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On strategy-proofness and single peakedness: A full characterization

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  • Hagiwara, Makoto
  • Ochiai, Goro
  • Yamamura, Hirofumi

Abstract

We investigate strategy-proof rules defined over the set of single-peaked preference profiles whose range may not be an interval. We define the class of “minmax rules with a family of upper-set tie-breaking rules”, and show that it is characterized by strategy-proofness. This class is broader than that of “disturbed minmax rules” introduced by Massó and Moreno de Barreda (2011), because, under the domain of all single-peaked preferences, the alternative selected by a strategy-proof rule whose range is not an interval may be affected by asymmetric single-peaked preferences over alternatives lying outside its range.

Suggested Citation

  • Hagiwara, Makoto & Ochiai, Goro & Yamamura, Hirofumi, 2026. "On strategy-proofness and single peakedness: A full characterization," Journal of Mathematical Economics, Elsevier, vol. 123(C).
    • Handle: RePEc:eee:mateco:v:123:y:2026:i:c:s0304406826000030
    DOI: 10.1016/j.jmateco.2026.103215
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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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