English

Probabilistic Fixed Ballot Rules and Hybrid Domains

Theoretical Economics 2022-01-05 v2

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)).

Keywords

Cite

@article{arxiv.2105.10677,
  title  = {Probabilistic Fixed Ballot Rules and Hybrid Domains},
  author = {Shurojit Chatterji and Souvik Roy and Soumyarup Sadhukhan and Arunava Sen and Huaxia Zeng},
  journal= {arXiv preprint arXiv:2105.10677},
  year   = {2022}
}
R2 v1 2026-06-24T02:21:57.668Z