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Extended proportionality in division problems with multiple references

delete2013-05-08
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PRE
AI
M
M. Á. Hinojosa *
A
A. M. Mármol
F
Francisca J. Sánchez‐Sánchez
DOI:10.1007/s10479-013-1388-2delete
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Abstract

Abstract

En 中文
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.
Keywords:
Division problems
Proportional rule
Multiple references

Journal

Annals of Operations Research cover
Annals of Operations Research
IF:
4.5
Papers:
8.0K
Citations:
2.1W

Organization

U
Universidad Pablo de Olavide
Scholars:
3.2K
Papers: 3.0K
Citations: 4.4K
U
University of Sevilla
Scholars:
1.9W
Papers: 1.7W
Citations: 15