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.
Original language | English (US) |
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Pages (from-to) | 454-459 |
Number of pages | 6 |
Journal | Journal of Mathematical Economics |
Volume | 49 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2013 |
Keywords
- Anonymity
- Object-population monotonicity
- Priority rules
- Reinforcement
- Sovereignty
- Weighted majoritarian rules
ASJC Scopus subject areas
- Economics and Econometrics
- Applied Mathematics