RT Journal Article
T1 Ordering distributions on a finitely generated cone
A1 Abul Naga, Ramses H
K1 Economía matemática
K1 Toma de decisiones
AB 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.
PB Springer
YR 2025
FD 2025
LK https://hdl.handle.net/10630/40499
UL https://hdl.handle.net/10630/40499
LA eng
NO Abul Naga, R.H. (2025). Ordering distributions on a finitely generated cone. Social Choice Welfare
NO Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026