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Single-dipped preferences with satiation: strong group strategy-proofness and unanimity

Author

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  • Grisel Ayllón

    (Tecnologico de Monterrey)

  • Diego M. Caramuta

    (AIS Buenos Aires)

Abstract

We study the problem of the location of a public facility that generates negative externalities. We consider that agents have single-dipped preferences with satiation: each agent considers a location as the worst, the “dip”, and the farther the location is from the dip, the better for the agent. In addition, an agent might be indifferent between all the locations sufficiently far from his dip, reaching his highest level of satisfaction. We characterize the family of strongly group strategy-proof and unanimous rules. Opposite to previous results without satiation, the locations selected are not necessarily at the extremes of the alternatives’ space.

Suggested Citation

  • Grisel Ayllón & Diego M. Caramuta, 2016. "Single-dipped preferences with satiation: strong group strategy-proofness and unanimity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 245-264, August.
    • Handle: RePEc:spr:sochwe:v:47:y:2016:i:2:d:10.1007_s00355-016-0957-0
    DOI: 10.1007/s00355-016-0957-0
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    References listed on IDEAS

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    Cited by:

    1. Peters, Hans & Roy, Souvik & Sadhukhan, Soumyarup & Storcken, Ton, 2017. "An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 84-90.
    2. Dietzenbacher, Bas & Tamura, Yuki, 2023. "Fair and efficient allocations when preferences are single-dipped," Research Memorandum 009, Maastricht University, Graduate School of Business and Economics (GSBE).
    3. Gong, Doudou & Dietzenbacher, Bas & Peters, Hans, 2022. "Mechanisms for division problems with single-dipped preferences," Research Memorandum 007, Maastricht University, Graduate School of Business and Economics (GSBE).

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