The constrained equal losses family of rules for claims problems

Identifier:  imarina:9374054

Handle: https://hdl.handle.net/20.500.11797/imarina9374054

Authors:  Giménez-Gómez, JM; Salekpay, F; Vilella, C

Abstract:
In this study, we introduce a family of rules for claims problems called the CEL-family. The family is defined by means of a parameter theta is an element of [ 0 , 1 ] \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta \in [0,1]$$\end{document} as a notion of solidarity and contribution. It contains the constrained equal losses and the constrained equal awards rules. We perform an axiomatic analysis considering the main properties in the literature, for the sake of comparison. We apply the family to the distribution of the European Regional Development Funds to study how the rules in the family treat regions with relatively smaller claims compared to regions with relatively larger claims.