Nonsymmetric equal sacrifice solutions for claim problem.
type: Item
instance of: scholarly article
title: Nonsymmetric equal sacrifice solutions for claim problem.
zbMATH Open document ID: 1035.91040
DOI: 10.1016/S0165-4896(01)00086-5
author: Natalia Naumova
published in: Mathematical Social Sciences
publication date: 2003-04-02T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 91B32
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 1891768
zbMATH Keywords: allocation rule
zbMATH Keywords: claim problem
zbMATH Keywords: equal sacrifice
zbMATH Keywords: goal programming
zbMATH Keywords: entropy
reviewed by: Giacomo Bonanno
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891768