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Voting Operators in the Space of Choice Functions

Aizerman, M. A. and Aleskerov, Fuad (1985) Voting Operators in the Space of Choice Functions. Social Science Working Paper, 559. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170918-132850289

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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.


Item Type:Report or Paper (Working Paper)
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http://resolver.caltech.edu/CaltechAUTHORS:20171113-160022063Related ItemPublished Version
Additional Information:Published as Aizerman, Mark A., and Fuad T. Aleskerov. "Voting operators in the space of choice functions." Mathematical Social Sciences 11.3 (1986): 201-242.
Group:Social Science Working Papers
Subject Keywords:Voting problem, choice function, functional profile, local operator, operators classes, operator's closedness
Series Name:Social Science Working Paper
Issue or Number:559
Record Number:CaltechAUTHORS:20170918-132850289
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170918-132850289
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81531
Collection:CaltechAUTHORS
Deposited By: Jacquelyn Bussone
Deposited On:19 Sep 2017 17:11
Last Modified:03 Oct 2019 18:43

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