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Table of contents (5 chapters)
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About this book
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 &endash; 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.
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Bibliographic Information
Book Title: Arrovian Aggregation Models
Authors: Fuad Aleskerov
Series Title: Theory and Decision Library B
DOI: https://doi.org/10.1007/978-1-4757-4542-9
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1999
Hardcover ISBN: 978-0-7923-8451-9Published: 31 March 1999
Softcover ISBN: 978-1-4419-5079-6Published: 07 December 2010
eBook ISBN: 978-1-4757-4542-9Published: 29 June 2013
Edition Number: 1
Number of Pages: XII, 244
Topics: Microeconomics, Economic Theory/Quantitative Economics/Mathematical Methods, Operations Research/Decision Theory, Econometrics