Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Axiomatic Theory of Fairness in Network Resource Allocation   We present a set of five axioms for fairness measures in resource allocation.
A family of fairness measures satisfying the axioms is constructed. Well-known
notions such as alpha-fairness, Jain's index, and entropy are shown to be
special cases. Properties of fairness measures satisfying the axioms are
proven, including Schur-concavity. Among the engineering implications is a
generalized Jain's index that tunes the resolution of the fairness measure, a
new understanding of alpha-fair utility functions, and an interpretation of
"larger alpha is more fair". We also construct an alternative set of four
axioms to capture efficiency objectives and feasibility constraints.

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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org