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A simple characterization of single-peaked domains

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  • Mihir Bhattacharya
  • Anup Pramanik

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.

Suggested Citation

  • Mihir Bhattacharya & Anup Pramanik, 2026. "A simple characterization of single-peaked domains," Papers 2604.26563, arXiv.org.
    • Handle: RePEc:arx:papers:2604.26563
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    References listed on IDEAS

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    1. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
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