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Multilevel multidimensional consistent aggregators

Abstract : This paper examines the structure of consistent, multidimensional, multilevel aggregators in two distinct models- one, where the set of evaluations is the unit interval and the other, where it is finite. In the first model, we characterize a class of separable rules called component-wise \\\\alpha \\ α -median rules. In the finite model, separability is no longer guaranteed. In addition to consistency, stronger notions of unanimity and anonymity are required to characterize a class of separable rules called bipartite rules.
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Submitted on : Tuesday, April 11, 2017 - 5:56:26 PM
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Mihir Bhattacharya. Multilevel multidimensional consistent aggregators. Social Choice and Welfare, 2016, 46 (4), pp.839-861. ⟨10.1007/s00355-015-0938-8⟩. ⟨hal-01505782⟩



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