We provide an axiomatic characterization of an income segregation index in school districts. One axiom requires that single-school districts be the least segregated of all districts. A second axiom requires that any reorganization of a subdistrict that raises its segregation, raises the districtwide segregation as well. A third axiom requires an intuitive decomposition by subdistricts into within-district and between-district terms. We show that these axioms, along with other standard requirements uniquely (up to multiplication by a positive constant) characterizes the index given by the inequality between the districts' schools as measured by Theil's second measure of income inequality.
Sun, 14/05/2017 - 16:00 to 17:00
Elath Hall, 2nd floor, Feldman Building, Edmond J. Safra Campus