Locating Public Facilities by Majority: Stability, Consistency and Group Formation
AbstractWe consider the following allocation problem: A fixed number of public facilities must be located on a line. Society is composed of N agents, who must be allocated to one and only one of these facilities. Agents have single peaked preferences over the possible location of the facilities they are assigned to, and do not care about the location of the rest of facilities. There is no congestion. We show that there exist social choice correspondences that choose locations and assign agents to them in such a way that: (1) these decisions are Condorcet winners whenever one exists, (2) the majority of the users of each facility supports the choice of its location, and (3) no agent wishes to become a user of another facility, even if that could induce a change of its present location by majority voting.
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Bibliographic InfoPaper provided by Barcelona Graduate School of Economics in its series Working Papers with number 128.
Date of creation: Dec 2002
Date of revision:
Social choice correspondences; condorcet rules; stability; Simpson Rule;
Other versions of this item:
- Barbera, Salvador & Bevia, Carmen, 2006. "Locating public facilities by majority: Stability, consistency and group formation," Games and Economic Behavior, Elsevier, vol. 56(1), pages 185-200, July.
- Salvador Barberà & Carmen Bevia, 2002. "Locating Public Facilities by Majority: Stability, Consistency and Group Formation," UFAE and IAE Working Papers 557.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 01 Mar 2004.
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