Dictatorial domains
In this paper, we introduce the notion of a linked domain and prove that a non-manipulable social choice function defined on such a domain must be dictatorial. This result not only generalizes the Gibbard-Satterthwaite Theorem but also demonstrates that the equivalence between dictatorship and non-m...
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Institutional Knowledge at Singapore Management University
2003
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sg-smu-ink.soe_research-28832024-10-11T02:02:07Z Dictatorial domains ASWAL, Navin CHATTERJI, Shurojit SEN, Arunava In this paper, we introduce the notion of a linked domain and prove that a non-manipulable social choice function defined on such a domain must be dictatorial. This result not only generalizes the Gibbard-Satterthwaite Theorem but also demonstrates that the equivalence between dictatorship and non-manipulability is far more robust than suggested by that theorem. We provide an application of this result in a particular model of voting. We also provide a necessary condition for a domain to be dictatorial and use it to characterize dictatorial domains in the cases where the number of alternatives is three. 2003-08-01T07:00:00Z text application/pdf https://ink.library.smu.edu.sg/soe_research/1883 info:doi/10.1007/s00199-002-0285-8 https://ink.library.smu.edu.sg/context/soe_research/article/2883/viewcontent/DictatorialDomains_av.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University social choice functions strategyproof dictatorship Gibbard-Satterthwaite theorem restricted domains Economic Theory |
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Singapore Management University |
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SMU Libraries |
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social choice functions strategyproof dictatorship Gibbard-Satterthwaite theorem restricted domains Economic Theory |
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social choice functions strategyproof dictatorship Gibbard-Satterthwaite theorem restricted domains Economic Theory ASWAL, Navin CHATTERJI, Shurojit SEN, Arunava Dictatorial domains |
| description |
In this paper, we introduce the notion of a linked domain and prove that a non-manipulable social choice function defined on such a domain must be dictatorial. This result not only generalizes the Gibbard-Satterthwaite Theorem but also demonstrates that the equivalence between dictatorship and non-manipulability is far more robust than suggested by that theorem. We provide an application of this result in a particular model of voting. We also provide a necessary condition for a domain to be dictatorial and use it to characterize dictatorial domains in the cases where the number of alternatives is three. |
| format |
text |
| author |
ASWAL, Navin CHATTERJI, Shurojit SEN, Arunava |
| author_facet |
ASWAL, Navin CHATTERJI, Shurojit SEN, Arunava |
| author_sort |
ASWAL, Navin |
| title |
Dictatorial domains |
| title_short |
Dictatorial domains |
| title_full |
Dictatorial domains |
| title_fullStr |
Dictatorial domains |
| title_full_unstemmed |
Dictatorial domains |
| title_sort |
dictatorial domains |
| publisher |
Institutional Knowledge at Singapore Management University |
| publishDate |
2003 |
| url |
https://ink.library.smu.edu.sg/soe_research/1883 https://ink.library.smu.edu.sg/context/soe_research/article/2883/viewcontent/DictatorialDomains_av.pdf |
| _version_ |
1814047917166559232 |