Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Mathematical Aggregation Of Preferences
Download Mathematical Aggregation Of Preferences full books in PDF, epub, and Kindle. Read online Mathematical Aggregation Of Preferences ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author :Andranick S. Tanguiane Publisher :Springer Science & Business Media ISBN 13 :3642765165 Total Pages :335 pages Book Rating :4.6/5 (427 download)
Book Synopsis Aggregation and Representation of Preferences by : Andranick S. Tanguiane
Download or read book Aggregation and Representation of Preferences written by Andranick S. Tanguiane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Aggregation of Preferences by :
Download or read book Mathematical Aggregation of Preferences written by and published by . This book was released on 1973 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Economics and Mathematics of Aggregation by : Pierre-André Chiappori
Download or read book The Economics and Mathematics of Aggregation written by Pierre-André Chiappori and published by Now Publishers Inc. This book was released on 2009 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Economics and Mathematics of Aggregation provides a general characterization of group behavior in a market environment. A crucial feature of the authors' approach is that they do not restrict the form of individual preferences or the nature of individual consumptions. The authors allow for public as well as private consumption, for intragroup production, and for any type of consumption externalities across group members. The main questions addressed are: what restrictions (if any) on the aggregate demand function characterize the efficient behavior of the group and when is it possible to recover the underlying structure - namely, individual preferences, the decision process and the resulting intragroup transfers - from the group's aggregate behavior? The Economics and Mathematics of Aggregation takes an alternative, axiomatic perspective -- the 'collective' approach -- and assumes that the group always reaches Pareto efficient decisions. The authors view efficiency as a natural assumption in many contexts and as a natural benchmark in all cases. Finally, even in the presence of asymmetric information, first best efficiency is a natural benchmark. However, it is important to note that no restriction is placed on the form of the decision process beyond efficiency.
Book Synopsis Conditioning and Aggregation of Preferences by : Costis Skiadas
Download or read book Conditioning and Aggregation of Preferences written by Costis Skiadas and published by . This book was released on 1992 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aggregation Functions by : Michel Grabisch
Download or read book Aggregation Functions written by Michel Grabisch and published by Cambridge University Press. This book was released on 2009-07-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and self-contained exposition of aggregation functions and their properties.
Book Synopsis Judgment Aggregation by : Davide Kantarcioglu
Download or read book Judgment Aggregation written by Davide Kantarcioglu and published by Springer Nature. This book was released on 2022-06-01 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Judgment aggregation is a mathematical theory of collective decision-making. It concerns the methods whereby individual opinions about logically interconnected issues of interest can, or cannot, be aggregated into one collective stance. Aggregation problems have traditionally been of interest for disciplines like economics and the political sciences, as well as philosophy, where judgment aggregation itself originates from, but have recently captured the attention of disciplines like computer science, artificial intelligence and multi-agent systems. Judgment aggregation has emerged in the last decade as a unifying paradigm for the formalization and understanding of aggregation problems. Still, no comprehensive presentation of the theory is available to date. This Synthesis Lecture aims at filling this gap presenting the key motivations, results, abstractions and techniques underpinning it. Table of Contents: Preface / Acknowledgments / Logic Meets Social Choice Theory / Basic Concepts / Impossibility / Coping with Impossibility / Manipulability / Aggregation Rules / Deliberation / Bibliography / Authors' Biographies / Index
Book Synopsis Topological Aggregation of Preferences by : Graciela Chichilnisky
Download or read book Topological Aggregation of Preferences written by Graciela Chichilnisky and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the topological approach to social choice theory initiated by G. Chichilnisky (1980), extending it to the case of a continuum of agents. The social choice rules are continuous anonymous maps defined on preference spaces which respect unanimity. We establish that a social choice rule exists for a continuum of agents if and only if the space of preferences is contractible, extending an earlier result of Chichilnisky and Heal. We provide also a topological characterization of such rules as generalized means or mathematical expectations of individual preferences.
