[KSCI] Korea Science Citation Index Service

Estimating the Price of Anarchy Using Load Balancing Measure

Kim, Jae-Hoon (Division of Computer Engineering, Pusan University)

Publication Information

Journal of information and communication convergence engineering / v.7, no.2, 2009 , pp. 148-151 More about this Journal

Abstract

We consider the problem of optimizing the performance of a system with resources shared by non-cooperative users. The worst-cast ratio between the cost of a Nash equilibrium and the optimal cost, called Price of Anarchy, is investigated. It measures the performance degradation due to the users' selfish behavior. As the objective function of the optimization problem, we are concerned in a load balancing measure, which is different from that used in the previous works. Also we consider the Stackelberg scheduling which can assign a fraction of the users to resources while the remaining users are free to act in a selfish manner.

Keywords

Nash equilibrium; load balancing; Price of Anarchy;

Citations & Related Records

Reference

1	Y. Azar, "On-line load balancing", Online Algorithms-The State of the Art, pp. 178-195, 1998
2	T. Lucking, M. Mavronicolas, B. Monien, and M. Rode, "A new model for selfish routing", Pro. 21 th Int. Symp. on Theoretical Aspects of Computer Science, pp. 547-558,2004
3	J. G. Wardrop, "Some theoretical aspects of road traffic research", Proc.of the Institute of Civil Engineers, Pt. II, Vol. 1, pp. 325-378, 2002
4	T. Roughgarden, "Stackelberg scheduling strategies", SIAM Journal on Computing, Vol. 33(2),pp.332-350, 2004 DOI ScienceOn
5	T. Roughgarden, "The price of anarchy is independent of the network topology", Journal of Computer and System Science, Vol. 67(1), pp. 341-364, 2003 DOI ScienceOn
6	J. R. Correa, A. S. Schulz, and N. E. Stier-Moses, "Selfish routing in capacitated networks", Mathematics of Operations Research, Vol. 29(4), pp.961-976, 2004 DOI ScienceOn
7	Y. A. Korilis, A. A. Lazar, and A. Orda, "Achieving network optima using Stackelberg routing strategies", IEEE/ACM Transactions on Networking, Vol. 5(1), pp. 161-173, 1997 DOI ScienceOn
8	B. Awerbuch, Y. Azar, E. Grove, M. Kao, P. Krishnan, and 1. Vitter, "Load Balancing in the Lp nonn", Proc. 36th Annual Symp. on Foundation of Computer Science, pp. 383-391, 1995 DOI
9	B. Awerbuch, Y. Azar, and A. Epstein, "The price of routing unsplittable flow", Proc. 37th ACM Symp. on Theory of Computing, pp. 57-66,2005 DOI
10	E. Koutsoupias and C. Papadimitriou, "Worstcase equilibria", Pro. 16th Int. Symp. on Theoretical Aspects of Computer Science, pp. 404-413, 1999
11	T. Roughgarden and E. Tardos, "How bad is selfish routing ?", Journal of the ACM, Vol. 49(2), pp.236-259,2002 DOI ScienceOn
12	G. Christodoulou and E. Koutsoupias, "The price of anarchy of finite congestion games", Proc. 37th ACM Symp. on Theory of Computing, pp. 67-73, 2005 DOI
13	M. Garing, T. Lucking, M. Mavronicolas, B. Monien, and M. Rode, "Nash equilibria in discrete routing games with convex latency functions", Proc. 31st Int. Col. on Automata, Languages and Programming, pp. 645-657, 2004
14	S. Aland, D. Dumrauf, M. Gairing, B. Monien, and F. Schoppmann, "Exact price of anarchy for polynomial congestion games", Pro. 23rd Int. Symp. on Theoretical Aspects of Computer Science,pp.218-229,2006 DOI ScienceOn