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Preference densities and social choices |
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Notes for this articlep-borda difference is the borda difference up to p. Small p means difficulty of obtaining an aggregation rule. The word "intensity" is a bit misleading, since preferences are ordinal.
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AbstractAbstract We discuss a ranking method that allows social pairwise rankings of alternatives to depend on more than just individuals’ pairwise rankings. This violates Arrow’s Independence of Irrelevant Alternatives, but allows Borda’s rank-order counting, which provides a limited accounting for individual preference intensities. We capture Arrow’s rules (i.e., with IIA) and Borda’s method as two polar cases, and allow cases in between. Our main result provides the critical line dividing those degrees of intensity, or preference density, that yield positive results from those that yield negative results.
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