Extended proportionality in division problems with multiple references

Extended proportionality in division problems with multiple references

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Article ID: iaor20133954
Volume: 206
Issue: 1
Start Page Number: 183
End Page Number: 195
Publication Date: Jul 2013
Journal: Annals of Operations Research
Authors: , ,
Keywords: agent based system
Abstract:

We consider an extension of the classic problem of division with claims to situations in which the characteristics of the agents are multi‐dimensional. The proportional rule is the most prominent in the one‐dimensional case, however there is no obvious way to define proportionality for the extended model. In this paper we introduce a property which generalizes proportionality, identify the family of rules satisfying it, and characterize a particular rule within this family on the basis of a property of symmetry.

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