On Single-peaked Domains and Min-max Rules
Gopakumar Achuthankutty () and
Souvik Roy ()
MPRA Paper from University Library of Munich, Germany
We consider social choice problems where different agents can have different sets of admissible single-peaked preferences. We show every unanimous and strategy-proof social choice function on such domains satisfies Pareto property and tops-onlyness. Further, we characterize all domains on which (i) every unanimous and strategy-proof social choice function is a min-max rule, and (ii) every min-max rule is strategy-proof. As an application of our result, we obtain a characterization of the unanimous and strategy-proof social choice functions on maximal single-peaked domains (Moulin (1980), Weymark (2011)), minimally rich single-peaked domains (Peters et al. (2014)), maximal regular single-crossing domains (Saporiti (2009), Saporiti (2014)), and distance based single-peaked domains.
Keywords: Strategy-proofness; single-peaked preferences; min-max rules; min-max domains; top-connectedness; Pareto property; tops-onlyness. (search for similar items in EconPapers)
JEL-codes: D71 D82 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-des and nep-mic
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Journal Article: On single-peaked domains and min–max rules (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:81375
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