Skip to main content

Price of Anarchy

2005; Koutsoupias

  • Reference work entry
Encyclopedia of Algorithms

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 399.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Unless otherwise stated, linear cost functions are considered throughout this article. For additional results on more general cost functions see entries Best Response Algorithms for Selfish Routing, Computing Pure Equilibria in the Game of Parallel Links, Price of Anarchy for Routing on Parallel Links

Recommended Reading

  1. Aland, S., Dumrauf, D., Gairing, M., Monien, B., Schoppmann, F.: Exact price of anarchy for polynomial congestion games. In: 23rd Annual Symposium on Theoretical Aspects of Computer Science (STACS), pp. 218–229. Springer, Marseille (2006)

    Google Scholar 

  2. Awerbuch, B., Azar, Y., Epstein A.: Large the price of routing unsplittable flow. In: Proc. of the 37th Annual ACM Symposium on Theory of Computing (STOC), pp. 57–66. ACM, Baltimore (2005)

    Google Scholar 

  3. Awerbuch, B., Azar, Y., Richter, Y., Tsur, D.: Tradeoffs in worst-case equilibria. In: Approximation and Online Algorithms, 1st International Workshop (WAOA), pp. 41–52. Springer, Budapest (2003)

    Google Scholar 

  4. Christodoulou, G., Koutsoupias, E.: On the price of anarchy and stability of correlated equilibria of linear congestion games. In: Algorithms – ESA 2005, 13th Annual European Symposium, pp. 59–70. Springer, Palma de Mallorca (2005)

    Chapter  Google Scholar 

  5. Christodoulou, G., Koutsoupias, E.: The price of anarchy of finite congestion games. In: Proc. of the 37th Annual ACM Symposium on Theory of Computing (STOC), pp. 67–73. ACM, Baltimore (2005)

    Google Scholar 

  6. Cominetti, R., Correa, J.R., Moses, N.E.S.: Network games with atomic players. In: Automata, Languages and Programming, 33rd International Colloquium (ICALP), pp. 525–536. Springer, Venice (2006)

    Chapter  Google Scholar 

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

    Google Scholar 

  8. Koutsoupias, E., Mavronicolas, M., Spirakis, P.G.: Approximate equilibria and ball fusion. Theor. Comput. Syst. 36, 683–693 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. Koutsoupias, E., Papadimitriou, C.H.: Worst-case equilibria. In: Proc. of the 16th Annual Symposium on Theoretical Aspects of Computer Science (STACS), pp. 404–413. Springer, Trier (1999)

    Google Scholar 

  10. Mavronicolas, M., Spirakis, P.G.: The price of selfish routing. In: Proc. on 33rd Annual ACM Symposium on Theory of Computing (STOC), pp. 510–519. ACM, Heraklion (2001)

    Google Scholar 

  11. Monderer, D., Shapley, L.: Potential games. Games Econ. Behav. 14, 124–143 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  12. Papadimitriou, C.H.: Algorithms, games, and the internet. In: Proc. on 33rd Annual ACM Symposium on Theory of Computing (STOC), pp. 749–753. ACM, Heraklion (2001)

    Google Scholar 

  13. Rosenthal, R.W.: A class of games possessing pure-strategy Nash equilibria. Int. J. Game Theor. 2, 65–67 (1973)

    Article  MATH  Google Scholar 

  14. Roughgarden, T., Tardos, E.: How bad is selfish routing? J. ACM 49, 236–259 (2002)

    Google Scholar 

  15. Roughgarden, T., Tardos, E.: Bounding the inefficiency of equilibria in nonatomic congestion games. Games Econ. Behav. 47, 389–403 (2004)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Christodoulou, G. (2008). Price of Anarchy. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30162-4_299

Download citation

Publish with us

Policies and ethics