Skip to main content

On the Performance of Congestion Games for Optimum Satisfiability Problems

  • Conference paper
Internet and Network Economics (WINE 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4858))

Included in the following conference series:

Abstract

We introduce and study a congestion game having max sat as an underlying structure and show that its price of anarchy is 1/2. The main result is a redesign of the game leading to an improved price of anarchy of 2/3 from which we derive a non oblivious local search algorithm for max sat with locality gap 2/3. A similar congestion min sat game is also studied.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alimonti, P.: New Local Search Approximation Techniques for Maximum Generalized Satisfiability Problems. In: Bonuccelli, M.A., Crescenzi, P.P., Petreschi, R. (eds.) CIAC 1994. LNCS, vol. 778, pp. 40–53. Springer, Heidelberg (1994)

    Google Scholar 

  2. Battiti, R., Protasi, M.: Approximate Algorithms and Heuristics for MAX-SAT. In: Du, D.-Z., Pardalos, P.M. (eds.) Handbook of combinatorial optimization, vol. 1, pp. 77–148. Kluwer Academic Publishers, Dordrecht (1998)

    Google Scholar 

  3. Anshelevich, E., Dasgupta, A., Kleinberg, J.M., Tardos, É., Wexler, T., Roughgarden, T.: The Price of Stability for Network Design with Fair Cost Allocation. In: Proc. of FOCS 2004, pp. 295–304 (2004)

    Google Scholar 

  4. Bil ò, V.: On Satisfiability Games and the Power of Congestion Games. In: Proc. of AAIM 2007. LNCS, vol. 4508, pp. 231–240 (2007)

    Google Scholar 

  5. Christodoulou, G., Koutsoupias, E.: On the Price of Anarchy and Stability of Correlated Equilibria of Linear Congestion Games. In: Brodal, G.S., Leonardi, S. (eds.) ESA 2005. LNCS, vol. 3669, pp. 59–70. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  6. Christodoulou, G., Koutsoupias, E.: The Price of Anarchy of Finite Congestion Games. In: Proc. of STOC 2005, pp. 67–73 (2005)

    Google Scholar 

  7. Christodoulou, G., Koutsoupias, E., Nanavati, A.: Coordination Mechanisms. In: Díaz, J., Karhumäki, J., Lepistö, A., Sannella, D. (eds.) ICALP 2004. LNCS, vol. 3142, pp. 345–357. Springer, Heidelberg (2004)

    Google Scholar 

  8. Czumaj, A., Vöcking, B.: Tight bounds for worst-case equilibria. In: Proc. of SODA 2002, pp. 413–420 (2002)

    Google Scholar 

  9. Devanur, N.R., Garg, N., Khandekar, R., Pandit, V., Saberi, A., Vazirani, V.V.: Price of Anarchy, Locality Gap, and a Network Service Provider Game. In: Deng, X., Ye, Y. (eds.) WINE 2005. LNCS, vol. 3828, pp. 1046–1055. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  10. Fabrikant, A., Papadimitriou, C.H., Talwar, K.: The complexity of pure Nash equilibria. In: Proc. of STOC 2004, pp. 604–612 (2004)

    Google Scholar 

  11. Khanna, S., Motwani, R., Sudan, M., Vazirani, U.V.: On Syntactic versus Computational Views of Approximability. SIAM Journal on Computing 28(1), 164–191 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  12. 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 

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

    Article  MATH  MathSciNet  Google Scholar 

  14. Papadimitriou, C.H.: Algorithms, games, and the internet. In: Proc. of STOC 2001, pp. 749–753 (2001)

    Google Scholar 

  15. Roughgarden, T., Tardos, É.: How bad is selfish routing? In: Proc. of FOCS 2000, pp. 93–102 (2000)

    Google Scholar 

  16. Rosenthal, R.W.: A class of games possessing pure-strategy Nash equilibria. International Journal of Game Theory 2(1), 65–67 (1973)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Xiaotie Deng Fan Chung Graham

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Giannakos, A., Gourvès, L., Monnot, J., Paschos, V.T. (2007). On the Performance of Congestion Games for Optimum Satisfiability Problems. In: Deng, X., Graham, F.C. (eds) Internet and Network Economics. WINE 2007. Lecture Notes in Computer Science, vol 4858. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77105-0_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-77105-0_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77104-3

  • Online ISBN: 978-3-540-77105-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics