Measuring fairness: Axioms and applications

Tian Lan, Mung Chiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

We present a set of five axioms for fairness measures and prove that there is a unique family of fairness measures satisfying the axioms. This unique family is constructed in closed form and shown to include both symmetric and asymmetric ones as special cases. The results are further extended to quantify fairness of continuous dimension inputs, where resource allocations vary over time. We demonstrate the applications of the axiomatic theory in congestion control, routing, and spectrum management problems.

Original languageEnglish (US)
Title of host publication2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Pages156-163
Number of pages8
DOIs
StatePublished - Dec 1 2011
Event2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 - Monticello, IL, United States
Duration: Sep 28 2011Sep 30 2011

Publication series

Name2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Other

Other2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
CountryUnited States
CityMonticello, IL
Period9/28/119/30/11

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Control and Systems Engineering

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