Published February 1985
| Submitted
Working Paper
Open
Voting Operators in the Space of Choice Functions
- Creators
- Aizerman, M. A.
- Aleskerov, Fuad
Chicago
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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.
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.Attached Files
Submitted - sswp559.pdf
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sswp559.pdf
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Additional details
- Eprint ID
- 81531
- Resolver ID
- CaltechAUTHORS:20170918-132850289
- Created
-
2017-09-19Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Caltech groups
- Social Science Working Papers
- Series Name
- Social Science Working Paper
- Series Volume or Issue Number
- 559