Artikel
The Gibbard random dictatorship theorem: A generalization and a new proof
This paper proves stronger versions of the Gibbard random dictatorship theorem using induction on the number of voters. It shows that when there are at least three voters, every random social choice function defined on a domain satisfying a Free Triple at the Top property and satisfying a weak form of strategy-proofness called Limited-Comparison Strategy-proofness and Unanimity, is a random dictatorship provided that there are at least three alternatives. The weaker notion of strategy-proofness requires truth-telling to maximize a voter's expected utility only for a limited class of von NeumannMorgenstern utility representations of the voter's true preference ordering. In the case of two voters, an even weaker condition on the domain and a weaker notion of strategy-proofness are sufficient for the random dictatorship result.
- Language
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Englisch
- Bibliographic citation
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Journal: SERIEs - Journal of the Spanish Economic Association ; ISSN: 1869-4195 ; Volume: 2 ; Year: 2011 ; Issue: 4 ; Pages: 515-527 ; Heidelberg: Springer
- Classification
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Wirtschaft
Social Choice; Clubs; Committees; Associations
- Subject
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Gibbard's random dictatorship theorem : free triple at the top
limited comparison strategy-proofness
Diktatur
Abstimmungsregel
Erwartungsnutzen
Theorie
- Event
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Geistige Schöpfung
- (who)
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Sen, Arunava
- Event
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Veröffentlichung
- (who)
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Springer
- (where)
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Heidelberg
- (when)
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2011
- DOI
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doi:10.1007/s13209-011-0041-z
- Handle
- Last update
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10.03.2025, 11:42 AM CET
Data provider
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Object type
- Artikel
Associated
- Sen, Arunava
- Springer
Time of origin
- 2011
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