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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| Main Authors: | , |
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| Format: | text |
| Language: | English |
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Institutional Knowledge at Singapore Management University
2011
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| Online Access: | 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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| Institution: | Singapore Management University |
| Language: | English |
| Summary: | 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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