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We estimate structural quantile treatment effects to analyze the relationship between household income and sorting into private or public education, using Italian data. Public education provision is redistributive when rich families, who contribute to its financing, find it optimal to sort out of the public system to buy the educational services in the private market. This may occur when the education quality is lower in the public compared to the private sector, meaning that households withfatcat:xsjsy2v74fbc5ip5txixrtd6ae