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Robust incentive compatibility of voting rules with positively correlated beliefs

Author

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  • Dipjyoti Majumdar

    (Concordia University)

  • Arunava Sen

    (Indian Statistical Institute)

Abstract

We investigate a voting model where each voter’s beliefs are positively correlated. We show that requiring a social choice function to be Ordinally Bayesian Incentive-Compatible (d’Aspremont and Peleg in Soc Choice Welf 5:261–280, 1988) with respect to all such beliefs is not equivalent to requiring it to be strategy-proof. However, if the social choice function is also required to be efficient, it must be strategy-proof and hence, dictatorial.

Suggested Citation

  • Dipjyoti Majumdar & Arunava Sen, 2021. "Robust incentive compatibility of voting rules with positively correlated beliefs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 63-95, July.
    • Handle: RePEc:spr:sochwe:v:57:y:2021:i:1:d:10.1007_s00355-020-01304-9
    DOI: 10.1007/s00355-020-01304-9
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    References listed on IDEAS

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    1. d’ASPREMONT, C. & PELEG, B., 1986. "Ordinal Bayesian incentive compatible representations of committees," LIDAM Discussion Papers CORE 1986042, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    3. Mishra, Debasis, 2016. "Ordinal Bayesian incentive compatibility in restricted domains," Journal of Economic Theory, Elsevier, vol. 163(C), pages 925-954.
    4. Nick Baigent, 1987. "Preference Proximity and Anonymous Social Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 161-169.
    5. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. Bandhu, Sarvesh & Mondal, Bishwajyoti & Pramanik, Anup, 2022. "Strategy-proofness of the unanimity with status-quo rule over restricted domains," Economics Letters, Elsevier, vol. 210(C).

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