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For the class of linear inequality indices, of which the Gini coefficient is a member, a measure characterizing the strength of an index\u2019s aversion to inverse downside inequality against its own inequality aversion is shown to determine the ranking by the index of two distributions whose Lorenz curves cross once. The precise condition under which the same result generalizes to the case of multiple-crossing Lorenz curves is also identified.<\/jats:p>","DOI":"10.1007\/s00355-020-01288-6","type":"journal-article","created":{"date-parts":[[2020,10,2]],"date-time":"2020-10-02T07:02:58Z","timestamp":1601622178000},"page":"487-508","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Intersecting Lorenz curves and aversion to inverse downside inequality"],"prefix":"10.1007","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3000-9519","authenticated-orcid":false,"given":"W. 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