Abstract
AbstractThe Lorenz order is commonly used to compare rules for claims problems. In this paper, we incorporate the average of awards rule, the mean value of the set of awards vectors for a claims problem, to the ranking of the standard rules by proving some properties that are satisfied by this rule. We define a pair of coefficients, inspired by the Gini index, aimed at measuring, for any given claims problem, the discrepancy between the awards assigned by a rule and the proportional division. We generalize the proportionality deviation indices by introducing coefficients that measure the deviation between the awards selected by any two division rules. We show how these deviation indices are related to the Lorenz order.
Funder
Ministerio de Ciencia, Innovación y Universidades
Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia
Publisher
Springer Science and Business Media LLC
Subject
General Economics, Econometrics and Finance
Cited by
5 articles.
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