Tops-only domains
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...
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sg-smu-ink.soe_research-28902016-11-28T10:08:27Z Tops-only domains CHATTERJI, Shurojit SEN, Arunava 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 provide an algorithm for constructing tops-onlydomains from connected graphs with elements of A as nodes. We provide severalapplications of our results. Finally, we relax the minimal richness assumption andpartially extend our results. 2011-02-01T08:00:00Z text application/pdf https://ink.library.smu.edu.sg/soe_research/1890 info:doi/10.1007/s00199-009-0509-2 https://ink.library.smu.edu.sg/context/soe_research/article/2890/viewcontent/9054366.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Voting rules Strategy-proofness Restricted domains Tops-only domains Economic Theory |
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Voting rules Strategy-proofness Restricted domains Tops-only domains Economic Theory CHATTERJI, Shurojit SEN, Arunava Tops-only domains |
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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 provide an algorithm for constructing tops-onlydomains from connected graphs with elements of A as nodes. We provide severalapplications of our results. Finally, we relax the minimal richness assumption andpartially extend our results. |
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CHATTERJI, Shurojit SEN, Arunava |
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CHATTERJI, Shurojit SEN, Arunava |
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CHATTERJI, Shurojit |
title |
Tops-only domains |
title_short |
Tops-only domains |
title_full |
Tops-only domains |
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Tops-only domains |
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Tops-only domains |
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tops-only domains |
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Institutional Knowledge at Singapore Management University |
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2011 |
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https://ink.library.smu.edu.sg/soe_research/1890 https://ink.library.smu.edu.sg/context/soe_research/article/2890/viewcontent/9054366.pdf |
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