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Ordinally Bayesian incentive-compatible voting schemes

Author

Listed:
  • Dipjyoti Majumdar

    (Indian Statistical Institute, New Delhi)

  • Arunava Sen

    (Indian Statistical Institute, New Delhi)

Abstract

We study strategic voting after weakening the notion of strategy-proofness to Ordinal Bayesian Incentive Compatibility (OBIC). Under OBIC, truthelling is required to maximize the expected utility being computed with respect to the voter's prior beliefs and under the assumption that everybody else is also telling the truth. We show that for a special type of priors i.e., the uniform priors there exists a large class of social choice functions that are OBIC. However, for priors which are generic in the set of independent beliefs a social choice function is OBIC only if it is dictatorial. This result underlines the robustness of the Gibbard-Satterthwaite Theorem.

Suggested Citation

  • Dipjyoti Majumdar & Arunava Sen, 2003. "Ordinally Bayesian incentive-compatible voting schemes," Discussion Papers 03-01, Indian Statistical Institute, Delhi.
    • Handle: RePEc:alo:isipdp:03-01
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    References listed on IDEAS

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    1. Sen, Arunava, 2001. "Another direct proof of the Gibbard-Satterthwaite Theorem," Economics Letters, Elsevier, vol. 70(3), pages 381-385, March.
    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. 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).
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    Cited by:

    1. Dipjyoti Majumdar, 2003. "Ordinally Bayesian Incentive Compatible Stable Matchings," Working Papers 05001, Concordia University, Department of Economics.
    2. Burkhard C. Schipper & Tina Danting Zhang, 2025. "Matching, Unanticipated Experiences, Divorce, Flirting, Rematching, Etc," Working Papers 371, University of California, Davis, Department of Economics.

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