Local Strategy-proofness and Dictatorship

Fuente: arXiv
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Autori principali: Panda, Abinash, Pramanik, Anup, Saxena, Ragini
Natura: Preprint
Pubblicazione: 2025
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author Panda, Abinash
Pramanik, Anup
Saxena, Ragini
author_facet Panda, Abinash
Pramanik, Anup
Saxena, Ragini
contents We investigate preference domains under which every unanimous and locally strategy-proof social choice function (scf) satisfies dictatorship. We identify a condition on domains called connected with distinct neighbours which is necessary for dictatorship under unanimity and local strategy-proofness. Further, we show that this condition is sufficient within the class of domains where every unanimous and locally strategy-proof scf satisfies tops-onlyness. While a complete characterization remains open, we also show that on domains that are connected with distinct neighbours, unanimity and strategy-proofness (a stronger requirement) imply dictatorship.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00913
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Local Strategy-proofness and Dictatorship
Panda, Abinash
Pramanik, Anup
Saxena, Ragini
Theoretical Economics
We investigate preference domains under which every unanimous and locally strategy-proof social choice function (scf) satisfies dictatorship. We identify a condition on domains called connected with distinct neighbours which is necessary for dictatorship under unanimity and local strategy-proofness. Further, we show that this condition is sufficient within the class of domains where every unanimous and locally strategy-proof scf satisfies tops-onlyness. While a complete characterization remains open, we also show that on domains that are connected with distinct neighbours, unanimity and strategy-proofness (a stronger requirement) imply dictatorship.
title Local Strategy-proofness and Dictatorship
topic Theoretical Economics
url https://arxiv.org/abs/2507.00913