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Weighted Majoritarian Rules for the Location of Multiple Public Facilities

Author

Listed:
  • Olivier Bochet

    (University of Bern)

  • Sidartha Gordon

    (Université Paris-Dauphine)

  • René Saran

    (Yale University)

Abstract

We consider collective decision problems given by a profile of single-peakedpreferences defined over the real line and a set of pure public facilities to be located on the line. In this context, Bochet and Gordon (2012) provide a large class of priority rules based on efficiency, object-population monotonicity and sovereignty. Each such rule is described by a fixed priority ordering among interest groups. We show that any priority rule which treats agents symmetrically - anonymity - , respects some form of coherence across collective decision problems - reinforcement - and only depends on peak information - peak-only -, is a weighted majoritarian rule. Each such rule defines priorities based on the relative size of the interest groups and specific weights attached to locations. We give an explicit account of the richness of this class of rules.

Suggested Citation

  • Olivier Bochet & Sidartha Gordon & René Saran, 2013. "Weighted Majoritarian Rules for the Location of Multiple Public Facilities," Sciences Po Economics Discussion Papers 2013-15, Sciences Po Departement of Economics.
    • Handle: RePEc:spo:wpecon:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4
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    References listed on IDEAS

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    1. Olivier Bochet & Sidartha Gordon, 2012. "Priorities in the location of multiple public facilities," Post-Print hal-03417534, HAL.
    2. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    3. Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
    4. Barbera, Salvador & Bevia, Carmen, 2002. "Self-Selection Consistent Functions," Journal of Economic Theory, Elsevier, vol. 105(2), pages 263-277, August.
    5. Masashi Umezawa, 2012. "The replacement principle for the provision of multiple public goods on tree networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 211-235, February.
    6. Ehlers, Lars, 2003. "Multiple public goods, lexicographic preferences, and single-plateaued preference rules," Games and Economic Behavior, Elsevier, vol. 43(1), pages 1-27, April.
    7. Ehlers, Lars, 2002. "Multiple public goods and lexicographic preferences: replacement principle," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 1-15, February.
    8. Ju, Biung-Ghi, 2008. "Efficiency and consistency for locating multiple public facilities," Journal of Economic Theory, Elsevier, vol. 138(1), pages 165-183, January.
    9. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    10. Salvador Barber?Author-Name: Carmen Bevi?Author-Email: Carmen.Bevia@uab.es, "undated". "Stable Condorcet Rules," UFAE and IAE Working Papers 539.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    11. Olivier Bochet & Sidartha Gordon, 2012. "Priorities in the location of multiple public facilities," Post-Print hal-03417535, HAL.
    12. Eun Heo, 2013. "Strategy-proof rules for two public goods: double median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 895-922, October.
    13. Eiichi Miyagawa, 2001. "Locating libraries on a street," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 527-541.
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    Cited by:

    1. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    2. Junlae Kim & Seiyong Kim, 2020. "The Impact of Population Characteristics and Government Budgets on the Sustainability of Public Buildings in Korea’s Regional Cities," Sustainability, MDPI, vol. 12(14), pages 1-15, July.
    3. Lars Ehlers, 2022. "Three public goods and lexicographic preferences: replacement principle," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 367-384, September.

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    More about this item

    Keywords

    Multiple Public Facilities; Priority Rules; Weighted Majori- tarian Rules; Object-Population Monotonicity; Sovereignty; Reinforcement; Anonymity.;
    All these keywords.

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