Existence of Permutation Cycles and Manipulation of Choice Functions

Schofield, Norman (1985) Existence of Permutation Cycles and Manipulation of Choice Functions. Social Science Working Paper, 555. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170918-142711751

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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.

Item Type:

Report or Paper (Working Paper)

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thanks are due to David Grether, Dick McKelvey and Jeff Strnad for helpful discussion and for making available their unpublished work.

Group:

Social Science Working Papers

Funders:

Funding Agency	Grant Number
Nuffield Foundation	UNSPECIFIED
Sherman Fairchild Foundation	UNSPECIFIED

Series Name:

Social Science Working Paper

Issue or Number:

555

Record Number:

CaltechAUTHORS:20170918-142711751

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https://resolver.caltech.edu/CaltechAUTHORS:20170918-142711751

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

ID Code:

81539

Collection:

CaltechAUTHORS

Deposited By:

Jacquelyn Bussone

Deposited On:

19 Sep 2017 16:51

Last Modified:

03 Oct 2019 18:44

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