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Ordinal Bayesian incentive-compatible voting rules with correlated belief under betweenness property

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  • Bose, Abhigyan
  • Roy, Souvik

Abstract

We consider social choice functions (SCFs) that are locally robust ordinal Bayesian incentive compatible (LOBIC) with respect to correlated priors. We model such priors using a betweenness property and assume the coexistence of both positively and negatively correlated priors. We introduce the notion of strong ordinal non domination (strong OND) and show that strong OND is a sufficient condition for an SCF to be LOBIC in this framework.

Suggested Citation

  • Bose, Abhigyan & Roy, Souvik, 2023. "Ordinal Bayesian incentive-compatible voting rules with correlated belief under betweenness property," Economics Letters, Elsevier, vol. 229(C).
    • Handle: RePEc:eee:ecolet:v:229:y:2023:i:c:s0165176523002483
    DOI: 10.1016/j.econlet.2023.111223
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    References listed on IDEAS

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    1. Dipjyoti Majumdar & Arunava Sen, 2004. "Ordinally Bayesian Incentive Compatible Voting Rules," Econometrica, Econometric Society, vol. 72(2), pages 523-540, March.
    2. Mishra, Debasis, 2016. "Ordinal Bayesian incentive compatibility in restricted domains," Journal of Economic Theory, Elsevier, vol. 163(C), pages 925-954.
    3. Bhargava, Mohit & , & ,, 2015. "Incentive-compatible voting rules with positively correlated beliefs," Theoretical Economics, Econometric Society, vol. 10(3), September.
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    More about this item

    Keywords

    Ordinal Bayesian incentive compatibility; Correlated beliefs; Betweenness property; Strong ordinal non domination;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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