Weighted majoritarian rules for the location of multiple public facilities |
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Authors: | Olivier Bochet Sidartha Gordon Rene Saran |
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Institution: | 1. NYU-Abu Dhabi, United Arab Emirates;2. University of Bern, Switzerland;3. Sciences Po, France;4. Yale-NUS College, Singapore |
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Abstract: | We consider collective decision problems given by a profile of single-peaked preferences 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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Keywords: | Priority rules Weighted majoritarian rules Object-population monotonicity Sovereignty Reinforcement Anonymity |
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