Published September 19, 2017
| Submitted
Report
Open
Existence of Permutation Cycles and Manipulation of Choice Functions
- Creators
- Schofield, Norman
Abstract
Let σ be a social preference function, and let v (σ) be the Nakamura number of σ. If W is a finite set of cardinality at least v (σ) then it is shown that there exists an acyclic profile P on W such that σ (P) is cyclic. Any choice function which is compatible with a can then be manipulated. A similar result holds if W is a manifold (or a subset of Euclidean space) with dimension at least v (σ) - 1.
Additional Information
This material is based on work initially supported by a Nuffield Foundation Grant, and completed while the author was a Sherman Fairchild Distinguished Scholar at the California Institute of Technology, Particular thanks are due to David Grether, Dick McKelvey and Jeff Strnad for helpful discussion and for making available their unpublished work.Attached Files
Submitted - sswp555.pdf
Files
sswp555.pdf
Files
(220.2 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:32bc0b18a74aac0cbda444947c64287c
|
220.2 kB | Preview Download |
Additional details
- Eprint ID
- 81539
- Resolver ID
- CaltechAUTHORS:20170918-142711751
- Nuffield Foundation
- Sherman Fairchild Foundation
- Created
-
2017-09-19Created from EPrint's datestamp field
- Updated
-
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
- 555