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arXiv · 2507.00913

Local Strategy-proofness and Dictatorship

Abinash Panda·Anup Pramanik·Ragini Saxena
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Abstract

We investigate preference domains under which every unanimous and locally strategy-proof social choice function (scf) satisfies dictatorship. We identify a condition on domains called connected with distinct neighbours which is necessary for dictatorship under unanimity and local strategy-proofness. 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 also show that on domains that are connected with distinct neighbours, unanimity and strategy-proofness (a stronger requirement) imply dictatorship.

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Abinash Panda, Anup Pramanik, Ragini Saxena. 2026-03-30. Local Strategy-proofness and Dictatorship. https://arxiv.org/abs/2507.00913

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