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Summary: Tradeo#s in worstcase equilibria
Baruch Awerbuch a
a Dept. of Computer Science, Johns Hopkins University, Baltimore, MD, 21218.
Yossi Azar b,1 , Yossi Richter b,2
b School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel.
Dekel Tsur c
c Department of Computer Science and Engineering, University of California San
Diego, La Jolla, CA 92093
Abstract
We investigate the problem of routing tra#c through a congested network in an
environment of noncooperative users. We use the worstcase coordination ratio
suggested by Koutsoupias and Papadimitriou to measure the performance degrada
tion due to the lack of a centralized tra#c regulating authority. We provide a full
characterization of the worstcase coordination ratio in the restricted assignment
and unrelated parallel links model. In particular, we quantify the tradeo# between
the ``negligibility'' of the tra#c controlled by each user and the worstcase coordi
nation ratio. We analyze both pure and mixed strategies systems and identify the
range where their performance is similar.
Email addresses: baruch@cs.jhu.edu (Baruch Awerbuch), azar@tau.ac.il
(Yossi Azar), yo@tau.ac.il (Yossi Richter), dtsur@cs.ucsd.edu (Dekel Tsur).
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