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Weighted Majoritarian Rules for the Location of Multiple Public Facilities

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  • Sidartha Gordon

    (Département d'économie)

  • Olivier Bochet

    (University of Bern)

  • René Saran

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.

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Bibliographic Info

Paper provided by Sciences Po in its series Sciences Po publications with number 2013-15.

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Date of creation: Oct 2013
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Handle: RePEc:spo:wpmain:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4

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Related research

Keywords: Multiple Public Facilities; Priority Rules; Weighted Majori- tarian Rules; Object-Population Monotonicity; Sovereignty; Reinforcement; Anonymity.;

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References

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  1. Biung-Ghi Ju, 2007. "Efficiency and Consistency for Locating Multiple Public Facilities," Discussion Paper Series 0716, Institute of Economic Research, Korea University.
  2. Carmen Bevi? & Salvador Barber?, . "Self-Selection Consistent Functions," UFAE and IAE Working Papers 468.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. 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.
  4. Eiichi Miyagawa, 2001. "Locating libraries on a street," Social Choice and Welfare, Springer, vol. 18(3), pages 527-541.
  5. Ehlers, Lars, 2002. "Multiple public goods and lexicographic preferences: replacement principle," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 1-15, February.
  6. BOCHET, Olivier & GORDON, Sidartha, 2008. "Priorities in the Location of Multiple Public Facilities," Cahiers de recherche 07-2008, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  7. Eun Heo, 2013. "Strategy-proof rules for two public goods: double median rules," Social Choice and Welfare, Springer, vol. 41(4), pages 895-922, October.
  8. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  9. Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
  10. Masashi Umezawa, 2012. "The replacement principle for the provision of multiple public goods on tree networks," Social Choice and Welfare, Springer, vol. 38(2), pages 211-235, February.
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