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- Title
Separability and aggregation of equivalence relations.
- Authors
Dimitrov, Dinko; Marchant, Thierry; Mishra, Debasis
- Abstract
We provide axiomatic characterizations of two natural families of rules for aggregating equivalence relations: the family of join aggregators and the family of meet aggregators. The central conditions in these characterizations are two separability axioms. Disjunctive separability, neutrality, and unanimity characterize the family of join aggregators. On the other hand, conjunctive separability and unanimity characterize the family of meet aggregators. We show another characterization of the family of meet aggregators using conjunctive separability and two Pareto axioms, Pareto and Pareto. If we drop Pareto, then conjunctive separability and Pareto characterize the family of meet aggregators along with a trivial aggregator.
- Subjects
EQUIVALENCE relations (Set theory); ECONOMIC history; PARETO analysis; ECONOMIC development; ACQUISITION of data; ECONOMIC policy; URBAN planners
- Publication
Economic Theory, 2012, Vol 51, Issue 1, p191
- ISSN
0938-2259
- Publication type
Article
- DOI
10.1007/s00199-011-0601-2