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Tops-Only Domains

Shurojit Chatterji and Arunava Sen

Macroeconomics Working Papers from East Asian Bureau of Economic Research

Abstract: In this paper we consider the standard voting model with a finite set of alternatives A and n voters and address the following question : what are the characteristics of domains D that induce the property that every strategy-proof social choice function f : Dn -> A satisfying unanimity, has the tops-only property? We first impose a minimal richness condition which ensures that for every alternative a, there exists an admissible ordering where a is maximal. We identify conditions on D that are sufficient for strategy-proofness and unanimity to imply tops onlyness in the general case of n voters and in the special case, n = 2. We provide an algorithm for constructing tops-only domains from connected graphs with elements of A as nodes. We provide several applications of our results. Finally, we relax the minimal richness assumption and partially extend our results.

Keywords: Voting; social choice; tops-only domain (search for similar items in EconPapers)
JEL-codes: D70 D72 (search for similar items in EconPapers)
Date: 2009-01
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Journal Article: Tops-only domains (2011) Downloads
Working Paper: Tops-Only Domains (2009) Downloads
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