Published June 1986
| public
Journal Article
Voting operators in the space of choice functions
- Creators
- Aizerman, M. A.
- Aleskerov, Fuad
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.
Additional Information
© 1986 Elsevier Science Publishers B.V. (North-Holland). Communicated by B. Monjardet. Received 3 June 1984; Revised 11 June 1985. Formerly SSWP 559.Additional details
- Eprint ID
- 83174
- DOI
- 10.1016/0165-4896(86)90027-2
- Resolver ID
- CaltechAUTHORS:20171113-160022063
- Created
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2017-11-15Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field