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Atomic Selfish Routing in Networks: A Survey

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Internet and Network Economics (WINE 2005)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3828))

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Abstract

In this survey we present some recent advances in the literature of atomic (mainly network) congestion games. The algorithmic questions that we are interested in have to do with the existence of pure Nash equilibria, the efficiency of their construction when they exist, as well as the gap of the best/worst (mixed in general) Nash equilibria from the social optima in such games, typically called the Price of Anarchy and the Price of Stability respectively.

This work is partially supported by the EU within 6th FP under contract 001907 (DELIS).

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References

  1. Anshelevich, E., Dasgupta, A., Kleinberg, J., Tardos, E., Wexler, T., Roughgarden, T.: The price of stability for network design with fair cost allocation. In: Proc. of the 45th IEEE Symp. on Foundations of Computer Science (FOCS 2004), pp. 295–304 (2004)

    Google Scholar 

  2. Anshelevich, E., Dasgupta, A., Tardos, E., Wexler, T.: Near-optimal network design with selfish agents. In: Proc. of the 35th ACM Symp. on Theory of Computing (STOC 2003), pp. 511–520 (2004)

    Google Scholar 

  3. Awerbuch, B., Azar, Y., Epstein, A.: The price of routing unsplittable flow. In: Proc. of the 37th ACM Symp. on Theory of Computing (STOC 2005), pp. 57–66 (2005)

    Google Scholar 

  4. Christodoulou, G., Koutsoupias, E.: The Price of Anarchy of Finite Congestion Games. In: Proc. of the 37th ACM Symp. on Theory of Computing (STOC 2005), pp. 67–73 (2005)

    Google Scholar 

  5. Czumaj, A., Krysta, P., Voecking, B.: Selfish traffic allocation for server farms. In: Proc. of the 34th ACM Symp. on Theory of Computing (STOC 2002), pp. 287–296 (2002)

    Google Scholar 

  6. Czumaj, A., Voecking, B.: Tight bounds for worst-case equilibria. In: Proc. of the 13th ACM-SIAM Symposium on Discrete Algorithms (SODA 2002), pp. 413–420 (2002)

    Google Scholar 

  7. Even-Dar, E., Kesselman, A., Mansour, Y.: Convergence time to nash equilibria. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 502–513. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  8. Fabrikant, A., Papadimitriou, C., Talwar, K.: The complexity of pure nash equilibria. In: Proc. of the 36th ACM Symp. on Theory of Computing, STOC 2004 (2004)

    Google Scholar 

  9. Feldmann, R., Gairing, M., Luecking, T., Monien, B., Rode, M.: Nashification and the coordination ratio for a selfish routing game. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 514–526. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  10. Fotakis, D., Kontogiannis, S., Koutsoupias, E., Mavronicolas, M., Spirakis, P.: The structure and complexity of nash equilibria for a selfish routing game. In: Widmayer, P., Triguero, F., Morales, R., Hennessy, M., Eidenbenz, S., Conejo, R. (eds.) ICALP 2002. LNCS, vol. 2380, pp. 123–134. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. Fotakis, D., Kontogiannis, S., Spirakis, P.: Selfish unsplittable flows. In: Díaz, J., Karhumäki, J., Lepistö, A., Sannella, D. (eds.) ICALP 2004. LNCS, vol. 3142, pp. 593–605. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  12. Fotakis, D., Kontogiannis, S., Spirakis, P.: Symmetry in network congestion games: Pure equilibria and anarchy cost. In: Erlebach, T., Persinao, G. (eds.) WAOA 2005. LNCS, vol. 3879, pp. 161–175. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. Gairing, M., Luecking, T., Mavronicolas, M., Monien, B., Spirakis, P.: Extreme nash equilibria. In: Blundo, C., Laneve, C. (eds.) ICTCS 2003. LNCS, vol. 2841, pp. 1–20. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  14. Hochbaum, D., Shmoys, D.: A polynomial approximation scheme for scheduling on uniform processors: Using the dual approximation approach. SIAM J. Comput. 17(3), 539–551 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  15. Johari, R., Tsitsiklis, J.: Efficiency loss in a network resource allocation game. To appear in the Mathematics of Operations Research (2004)

    Google Scholar 

  16. Johnson, D., Papadimitriou, C., Yannakakis, M.: How easy is local search? J. of Computer and System Sciences 37, 79–100 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  17. Koutsoupias, E., Mavronicolas, M., Spirakis, P.: Approximate equilibria and ball fusion. ACM Transactions on Computer Systems 36, 683–693 (2003)

    MATH  MathSciNet  Google Scholar 

  18. Koutsoupias, E., Papadimitriou, C.: Worst-case equilibria. In: Meinel, C., Tison, S. (eds.) STACS 1999. LNCS, vol. 1563, pp. 404–413. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  19. Libman, L., Orda, A.: Atomic resource sharing in noncooperative networks. Telecommunication Systems 17(4), 385–409 (2001)

    Article  MATH  Google Scholar 

  20. Lücking, T., Mavronicolas, M., Monien, B., Rode, M.: A new model for selfish routing. In: Diekert, V., Habib, M. (eds.) STACS 2004. LNCS, vol. 2996, pp. 547–558. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  21. Lücking, T., Mavronicolas, M., Monien, B., Rode, M., Spirakis, P., Vrto, I.: Which is the worst-case nash equilibrium? In: Rovan, B., Vojtáš, P. (eds.) MFCS 2003. LNCS, vol. 2747, pp. 551–561. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  22. Mavronicolas, M., Spirakis, P.: The price of selfish routing. In: Proc. of the 33rd ACM Symp. on Theory of Computing (STOC 2001), pp. 510–519 (2001)

    Google Scholar 

  23. Milchtaich, I.: Congestion games with player-specific payoff functions. Games and Economic Behavior 13, 111–124 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  24. Monderer, D., Shapley, L.: Potential games. Games and Economic Behavior 14, 124–143 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  25. Rosenthal, R.W.: A class of games possessing pure-strategy nash equilibria. International Journal of Game Theory 2, 65–67 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  26. Roughdarden, T., Tardos, E.: How bad is selfish routing? J. Assoc. Comput. Mach. 49(2), 236–259 (2002)

    Google Scholar 

  27. Roughgarden, T.: The price of anarchy is independent of the network topology. In: Proc. of the 34th ACM Symp. on Theory of Computing (STOC 2002), pp. 428–437 (2002)

    Google Scholar 

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Kontogiannis, S., Spirakis, P. (2005). Atomic Selfish Routing in Networks: A Survey. In: Deng, X., Ye, Y. (eds) Internet and Network Economics. WINE 2005. Lecture Notes in Computer Science, vol 3828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11600930_100

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  • DOI: https://doi.org/10.1007/11600930_100

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30900-0

  • Online ISBN: 978-3-540-32293-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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