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Mathematical Methods of Operations Research
Article
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zbMATH Open
Article . 2012
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SSRN Electronic Journal
Article . 2007 . Peer-reviewed
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Mathematical Methods of Operations Research
Article . 2011 . Peer-reviewed
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DBLP
Article . 2012
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Consistent Cost Sharing

Consistent cost sharing
Authors: Koster, M.;

Consistent Cost Sharing

Abstract

The author considers the consistency properties of the solutions to the cost sharing problem. The article begins with an overview of the literature and previous results followed by a summary of the cost sharing model. The author then defines the idea of consistency of the cost sharing solutions and its relation to reduction maps. Several properties of consistency are presented and proven. The fourth section presents the two main characterization properties, namely additivity and constant returns, and their relationship with regards to consistency is explored. The article concludes with an annex containing the proofs of several very interesting lemmas.

Country
Netherlands
Related Organizations
Keywords

(parametric) rationing, Mathematics(all), additivity, 330, Cooperative games, cost sharing, resource allocation, mechanism, Management Science and Operations Research, Software, Resource and cost allocation (including fair division, apportionment, etc.)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    4
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
hybrid