Book Synopsis Aggregation in Economic Analysis by : H.A. John Green
Download or read book Aggregation in Economic Analysis written by H.A. John Green and published by Princeton University Press. This book was released on 2015-12-08 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Green discusses the definition of consistent aggregation and the problem of grouping variables in a single equation; he deals with the aggregation of equations and the probable errors; and summarizes, with reference to the text, the considerations involved in selecting an appropriate form of aggregation. The author's survey presents a well-balanced overview and analysis of aggregation, and makes readily accessible for the first time much material otherwise difficult to obtain. Originally published in 1964. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Arrovian Aggregation Models by : Fuad T. Aleskerov
Download or read book Arrovian Aggregation Models written by Fuad T. Aleskerov and published by Springer Science & Business Media. This book was released on 1999-03-31 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aggregation of individual opinions into a social decision is a problem widely observed in everyday life. For centuries people tried to invent the `best' aggregation rule. In 1951 young American scientist and future Nobel Prize winner Kenneth Arrow formulated the problem in an axiomatic way, i.e., he specified a set of axioms which every reasonable aggregation rule has to satisfy, and obtained that these axioms are inconsistent. This result, often called Arrow's Paradox or General Impossibility Theorem, had become a cornerstone of social choice theory. The main condition used by Arrow was his famous Independence of Irrelevant Alternatives. This very condition pre-defines the `local' treatment of the alternatives (or pairs of alternatives, or sets of alternatives, etc.) in aggregation procedures. Remaining within the framework of the axiomatic approach and based on the consideration of local rules, Arrovian Aggregation Models investigates three formulations of the aggregation problem according to the form in which the individual opinions about the alternatives are defined, as well as to the form of desired social decision. In other words, we study three aggregation models. What is common between them is that in all models some analogue of the Independence of Irrelevant Alternatives condition is used, which is why we call these models Arrovian aggregation models. Chapter 1 presents a general description of the problem of axiomatic synthesis of local rules, and introduces problem formulations for various versions of formalization of individual opinions and collective decision. Chapter 2 formalizes precisely the notion of `rationality' of individual opinions and social decision. Chapter 3 deals with the aggregation model for the case of individual opinions and social decisions formalized as binary relations. Chapter 4 deals with Functional Aggregation Rules which transform into a social choice function individual opinions defined as choice functions. Chapter 5 considers another model – Social Choice Correspondences when the individual opinions are formalized as binary relations, and the collective decision is looked for as a choice function. Several new classes of rules are introduced and analyzed.
Book Synopsis Aggregation in Economic Research by : J. van Daal
Download or read book Aggregation in Economic Research written by J. van Daal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our interest in problems of aggregation originates from about seven years ago when we became involved in research in the field of applied microeconomics. To our astonishment a vast majority of researchers in this area took it for granted that their, mostly thoroughly derived, micro models could meaningfully be confronted with per capita data. Nany of them did not even realize - at least they gave no utterance to it - that applying macro data in micro models raises considerable problems. Those who did mention the difficulty, almost always belittled its importance. Fortunately, there are noteworthy exceptions. Thinking about aggregation raises at least two questions: "Why or why not aggregate?" and "How to aggregate and, in particular, to what degree?" General answers to these questions can only be given in uninformative wording (as many assertions in economics): one aggregates for the sake of tractability, because of the lack of (individual) data, to avoid or to reduce multicollineartiy, to save degrees of freedom; one abstains from aggregation to avoid loss of information, to avoid aggregation biases and one aggregates such and to such degree as to bypass or reduce the drawbacks mentioned above.
Book Synopsis Aggregation Procedure for Cardinal Preferences by : Ehud Kalai
Download or read book Aggregation Procedure for Cardinal Preferences written by Ehud Kalai and published by . This book was released on 1976 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Group Preference Aggregation in the Multiplicative AHP by : R. C. van den Honert
Download or read book Group Preference Aggregation in the Multiplicative AHP written by R. C. van den Honert and published by . This book was released on 1995 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Microeconomic Theory for the Social Sciences by : Takashi Hayashi
Download or read book Microeconomic Theory for the Social Sciences written by Takashi Hayashi and published by Springer Nature. This book was released on 2021-07-21 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers microeconomic theory at the level of intermediate and advanced undergraduates. It is also intended as an introduction for those with other intellectual and academic backgrounds who may not necessarily agree with “mainstream” economists but at least are interested knowing how they think and see things. The book provides thorough explanations of definitions and assumptions that the theory is based upon. It provides comprehensive accounts of motivations and reservations behind the theory. As well, it precisely presents the logical process of how the assumptions lead to the conclusion, conveying the intuition and the key of the arguments. An abundance of topics is included here: individual choice, general equilibrium, partial equilibrium, game theory, imperfect competition, transaction under incomplete information, market failures, welfare economics, social choice and mechanism design. The book is a valuable resource for any reader studying or simply interested in microeconomic theory.
