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.
['Mihir Bhattacharya']
Multilevel multidimensional consistent aggregators