Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
957709 | Journal of Economic Theory | 2007 | 37 Pages |
Abstract
Based on the Intersection Property, we show that the class of preference domains associated with “median spaces” gives rise to the strongest possibility results; in particular, we show that the existence of strategy-proof social choice rules that are non-dictatorial and neutral requires an underlying median space. A space is a median space if, for every triple of elements, there is a fourth element that is between each pair of the triple; numerous examples are given (some well-known, some novel), and the structure of median spaces and the associated preference domains is analysed.
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Authors
Klaus Nehring, Clemens Puppe,