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oai:riuma.uma.es:10630/404992026-02-03T11:09:28Zcom_10630_2254col_10630_37953

00925njm 22002777a 4500 dc Abul Naga, Ramses H author 2025 One large class of relations used in the measurement of social welfare and risk consists of relations induced by finitely generated cones. Within this class, we develop a general approach to investigate the ordering of distributions. We provide an equivalence between the statement that distributions x and y are ordered, and (1) the possibility of expressing x - y as a positive combination of a subset of linearly independent vectors from the generators of the cone, (2) the existence of a relation defined on a simplicial cone such that x and y are ordered by this latter relation, (3) the existence of a generalized inverse G of the matrix whose columns generate the cone, such that the product of G and the vector x - y results in a non-negative vector. We illustrate the results in the context of a discrete version of the cone of inframodular transfers. Abul Naga, R.H. (2025). Ordering distributions on a finitely generated cone. Social Choice Welfare https://hdl.handle.net/10630/40499 10.1007/s00355-025-01620-y Economía matemática Toma de decisiones Ordering distributions on a finitely generated cone