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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 of public facilities to be located. We consider public facilities that do not suffer from congestion and are non-excludable. We characterize 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 the subclasses of priority rules that respectively satisfy anonymity, avoid the no-show paradox, strategy-proofness and population-monotonicity. 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. Any such rule can also be viewed as a collection of generalized peak-selection median rules, that are linked across populations, in a way that we describe.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 74 (2012)
Issue (Month): 1 ()
Pages: 52-67

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Handle: RePEc:eee:gamebe:v:74:y:2012:i:1:p:52-67

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Web page: http://www.elsevier.com/locate/inca/622836

Related research

Keywords: Multiple public facilities; Priority rules; Hierarchical rules; Object-population monotonicity; Sovereignty; Strategy-proofness; Generalized median voter rules; No-show paradox;

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References

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  1. 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.
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  6. Ju, Biung-Ghi, 2008. "Efficiency and consistency for locating multiple public facilities," Journal of Economic Theory, Elsevier, vol. 138(1), pages 165-183, January.
  7. Sidartha Gordon, 2007. "Solidarity in choosing a location on a cycle," Social Choice and Welfare, Springer, vol. 29(1), pages 125-147, July.
  8. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
  9. 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.
  10. Eiichi Miyagawa, 2001. "Locating libraries on a street," Social Choice and Welfare, Springer, vol. 18(3), pages 527-541.
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  12. Vohra, Rakesh V., 1999. "The replacement principle and tree structured preferences," Economics Letters, Elsevier, vol. 63(2), pages 175-180, May.
  13. William Thomson, 1999. "Welfare-domination under preference-replacement: A survey and open questions," Social Choice and Welfare, Springer, vol. 16(3), pages 373-394.
  14. Thomson, William, 1993. "The replacement principle in public good economies with single-peaked preferences," Economics Letters, Elsevier, vol. 42(1), pages 31-36.
  15. Barbera, Salvador & Bevia, Carmen, 2002. "Self-Selection Consistent Functions," Journal of Economic Theory, Elsevier, vol. 105(2), pages 263-277, August.
  16. Ehlers, L., 2001. "Multiple Public Goods and Lexicographic Preferences Replacement Principle," Cahiers de recherche 2001-25, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  17. GORDON, Sidartha, 2006. "Public Decisions: Solidarity and the Status Quo," Cahiers de recherche 16-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  18. 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.
  19. 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).
  20. 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.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. 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.

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