Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/296427 
Year of Publication: 
2023
Citation: 
[Journal:] Theoretical Economics [ISSN:] 1555-7561 [Volume:] 18 [Issue:] 2 [Year:] 2023 [Pages:] 837-883
Publisher: 
The Econometric Society, New Haven, CT
Abstract: 
Gibbard and Satterthwaite have shown that the only single-valued social choice functions (SCFs) that satisfy non-imposition (i.e., the function's range coincides with its codomain) and strategyproofness (i.e., voters are never better off by misrepresenting their preferences) are dictatorships. In this paper, we consider set-valued social choice correspondences (SCCs) that are strategyproof according to Fishburn's preference extension and, in particular, the top cycle, an attractive SCC that returns the maximal elements of the transitive closure of the weak majority relation. Our main theorem shows that, under mild conditions, the top cycle is the only non-imposing strategyproof SCC whose outcome only depends on the quantified pairwise comparisons between alternatives. This result effectively turns the Gibbard-Satterthwaite impossibility into a complete characterization of the top cycle by moving from SCFs to SCCs. We also leverage key ideas of the proof of this statement to obtain a more general characterization of strategyproof SCCs.
Subjects: 
Condorcet
preference extension
strategyproofness
Top cycle
JEL: 
D71
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc Logo
Document Type: 
Article

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