book is intended for students and researchers who may be interested in an introduction to preference reasoning and multi-agent preference aggregation, and who want to know the basic notions and results in computational social choice. Table of Contents: Introduction / Preference Modeling and Reasoning / Uncertainty in Preference Reasoning / Aggregating Preferences / Stable Marriage Problems

The Handbook of Rational and Social Choice

The Handbook of Rational and Social Choice
Author: Paul Anand
Publisher: OUP Oxford
Total Pages: 608
Release: 2009-01-15
Genre: Business & Economics
ISBN: 0191608769

The Handbook of Rational and Social Choice provides an overview of issues arising in work on the foundations of decision theory and social choice over the past three decades. Drawing on work by economic theorists mainly, but also with contributions from political science, philosophy and psychology, the collection shows how the related areas of decision theory and social choice have developed in their applications and moved well beyond the basic models of expected utility and utilitarian approaches to welfare economics. Containing twenty-three contributions, in many cases by leading figures in their fields, the handbook shows how the normative foundations of economics have changed dramatically as more general and explicit models of utility and group choice have been developed. This is perhaps the first time these developments have been brought together in a manner that seeks to identify and make accessible the recent themes and developments that have been of particular interest to researchers in recent years. The collection will be of particular value to researchers in economics with interests in utility or welfare but it will also be of interest to any social scientist or philosopher interested in theories of rationality or group decision-making.

Evaluation and Decision Models with Multiple Criteria

Evaluation and Decision Models with Multiple Criteria
Author: Denis Bouyssou
Publisher: Springer Science & Business Media
Total Pages: 460
Release: 2006-06-07
Genre: Business & Economics
ISBN: 0387310991

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".

Human preferences and risky choices

Human preferences and risky choices
Author: Petko Kusev
Publisher: Frontiers E-books
Total Pages: 69
Release: 2012
Genre: Risk-taking (Psychology)
ISBN: 2889190560

"There are different views on what preferences for risks are and whether they are indicators of stable, underlying generic cognitive systems. Preferences could be conceived as an attitude towards a set of properties of context, memory and affect - a gauge of how much uncertainty one is willing to tolerate. This Research Topic aims to initiate a discussion on the stability of preferences for risks - as research has shown that different decision domains, response modes, and framing facilitate preference reversals. A consistent claim from behavioural decision researchers is that, contrary to the assumptions of classical economics, preferences are not stable and inherent constructs in individuals but are modified by levels of accessibility in memory, context, decision complexity, and type of psychological processing (e.g., sampling or computational "trade-offs" in processing). For example, in a sampling-based decision-making paradigm it is argued that preferences are not essential for making risky decisions. The existing theoretical and empirical evidence reveals that human preferences are relative and unstable, undermining the predictions of normative theory. Recent theoretical accounts in psychology have expanded the debate further by offering evolutionary models of decision-making under risk. While most of the researcher has explored optimisation goals (traditionally assumed in economics), evolutionary psychology has promoted adaptation-driven processes for risky choices. Moreover, we have witnessed a renaissance of preferences as affect rather than as a construct with psycho-economical properties. Although behavioural decision research is still engaged in challenging the foundation of economic theory, at present, opinions seem less unified as to whether preferences reflect common psychological constructs. The Research Topic will focus on human preferences and risky choices. Topics include: Normative, descriptive and experience-based decision making, Preference reversals, Accessibility in memory, Context dependence, Psychological processing (including i) probabilities, utilities, computations and 'trade-offs', and ii) sampling), Affect, and Evolutionary accounts." -- Provided by publisher.

Evaluation and Decision Models with Multiple Criteria

Evaluation and Decision Models with Multiple Criteria
Author: Raymond Bisdorff
Publisher: Springer
Total Pages: 648
Release: 2015-06-09
Genre: Business & Economics
ISBN: 3662468166

This book showcases a large variety of multiple criteria decision applications (MCDAs), presenting them in a coherent framework provided by the methodology chapters and the comments accompanying each case study. The chapters describing MCDAs invite the reader to experiment with MCDA methods and perhaps develop new variants using data from these case studies or other cases they encounter, equipping them with a broader perception of real-world problems and how to overcome them with the help of MCDAs.