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Priorities in the Location of Multiple Public Facilities

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  • BOCHET, Olivier
  • GORDON, Sidartha

Abstract

A collective decision problem is described by a set of agents, a profile of single-peaked preferences over the real line and a number k of public facilities to be located. We consider public facilities that do not su¤er from congestion and are non-excludable. We provide a characterization of the class of rules satisfying Pareto-efficiency, object-population monotonicity and sovereignty. Each rule in the class is a priority rule that selects locations according to a predetermined priority ordering among interest groups. We characterize each of the subclasses of priority rules that respectively satisfy anonymity, hiding-proofness and strategy-proofness. In particular, we prove that a priority rule is strategy-proof if and only if it partitions the set of agents into a fixed hierarchy. Alternatively, any such rule can be viewed as a collection of fixed-populations generalized peak-selection median rules (Moulin, 1980), that are linked across populations, in a way that we describe.

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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2008-07.

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Length: 39 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:mtl:montde:2008-07

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Keywords: Multie blic facilities; Priority rules; Hierarchical rules; Object-lation-monotonicity; Sovereignty; Anonymity; Strategy-oofness; Generalized median rules; Hiding-oofness.;

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References

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  1. GORDON, Sidartha, 2006. "Public Decisions: Solidarity and the Status Quo," Cahiers de recherche 16-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Jackson, M.O.Matthew O. & Nicolo, Antonio, 2004. "The strategy-proof provision of public goods under congestion and crowding preferences," Journal of Economic Theory, Elsevier, vol. 115(2), pages 278-308, April.
  3. Barbera, S. & Sonnenschein, H., 1988. "Voting By Quota And Committee," UFAE and IAE Working Papers 95-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. Biung-Ghi Ju, 2007. "Efficiency and Consistency for Locating Multiple Public Facilities," Discussion Paper Series 0716, Institute of Economic Research, Korea University.
  5. Ehlers, L., 2001. "Multiple Public Goods and Lexicographic Preferences Replacement Principle," Cahiers de recherche 2001-25, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  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. 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).
  8. Thomson, W., 1992. "The Replacement Principle in Public Good Economies with Single-Peaked Preferences," RCER Working Papers 340, University of Rochester - Center for Economic Research (RCER).
  9. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
  10. Eiichi Miyagawa, 2001. "Locating libraries on a street," Social Choice and Welfare, Springer, vol. 18(3), pages 527-541.
  11. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
  12. GORDON, Sidartha, 2006. "Solidarity in Choosing a Location on a Cycle," Cahiers de recherche 17-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  13. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
  14. Anna Bogomolnaia & Antonio Nicolo, 2005. "Stable Assignment of Public Facilities under Congestion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(1), pages 65-91, 02.
  15. Bettina Klaus, 2001. "Target Rules for Public Choice Economies on Tree Networks and in Euclidean Spaces," Theory and Decision, Springer, vol. 51(1), pages 13-29, August.
  16. William Thomson, 1999. "Welfare-domination under preference-replacement: A survey and open questions," Social Choice and Welfare, Springer, vol. 16(3), pages 373-394.
  17. Moulin, Herve, 1987. "The Pure Compensation Problem: Egalitarianism versus Laissez-Fairism," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 769-83, November.
  18. Vohra, Rakesh V., 1999. "The replacement principle and tree structured preferences," Economics Letters, Elsevier, vol. 63(2), pages 175-180, May.
  19. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  20. David Cantala, 2004. "Choosing the level of a public good when agents have an outside option," Social Choice and Welfare, Springer, vol. 22(3), pages 491-514, 06.
  21. 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.
  22. Ching, S. & Thomson, W., 1993. "Population-Monotonic Solutions in Public Good Economies with Single- Peaked Preferences," RCER Working Papers 362, University of Rochester - Center for Economic Research (RCER).
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Citations

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Cited by:
  1. Sidartha Gordon & Olivier Bochet & 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.
  2. BOCHET, Olivier & GORDON, Sidartha, 2008. "Priorities in the Location of Multiple Public Facilities," Cahiers de recherche 2008-07, Universite de Montreal, Departement de sciences economiques.
  3. 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.
  4. 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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