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On Random Social Choice Functions with the Tops-only Property

Author

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  • Shurojit Chatterji

    (Singapore Management University)

  • Huaxia Zeng

    (Singapore Management University)

Abstract

We study the standard voting model with randomization. A Random Social Choice Function (or RSCF) satisfies the tops-only property if the social lottery under each preference profile depends only on voters' peaks of preferences. We identify a general condition on domains of preferences (the Interior Property and the Exterior Property) which ensures that every strategy-proof RSCF satisfying unanimity has the tops-only property. We provide applications of this sufficient condition and use it to derive new results.

Suggested Citation

  • Shurojit Chatterji & Huaxia Zeng, 2015. "On Random Social Choice Functions with the Tops-only Property," Working Papers 11-2015, Singapore Management University, School of Economics.
  • Handle: RePEc:siu:wpaper:11-2015
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    File URL: http://ink.library.smu.edu.sg/soe_research/1777/
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    Cited by:

    1. Madhuparna Karmokar & Souvik Roy, 2023. "The structure of (local) ordinal Bayesian incentive compatible random rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(1), pages 111-152, July.
    2. Achuthankutty, Gopakumar & Roy, Souvik, 2017. "Strategy-proof Rules on Partially Single-peaked Domains," MPRA Paper 82267, University Library of Munich, Germany.
    3. Roy, Souvik & Sadhukhan, Soumyarup, 2021. "A unified characterization of the randomized strategy-proof rules," Journal of Economic Theory, Elsevier, vol. 197(C).
    4. Peters, Hans & Roy, Souvik & Sadhukhan, Soumyarup, 2018. "Random social choice functions for single-peaked domains on trees," Research Memorandum 004, Maastricht University, Graduate School of Business and Economics (GSBE).

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