A simple characterization of single-peaked domains

Mihir Bhattacharya; Anup Pramanik

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arXiv · 2604.26563

A simple characterization of single-peaked domains

Mihir Bhattacharya·Anup Pramanik

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Abstract

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.

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Mihir Bhattacharya, Anup Pramanik. 2026-04-29. A simple characterization of single-peaked domains. https://arxiv.org/abs/2604.26563

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