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Finding the Pareto optimal equitable allocation of homogeneous divisible goods among three players

Marco Dall'Aglio (), Camilla Di Luca () and Lucia Milone ()

Operations Research and Decisions, 2017, vol. 3, 35-50

Abstract: We consider the division of a finite number of homogeneous divisible items among three players. Under the assumption that each player assigns a positive value to every item, we develop a simple algorithm for its search. This is based on the tight relationship between two geometric objects of fair division: the Individual Pieces Set ($IPS$) and the Radon-Nykodim Set ($RNS$).

Keywords: Fair division; Pareto optimality; Graph theory. (search for similar items in EconPapers)
Date: 2017
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Handle: RePEc:wut:journl:v:3:y:2017:p:35-50:id:1330