In a system in which noncooperative agents share a common resource, we propose the ratio between the worst possible Nash equilibrium and the social optimum as a measure of the effectiveness of the system. Deriving upper and lower bounds for this ratio in a model in which several agents share a very simple network leads to some interesting mathematics, results, and open problems.
- B. Braden, D. Clark, J. Crowcroft, B. Davie, S. Deering, D. Estrin, S. Floyd, V. Jacobson, G. Minshall, C. Partridge, L. Peterson, K. Ramakrishnan, S. Shenker, J. Wroclawski, and L. Zhang. Recommendations on Queue Management and Congestion Avoidance in the Internet, April 1998. http://info.internet.isi.edu:80/in-notes/rfc/files/rfc2309.txt
- Cho, Y., Sahni, S. (1980) Bounds for list schedules on uniform processors. SIAM Journal on Computing 9: pp. 91-103 CrossRef
- S. Floyd and K. Fall. Router Mechanisms to Support End-to-End Congestion Control. Technical report, Lawrence Berkeley National Laboratory, February 1997.
- G. R. Grimmet and D. R. Stirzaker. Probability and Random Processes, 2nd ed.. Oxford University Press, 1992.
- Korilis, Y., Lazar, A. (1995) On the existence of equilibria in noncooperative optimal flow control. Journal of the ACM 42: pp. 584-613 CrossRef
- Y. Korilis, A. Lazar, A. Orda. Architecting noncooperative networks. IEEE J. Selected Areas of Comm., 13, 7, 1995.
- R. La, V. Anantharam. Optimal routing control: Game theoretic approach. Proc. 1997 CDC Conf.
- G. Owen. Game Theory, 3rd ed.. Academic Press, 1995.
- K. Park, M. Sitharam, S. Chen. Quality of service provision in noncooperative network environments. Manuscript, Purdue Univ., 1998.
- C. H. Papadimitriou, M. Yannakakis. On complexity as bounded rationality. In Proceedings of the Twenty-Sixth Annual ACM Symposium on the Theory of Computing. pages 726–733, Montreal, Quebec, Canada, 23–25 May 1994.
- S. J. Shenker. Making greed work in networks: a game-theoretic analysis of switch service disciplines. IEEE/ACM Transactions on Networking, 3(6):819–831, Dec.1995.
- S. Shenker, D. Clark, D. Estrin, and S. Herzog. Pricing in Computer Network: Reshaping the Research Agenda. Communications Policy, 20(1), 1996.
- Worst-Case Equilibria
- Book Title
- STACS 99
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- 16th Annual Symposium on Theoretical Aspects of Computer Science Trier, Germany, March 4–6, 1999 Proceedings
- pp 404-413
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- Lecture Notes in Computer Science
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- Springer Berlin Heidelberg
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- Springer-Verlag Berlin Heidelberg
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