Nonsymmetric equal sacrifice solutions for claim problem.
A claim problem is the problem of distributing a given amount of a divisible resource among agents with unequal claims on the resource. The main result is the following representation of a strictly monotonic, consistent, path independent and individually unbounded solution of the claim problem. There exists a family of strictly increasing continuous utility functions such that all agents have equal differences between the values of their utility functions at the solution point and at the claim point. These solutions of the claim problem are called equal sacrifice solutions with respect to the family of utility functions.
scientific article; zbMATH DE number 1891768