The proportional solution for rights problems
type: Item
instance of: scholarly article
title: The proportional solution for rights problems
zbMATH Open document ID: 0657.92020
DOI: 10.1016/0165-4896(88)90009-1
author: Youngsub Chun
published in: Mathematical Social Sciences
publication date: 1988-01-01T00:00:00Z
review text: The paper ranks among the attempts to build up a sociologically acceptable axiomatic theory of optimal allocation of amounts (like net worth, estates, taxes etc.) according to the claims of several subjects. The author mentions a lot of possible axioms, part of them new. He studies logical relations of these axioms and tries to characterize solutions satisfying several combinations of them. To do this, he defines the solutions in the form of vector functions and shows that in many cases such a function satisfies a given set of axioms iff it belongs to a specified class of functions that may be expressed explicitely. This enables one to prove that the proportional solution is the only optimal in many situations.
Mathematics Subject Classification ID: 91D99
Mathematics Subject Classification ID: 91B99
zbMATH DE Number: 4074874
zbMATH Keywords: axiomatic theory of optimal allocation of amounts
zbMATH Keywords: proportional solution
MaRDI profile type: Publication
full work available at URL: 0165-4896(88)90009-1
OpenAlex ID: W2021643626
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description: scientific article; zbMATH DE number 4074874