TY - JOUR

T1 - Priority Classes and Weighted Constrained Equal Awards Rules for the Claims Problem

AU - Flores-Szwagrzak, Karol

PY - 2015

Y1 - 2015

N2 - We revisit the "claims problem" (O'Neill, 1982), where a group of individuals have claims on a resource but there is not enough of it to honor all of the claims. We characterize the rules satisfying three well-known invariance axioms: consistency, composition up, and claims truncation invariance. They are priority-augmented versions of the standard weighted constrained equal awards rules, also known as weighted gains methods (Moulin, 2000): individuals are sorted into priority classes; the resource is distributed among the individuals in the first priority class using a weighted constrained equal awards rule; if some of the resource is left over, then it is distributed among the individuals in the second priority class, again using a weighted constrained equal awards rule; the distribution carries on in this way until the resource is exhausted. Our characterization extends to a generalized version of the claims problem where there are multiple divisible and indivisible resources and individuals have claims on each of these.

AB - We revisit the "claims problem" (O'Neill, 1982), where a group of individuals have claims on a resource but there is not enough of it to honor all of the claims. We characterize the rules satisfying three well-known invariance axioms: consistency, composition up, and claims truncation invariance. They are priority-augmented versions of the standard weighted constrained equal awards rules, also known as weighted gains methods (Moulin, 2000): individuals are sorted into priority classes; the resource is distributed among the individuals in the first priority class using a weighted constrained equal awards rule; if some of the resource is left over, then it is distributed among the individuals in the second priority class, again using a weighted constrained equal awards rule; the distribution carries on in this way until the resource is exhausted. Our characterization extends to a generalized version of the claims problem where there are multiple divisible and indivisible resources and individuals have claims on each of these.

KW - Claims truncation invariance

KW - Composition up

KW - Consistency

KW - Consistency

KW - Composition up

KW - Claims truncation invariance

U2 - 10.1016/j.jet.2015.08.008

DO - 10.1016/j.jet.2015.08.008

M3 - Journal article

AN - SCOPUS:84941270044

VL - 160

SP - 36

EP - 55

JO - Journal of Economic Theory

JF - Journal of Economic Theory

SN - 0022-0531

ER -