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Local Strategy-Proofness and Dictatorship

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  • Abinash Panda
  • Anup Pramanik
  • Ragini Saxena

Abstract

We investigate preference domains where every unanimous and locally strategy-proof social choice function (scf) satisfies dictatorship. We identify a condition on domains called connected with two distinct neighbours which is necessary for unanimous and locally strategy-proof scfs to satisfy dictatorship. Further, we show that this condition is sufficient within the class of domains where every unanimous and locally strategy-proof scf satisfies tops-onlyness. While a complete characterization remains open, we make significant progress by showing that on connected with two distinct neighbours domains, unanimity and strategy-proofness (a stronger requirement) guarantee dictatorship.

Suggested Citation

  • Abinash Panda & Anup Pramanik & Ragini Saxena, 2025. "Local Strategy-Proofness and Dictatorship," Papers 2507.00913, arXiv.org.
    • Handle: RePEc:arx:papers:2507.00913
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    File URL: http://arxiv.org/pdf/2507.00913
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