IZA DP No. 8344: And the Winners Are... An Axiomatic Approach to Selection from a Set
published as 'Selections from ordered sets' in: Social Choice and Welfare, 2018, 50 (4), 677-703
We study here the problem of evaluating whether the selection from a set is close to the ranking determined by a measurable criterion. We propose a number of natural axioms and show that an index exists that satisfies all these axioms. The paper ends with an application of the index to Italian academia.