2011 | OriginalPaper | Chapter
Heavy Traffic Approximation of Equilibria in Resource Sharing Games
Authors : Yu Wu, Loc Bui, Ramesh Johari
Published in: Internet and Network Economics
Publisher: Springer Berlin Heidelberg
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We consider a model of priced resource sharing that combines both
queueing behavior
and
strategic behavior
. We study a priority service model where a single server allocates its capacity to agents in proportion to their payment to the system, and users from different classes act to minimize the sum of their cost for processing delay and payment. As the exact processing time of this system is hard to compute, we introduce the notion of
heavy traffic equilibrium
as an approximation of the Nash equilibrium, derived by considering the asymptotic regime where the system load approaches capacity. We discuss efficiency and revenue, and in particular provide a bound for the price of anarchy of the heavy traffic equilibrium.