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Published September 20, 2017 | Submitted
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Classification Theorem for Smooth Social Choice

Abstract

A classification theorem for voting rules on a smooth choice space W of dimension w is presented. It is shown that, for any non-collegial voting rule, σ, there exist integers v*(σ), w*(σ) (with v*(σ)

Additional Information

This material is based upon work initially supported by a Nuffield Foundation Grant. The final version was prepared while the author was a Sherman Fairchild Distinguished Scholar at the California Institute of Technology. It is a pleasure to thank the colleagues at Caltech for their hospitality. Particular thanks are due to Kim Border, Gary Cox, David Grether, Gerald Kramer, Dick McKelvey and Jeff Strnad for helpful discussion, and for making available their unpublished work. Prepared for presentation at the panel on the Spatial Theory of Voting and Agenda Setting, the Public Choice Meeting, Phoenix, Arizona, March 1984. Published as Schofield, Norman. "Classification theorem for smooth social choice on a manifold." Social Choice and Welfare 1.3 (1984): 187-210.

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Created:
August 19, 2023
Modified:
January 14, 2024