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Heavy Traffic Approximation of Equilibria in Resource Sharing Games

2011/09/28 by Yu Wu, Wu, Yu, Loc Bui +3
Business, Management and Accounting · Economics, Econometrics and Finance · Engineering · #Advanced Queuing Theory Analysis #Advanced Wireless Network Optimization #Computer Science and Game Theory (cs.GT) #Economic theories and models #FOS: Computer and information sciences

paper · pdf · doi:10.48550/arxiv.1109.6166

openalex publication_date 2011/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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