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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. Mishra, Debasis, 2016. "Ordinal Bayesian incentive compatibility in restricted domains," Journal of Economic Theory, Elsevier, vol. 163(C), pages 925-954.
    3. 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.
    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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