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Arrovian aggregation models

Author: F T Aleskerov
Publisher: Boston : Kluwer Academic, ©1999.
Series: Theory and decision library., Series B,, Mathematical and statistical methods ;, v. 39.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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  Read more...

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Named Person: Kenneth J Arrow; Kenneth J Arrow; Kenneth Joseph Arrow; Kenneth Joseph Arrow; Kenneth Joseph Arrow
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: F T Aleskerov
ISBN: 0792384512 9780792384519
OCLC Number: 40668120
Description: x, 242 pages : illustrations ; 25 cm.
Contents: Aggregation: A General Description --
Analysis of examples --
Arrow's General Impossibility Theorem --
Individual opinion: a formalization --
Aggregation: the synthesis problem --
Rationality of Individual Opinions and Social Decisions --
Binary relations --
Criterial model of choice --
Expansion-Contraction Axioms --
Relations between the classes of choice functions --
Social Decision Functions --
Strong locality --
Normative conditions --
Rules from Central Class --
Rationality constraints --
Comparing classes in [Lambda][superscript C] --
Arrow's General Impossibility Theorem --
Rationality constraints: further results --
Aggregation of equivalences --
Non-monotonic strongly local SDFs --
Locality --
Normative conditions --
Rules from Central Class --
Rationality constraints --
Comparing classes in [Lambda][superscript C] --
Functional Aggregation Rules --
Locality --
Normative conditions --
Rules from Central Class --
Rationality constraints: non-emptiness --
Rationality constraints: domains H, C, and O --
Comparing classes in [Lambda][superscript C] --
Rules from Basic Class --
Non-monotonic rules --
Non-monotonic rules: dual domains --
Social Choice Correspondences --
Locality --
Normative conditions --
Boolean representation of Social Choice Correspondences --
Rules from Central Class, I --
Rules from Central Class, II --
Rules from Symmetrically Central Class --
Rationality constraints: single-valuedness --
Coalitional q-federation rules under rationality constraints --
Rationality constraints: domains H, C, O.
Series Title: Theory and decision library., Series B,, Mathematical and statistical methods ;, v. 39.
Responsibility: Fuad Aleskerov.
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'This monograph is excellent and should belong to every social choice theorist's library. it is also highly recommended to mathematicians working in discrete mathematics since it offers many Read more...

 
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