Abstract
The temptation to seek multivariate generalizations of majorization and the Lorenz order is strong, and has not been resisted. In an income setting it is reasonable to consider income from several sources or income in incommensurable units. In fact, the idea that income can be measured undimensionally is perhaps the radical point of view, and interest should center on multivariate measures of income. Let us first consider various possible multivariate generalizations of majorization.
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Arnold, B.C., Sarabia, J.M. (2018). Multivariate Majorization and Multivariate Lorenz Ordering. In: Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics. Statistics for Social and Behavioral Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-93773-1_7
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DOI: https://doi.org/10.1007/978-3-319-93773-1_7
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