Book Synopsis A Short Introduction to Preferences by : Francesca Bellet
Download or read book A Short Introduction to Preferences written by Francesca Bellet and published by Springer Nature. This book was released on 2022-06-01 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Interaction Between Time-Nonseparable Preferences and Time Aggregation (Classic Reprint) by : John Heaton
Download or read book The Interaction Between Time-Nonseparable Preferences and Time Aggregation (Classic Reprint) written by John Heaton and published by Forgotten Books. This book was released on 2016-11-28 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Interaction Between Time-Nonseparable Preferences and Time Aggregation There has been an extensive amount of work examining whether or not aggregate consumption. Expenditures are consistent 'with. The restrictions implied. By the permanent income hypothesis and consumption-based asset-pricing models. Often these studies find that the theory does not fit the datal. Because of these poor empirical results, many other studies relax some of the auxiliary assumptions made in previous studies. A closer examination of the assumption that the decision interval of economic agents matches the interval of data collection caused some authors to replace it with the assumption that the interval between data observations is larger than the actual decision interval. The result is a temporal aggregation problem that can often. Be allowed for in estimation and inference. For example. 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.
Book Synopsis Soft Computing Approach for Mathematical Modeling of Engineering Problems by : Ali Ahmadian
Download or read book Soft Computing Approach for Mathematical Modeling of Engineering Problems written by Ali Ahmadian and published by CRC Press. This book was released on 2021-09-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes different mathematical modeling and soft computing techniques used to solve practical engineering problems. It gives an overview of the current state of soft computing techniques and describes the advantages and disadvantages of soft computing compared to traditional hard computing techniques. Through examples and case studies, the editors demonstrate and describe how problems with inherent uncertainty can be addressed and eventually solved through the aid of numerical models and methods. The chapters address several applications and examples in bioengineering science, drug delivery, solving inventory issues, Industry 4.0, augmented reality and weather forecasting. Other examples include solving fuzzy-shortest-path problems by introducing a new distance and ranking functions. Because, in practice, problems arise with uncertain data and most of them cannot be solved exactly and easily, the main objective is to develop models that deliver solutions with the aid of numerical methods. This is the reason behind investigating soft numerical computing in dynamic systems. Having this in mind, the authors and editors have considered error of approximation and have discussed several common types of errors and their propagations. Moreover, they have explained the numerical methods, along with convergence and consistence properties and characteristics, as the main objectives behind this book involve considering, discussing and proving related theorems within the setting of soft computing. This book examines dynamic models, and how time is fundamental to the structure of the model and data as well as the understanding of how a process unfolds • Discusses mathematical modeling with soft computing and the implementations of uncertain mathematical models • Examines how uncertain dynamic systems models include uncertain state, uncertain state space and uncertain state’s transition functions • Assists readers to become familiar with many soft numerical methods to simulate the solution function’s behavior This book is intended for system specialists who are interested in dynamic systems that operate at different time scales. The book can be used by engineering students, researchers and professionals in control and finite element fields as well as all engineering, applied mathematics, economics and computer science interested in dynamic and uncertain systems. Ali Ahmadian is a Senior Lecturer at the Institute of IR 4.0, The National University of Malaysia. Soheil Salahshour is an associate professor at Bahcesehir University.
Book Synopsis Arrovian Aggregation Models by : Fuad T. Aleskerov
Download or read book Arrovian Aggregation Models written by Fuad T. Aleskerov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aggregation of individual opinions into a social decision is a problem widely observed in everyday life. For centuries people tried to invent the `best' aggregation rule. In 1951 young American scientist and future Nobel Prize winner Kenneth Arrow formulated the problem in an axiomatic way, i.e., he specified a set of axioms which every reasonable aggregation rule has to satisfy, and obtained that these axioms are inconsistent. This result, often called Arrow's Paradox or General Impossibility Theorem, had become a cornerstone of social choice theory. The main condition used by Arrow was his famous Independence of Irrelevant Alternatives. This very condition pre-defines the `local' treatment of the alternatives (or pairs of alternatives, or sets of alternatives, etc.) in aggregation procedures. Remaining within the framework of the axiomatic approach and based on the consideration of local rules, Arrovian Aggregation Models investigates three formulations of the aggregation problem according to the form in which the individual opinions about the alternatives are defined, as well as to the form of desired social decision. In other words, we study three aggregation models. What is common between them is that in all models some analogue of the Independence of Irrelevant Alternatives condition is used, which is why we call these models Arrovian aggregation models. Chapter 1 presents a general description of the problem of axiomatic synthesis of local rules, and introduces problem formulations for various versions of formalization of individual opinions and collective decision. Chapter 2 formalizes precisely the notion of `rationality' of individual opinions and social decision. Chapter 3 deals with the aggregation model for the case of individual opinions and social decisions formalized as binary relations. Chapter 4 deals with Functional Aggregation Rules which transform into a social choice function individual opinions defined as choice functions. Chapter 5 considers another model – Social Choice Correspondences when the individual opinions are formalized as binary relations, and the collective decision is looked for as a choice function. Several new classes of rules are introduced and analyzed.
