Oligarchies in Spatial Environments
AbstractIn spatial environments we consider social welfare functions satisfying Arrow''s requirements, i.e. weak Pareto and independence of irrelevant alternatives. Individual preferences measure distances between alternatives according to the Lp-norm (for a fixed p > 1). When the policy space is multi-dimensional and the set of alternatives has a non-empty interior and it is compact and convex, any quasi-transitive welfare function must be oligarchic. As a corollary we obtain that for transitive welfare functions weak Pareto, independence of irrelevant alternatives, and non-dictatorship are inconsistent if the set of alternatives has a non-empty interior and it is compact and convex.
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Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 042.
Date of creation: 2007
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Other versions of this item:
- EHLERS, Lars & STORCKEN, Ton, 2007. "Oligarchies in Spatial Environments," Cahiers de recherche 09-2007, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Ehlers, Lars & Storcken, Ton, 2007. "Oligarchies in Spatial Environments," Cahiers de recherche 2007-08, Universite de Montreal, Departement de sciences economiques.
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-11-24 (All new papers)
- NEP-CDM-2007-11-24 (Collective Decision-Making)
- NEP-GEO-2007-11-24 (Economic Geography)
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