Voting operators in the space of choice functions

Aizerman, M. A. and Aleskerov, Fuad (1986) Voting operators in the space of choice functions. Mathematical Social Sciences, 11 (3). pp. 201-242. ISSN 0165-4896. doi:10.1016/0165-4896(86)90027-2. https://resolver.caltech.edu/CaltechAUTHORS:20171113-160022063

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Abstract

Assuming the individual and collective opinions are given as choice functions, a new formalization of the voting problem is considered. The notions of a local functional operator and the closedness of domains in choice-functional space relative to local operators are introduced. The problem of voting is reduced to an analysis of three kinds of operator classes and their mutual relations. The functional analogues well known in the theory of Arrow's paradox results are established.

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Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1016/0165-4896(86)90027-2	DOI	Article
http://www.sciencedirect.com/science/article/pii/0165489686900272	Publisher	Article
http://resolver.caltech.edu/CaltechAUTHORS:20170918-132850289	Related Item	Working Paper

Additional Information:

Subject Keywords:

Voting problem; choice function; functional profile; local operator; operators classes; operator's closedness

Issue or Number:

DOI:

10.1016/0165-4896(86)90027-2

Record Number:

CaltechAUTHORS:20171113-160022063

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https://resolver.caltech.edu/CaltechAUTHORS:20171113-160022063

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

83174

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CaltechAUTHORS

Deposited By:

Jacquelyn Bussone

Deposited On:

15 Nov 2017 23:43

Last Modified:

15 Nov 2021 19:56

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