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Brams–Taylor model of fair division for divisible and indivisible items

✍ Scribed by Alexander Rubchinsky

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
748 KB
Volume
60
Category
Article
ISSN
0165-4896

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✦ Synopsis

In this article, the fair division problem for two participants in the presence of both divisible and indivisible items is considered. Three interrelated modifications of the notion of fair division -profitably, uniformly and equitably fair divisions -were introduced. Computationally efficient algorithm for finding all of them was designed. The algorithm includes repetitive solutions of integer knapsack-type problems as its essential steps. The necessary and sufficient conditions of the existence of proportional and equitable division were found. The statements of the article are illustrated by various examples.

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where he has taught since 1969. He received his Ph.D. in political science from Northwestern University in 1966 and has had visiting positions at Yale, the University of Haifa, and the University of California at Irvine, among others. He is a Fellow of the American Association for the Advancement of