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Robust Voting under Uncertainty

Author

Listed:
  • NAKADA, Satoshi
  • NITZAN, Shmuel
  • UI, Takashi

Abstract

This paper proposes normative consequentialist criteria for voting rules under Knightian uncertainty about individual preferences to characterize a weighted majority rule (WMR). The criteria stress the significance of responsiveness, i.e., the probability that the social outcome coincides with the realized individual preferences. A voting rule is said to be robust if, for any probability distribution of preferences, responsiveness of at least one individual is greater than one-half. Our main result establishes that a voting rule is robust if and only if it is a WMR without ties. This characterization of a WMR avoiding the worst possible outcomes complements the well-known characterization of a WMR achieving the optimal outcomes, i.e., efficiency regarding responsiveness.

Suggested Citation

  • NAKADA, Satoshi & NITZAN, Shmuel & UI, Takashi, 2017. "Robust Voting under Uncertainty," Discussion paper series HIAS-E-60, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
  • Handle: RePEc:hit:hiasdp:hias-e-60
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    File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/28978/1/070_hiasDP-E-60.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    majority rule; weighted majority rule; responsiveness; Knightian uncertainty;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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