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New characterizations of strategy-proofness under single-peakedness

Author

Listed:
  • Andrew B Jennings

    (Public Integrity Foundation, Phoenix)

  • Rida Laraki

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique, University of Liverpool, UM6P - Université Mohammed VI Polytechnique [Ben Guerir])

  • Clemens Puppe

    (TH - Universität Karlsruhe, HSE - Higher School of Economics [Perm] - MAI - National research university)

  • Estelle M Varloot

    (University of Liverpool)

Abstract

We provide novel representations of strategy-proof voting rules applicable when voters have uni-dimensional single-peaked preferences. In particular, we introduce a 'grading curve' representation which is particularly useful when introducing variable electorates. Our analysis recovers, links and unifies existing results in the literature, and provides new characterizations when strategy-proofness is combined with other desirable properties such as ordinality, participation, consistency, and proportionality. Finally, the new representations are used to compute the strategy-proof methods that maximize the ex-ante social welfare for the L 2-norm and a uniform prior. The resulting strategy-proof welfare maximizer is the linear median (or 'uniform median'), that we also characterize as the unique proportional strategy-proof voting rule.

Suggested Citation

  • Andrew B Jennings & Rida Laraki & Clemens Puppe & Estelle M Varloot, 2023. "New characterizations of strategy-proofness under single-peakedness," Post-Print hal-04304821, HAL.
    • Handle: RePEc:hal:journl:hal-04304821
    DOI: 10.1007/s10107-023-02010-x
    Note: View the original document on HAL open archive server: https://hal.science/hal-04304821
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