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Probabilistic fixed ballot rules and hybrid domains

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  • Chatterji, Shurojit
  • Roy, Souvik
  • Sadhukhan, Soumyarup
  • Sen, Arunava
  • Zeng, Huaxia

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)).

Suggested Citation

  • Chatterji, Shurojit & Roy, Souvik & Sadhukhan, Soumyarup & Sen, Arunava & Zeng, Huaxia, 2022. "Probabilistic fixed ballot rules and hybrid domains," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    • Handle: RePEc:eee:mateco:v:100:y:2022:i:c:s0304406822000167
    DOI: 10.1016/j.jmateco.2022.102656
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