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Group strategy-proof probabilistic voting with single-peaked preferences

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  • Morimoto, Shuhei
Abstract
We study probabilistic voting rules in the case where agents have single-peaked preferences over alternatives. A probabilistic rule decides a probability distribution over the set of alternatives for each profile of agents’ preferences. In this paper, we characterize the class of group strategy-proof and peak-only probabilistic rules.

Suggested Citation

  • Morimoto, Shuhei, 2022. "Group strategy-proof probabilistic voting with single-peaked preferences," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    • Handle: RePEc:eee:mateco:v:102:y:2022:i:c:s0304406822000842
    DOI: 10.1016/j.jmateco.2022.102755
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    References listed on IDEAS

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    1. Chatterji, Shurojit & Zeng, Huaxia, 2018. "On random social choice functions with the tops-only property," Games and Economic Behavior, Elsevier, vol. 109(C), pages 413-435.
    2. Chatterji, Shurojit & Zeng, Huaxia, 2019. "Random mechanism design on multidimensional domains," Journal of Economic Theory, Elsevier, vol. 182(C), pages 25-105.
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    8. Peters, Hans & Roy, Souvik & Sen, Arunava & Storcken, Ton, 2014. "Probabilistic strategy-proof rules over single-peaked domains," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 123-127.
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    11. 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).
    12. Zhang, Jun, 2020. "When are efficient and fair assignment mechanisms group strategy-proof?," Games and Economic Behavior, Elsevier, vol. 119(C), pages 251-266.
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    16. Hans Peters & Souvik Roy & Soumyarup Sadhukhan, 2021. "Unanimous and Strategy-Proof Probabilistic Rules for Single-Peaked Preference Profiles on Graphs," Mathematics of Operations Research, INFORMS, vol. 46(2), pages 811-833, May.
    17. Zhang, Jun, 2019. "Efficient and fair assignment mechanisms are strongly group manipulable," Journal of Economic Theory, Elsevier, vol. 180(C), pages 167-177.
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    19. Kentaro Hatsumi & Shigehiro Serizawa, 2007. "Coalitionally Strategy-Proof Rules in Allotment Economies of Homogeneous Indivisible Goods," ISER Discussion Paper 0686, Institute of Social and Economic Research, Osaka University, revised Feb 2009.
    20. Pycia, Marek & Ünver, M. Utku, 2015. "Decomposing random mechanisms," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 21-33.
    21. Bade, Sophie, 2016. "Fairness and group-strategyproofness clash in assignment problems," Journal of Economic Theory, Elsevier, vol. 165(C), pages 257-262.
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