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arXiv · 2105.10677

Probabilistic Fixed Ballot Rules and Hybrid Domains

Shurojit Chatterji·Souvik Roy·Soumyarup Sadhukhan·Arunava Sen·Huaxia Zeng
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Abstract

We study a class of preference domains that satisfies the familiar properties of minimal richness, diversity and no-restoration. We show that a specific preference restriction, hybridness, has been embedded in these domains so that the preferences are single-peaked at the "extremes" and unrestricted in the "middle". We also study the structure of strategy-proof and unanimous Random Social Choice Functions on these domains. We show them to be special cases of probabilistic fixed ballot rules (introduced by Ehlers, Peters, and Storcken (2002)).

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Shurojit Chatterji, Souvik Roy, Soumyarup Sadhukhan, Arunava Sen, Huaxia Zeng. 2021-05-22. Probabilistic Fixed Ballot Rules and Hybrid Domains. https://arxiv.org/abs/2105.10677

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