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This paper considers, in the context of the fixed-population constant-sum comparison of income distributions, a number of intransitive binary relations smaller than Lorenz dominance. We determine their transitive closure and we study how they relate to each other and to other relations that have...
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There is an irreductible conflict between, on the one hand, the desire to allocate income in society in an equitable way and, on the other, the desire to alleviate poverty. The conflict materializes itself in the problem of designing a basic income (or negative income tax) system which requires...
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This paper characterize two preorders over vectors, representing here income distributions, which, for the case of an order-preserving additive welfare function, corresponds the the increasing concave functions which are more concave than ln(x) and than -1/x, respectively. We provide a...
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