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Tops-Only Domains, Shurojit Chatterji, Arunava Sen
Tops-Only Domains, Shurojit Chatterji, Arunava Sen
Research Collection School Of Economics
In this paper we consider the standard voting model with a finite set of alternativesA and n voters and address the following question: what are the characteristics ofdomains D that induce the property that every strategy-proof social choice functionf : Dn → A satisfying unanimity, has the tops-only property? We first impose aminimal richness condition which ensures that for every alternative a, there exists anadmissible ordering where a is maximal. We identify conditions on D that are sufficientfor strategy-proofness and unanimity to imply tops onlyness in the general case of nvoters and in the special case, n = 2. We …
Tops-Only Domains, Shurojit Chatterji, Arunava Sen
Tops-Only Domains, Shurojit Chatterji, Arunava Sen
Research Collection School Of Economics
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" role="presentation">D that induce the property that every strategy-proof social choice function f:Dn→A" role="presentation">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" role="presentation">D that are sufficient for strategy-proofness and unanimity to imply tops onlyness in the general case of n …