**Dutta, Debojyoti and Goel, Ashish and Heidemann, John**

*USC/Information Sciences Institute*

## citation

Debojyoti Dutta, Ashish Goel and John Heidemann 2002. **Oblivious AQM and Nash Equilibria**. Technical Report 02-764. University of Southern California Computer Science Department.
[PDF]

## abstract

An oblivious Active Queue Management scheme is one which does not
differentiate between packets belonging to different flows. In this
paper, we study the existence and the quality of Nash equilibria
imposed by oblivious AQM schemes on selfish agents. Oblivious AQM
schemes are of obvious importance because of the ease of
implementation and deployment, and Nash equilibrium offers valuable
clues into network performance under non-cooperative user
behavior. Specifically, we ask the following three questions: 1) Do
there exist oblivious AQM schemes that impose Nash equilibria on
selfish agents? 2) Are the imposed equilibria, if they exist,
efficient in terms of the goodput obtained and the drop probability
experienced at the equilibrium? 3) How easy is it for selfish users
to reach the Nash equilibrium state? We assume that the traffic
sources are Poisson but the users can control the average rate. We
show that drop-tail and RED do not impose Nash equilibria. We modify
RED slightly to obtain an oblivious scheme, VLRED, that imposes a Nash
equilibrium, but is not efficient. We then present another AQM policy,
EN-AQM, that can impose an efficient Nash equilibrium. Finally, we
show that for any oblivious AQM, the Nash equilibrium imposed on
selfish agents is highly sensitive as the number of agents increases,
thus making it hard for the users to converge to the Nash equilibrium,
and motivating the need for equilibria-aware protocols.

## reference

@techreport{Dutta02b,
author = {Dutta, Debojyoti and Goel, Ashish and Heidemann, John},
title = {Oblivious AQM and Nash Equilibria},
institution = {University of Southern California Computer Science Department},
year = {2002},
sortdate = {2002-07-01},
project = {ant, saman},
jsubject = {networking},
number = {02-764},
month = jul,
location = {johnh: pafile},
keywords = {router buffer strategies, nash equilibria},
otherurl = {ftp://ftp.usc.edu/pub/csinfo/tech-reports/papers/02-764.pdf},
url = {http://www.isi.edu/%7ejohnh/PAPERS/Dutta02b.html},
psurl = {http://www.isi.edu/%7ejohnh/PAPERS/Dutta02b.ps.gz},
pdfurl = {http://www.isi.edu/%7ejohnh/PAPERS/Dutta02b.pdf},
myorganization = {USC/Information Sciences Institute}
}