Skip to main content

Paradoxes in a Multi-criteria Routing Game

  • Conference paper
  • First Online:

Abstract

In this paper, we consider a routing game in a network that contains lossy links. We consider a multi-objective problem where the players have each a weighted sum of a delay cost and a cost for losses. We compute the equilibrium and optimal solution (which are unique). We discover here in addition to the classical Kameda type paradox another paradoxical behavior in which higher loss rates have a positive impact on delay and therefore higher quality links may cause a worse performance even in the case of a single player.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   60.00
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

Learn about institutional subscriptions

References

  1. Koutsoupias, E., Papadimitriou, C.: Worst-case equilibria. In: Proceedings of STACS (1999)

    Google Scholar 

  2. Kameda, H., Altman, E., Kozawa, T., Hosokawa, Y.: Braess-like paradoxes in distributed computer systems. IEEE Trans. Autom. Control 45(9), 1687–1690 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  3. Altman, E., Kuri, J., El-Azouzi, R.: A routing game in networks with lossy links. In: 7th International Conference on NETwork Games Control and OPtimization (NETGCOOP 2014), October 2014, Trento (2014)

    Google Scholar 

  4. Wu, Y., Peng, Y., Peng, L., Xu, L.: Super efficiency of multicriterion network equilibrium model and vector variational inequality. J. Optim. Theor. Appl. 153(2), 485–496 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  5. Altman, E., El-Azouzi, R., Abramov, V.: Non-cooperative routing in loss networks. Perform. Eval. 49(1–4), 43–55 (2002)

    Article  MATH  Google Scholar 

  6. Altman, E., Boulogne, T., El Azouzi, R., Jimenez, T., Wynter, L.: A survey on networking games in telecommunications. Comput. Oper. Res. 33, 286–311 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  7. Wynter, L., Altman, E.: Equilibrium, games, and pricing in transportation and telecommunications networks. Netw. Spacial Econ. 4(1), 7–21 (2004). Special Issue of on Crossovers between Transportation Planning and Telecommunications

    Article  MATH  Google Scholar 

  8. El-Azouzi, R., Altman, E.: Constrained traffic equilibrium in routing. IEEE Trans. Autom. Control 48(9), 1656–1660 (2003)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Eitan Altman .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

About this paper

Cite this paper

Boukoftane, A., Altman, E., Haddad, M., Oukid, N. (2017). Paradoxes in a Multi-criteria Routing Game. In: Duan, L., Sanjab, A., Li, H., Chen, X., Materassi, D., Elazouzi, R. (eds) Game Theory for Networks. GameNets 2017. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 212. Springer, Cham. https://doi.org/10.1007/978-3-319-67540-4_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67540-4_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67539-8

  • Online ISBN: 978-3-319-67540-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics