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Dictatorship on Top-circular Domains

Achuthankutty, Gopakumar and Roy, Souvik (2017): Dictatorship on Top-circular Domains.

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Abstract

We consider domains with a natural property called top-circularity. We show that if such a domain satisfies either the maximal conflict property or the weak conflict property, then it is dictatorial. We obtain the result in Sato (2010) as a corollary. Further, it follows from our results that the union of a top-connected single-peaked domain and a top-connected single-dipped domain is dictatorial.

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