A simple characterization of single-peaked domains

Fuente: arXiv
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Autori principali: Bhattacharya, Mihir, Pramanik, Anup
Natura: Preprint
Pubblicazione: 2026
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author Bhattacharya, Mihir
Pramanik, Anup
author_facet Bhattacharya, Mihir
Pramanik, Anup
contents This paper characterizes the single-peaked domain on a tree via the strategy-proofness of extreme rules defined on that tree. For any tree, these rules are unanimous and anonymous on any preference domain. In particular, we show that they are strategy-proof only on the single-peaked domain associated with that tree.
format Preprint
id arxiv_https___arxiv_org_abs_2604_26563
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A simple characterization of single-peaked domains
Bhattacharya, Mihir
Pramanik, Anup
Theoretical Economics
This paper characterizes the single-peaked domain on a tree via the strategy-proofness of extreme rules defined on that tree. For any tree, these rules are unanimous and anonymous on any preference domain. In particular, we show that they are strategy-proof only on the single-peaked domain associated with that tree.
title A simple characterization of single-peaked domains
topic Theoretical Economics
url https://arxiv.org/abs/2604.26563