On Network Formation Games with Heterogeneous Players and Basic Network Creation Games

  • Christos Kaklamanis
  • Panagiotis Kanellopoulos
  • Sophia Tsokana
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9778)


We consider two variants of the network formation game that aims to capture the impact of selfish behavior, on behalf of the network administrators, on the overall network structure and performance. In particular, we study basic network creation games, where each player aims to minimize her distance to the remaining players, and we present an improved lower bound on the graph diameter of equilibria of this game. We also consider network formation games with a large number of heterogeneous players and monetary transfers, and prove tight bounds on the price of anarchy under realistic assumptions about the cost function. Finally, we argue about the setting where these heterogeneous players must be connected with additional node-disjoint paths to mitigate the impact of failures.


  1. 1.
    Àlvarez, C., Serna, M., Fernàndez, A.: Network formation for asymmetric players and bilateral contracting. Theor. Comput. Syst. forthcoming. doi: 10.1007/s00224-015-9640-6
  2. 2.
    Alon, N., Demaine, E., Hajiaghayi, M., Leighton, T.: Basic network creation games. SIAM J. Discrete Math. 27(2), 656–668 (2013)MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Alon, N., Demaine, E., Hajiaghayi, M., Kanellopoulos, P., Leighton, T.: Correction: basic network creation games. SIAM J. Discrete Math. 28(3), 1638–1640 (2014)MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Arcaute, E., Dyagilev, K., Johari, R., Mannor, S.: Dynamics in tree formation games. Games Econ. Behav. 79, 1–29 (2013)MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Bilò, D., Gualà, L., Leucci, S., Proietti, G.: Locality-based network creation games. In: Proceedings of the 26th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), pp. 277–286 (2014)Google Scholar
  6. 6.
    Ehsani, S., Fadaee, S., Fazli, M., Mehrabian, A., Sadeghabad, S., Safari, M., Saghafian, M.: On a bounded budget network creation game. ACM Trans. Algorithms 11(4), 34 (2015)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Fabrikant, A., Luthra, A., Maneva, E., Papadimitriou, C.H., Shenker, S.: On a network creation game. In: Proceedings of the 22nd Annual Symposium on Principles of Distributed Computed (PODC), pp. 347–351 (2003)Google Scholar
  8. 8.
    Feldman, M., Immorlica, N., Lucier, B., Roughgarden, T., Syrgkanis, V.: The price of anarchy in large games. In: Proceedings of the 48th ACM Symposium on Theory of Computing (STOC) (2016)Google Scholar
  9. 9.
    Koutsoupias, E., Papadimitriou, C.: Worst-case equilibria. In: Meinel, C., Tison, S. (eds.) STACS 1999. LNCS, vol. 1563, pp. 404–413. Springer, Heidelberg (1999)CrossRefGoogle Scholar
  10. 10.
    Lenzner, P.: On dynamics in basic network creation games. In: Persiano, G. (ed.) SAGT 2011. LNCS, vol. 6982, pp. 254–265. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  11. 11.
    Meirom, E., Mannor, S., Orda, A.: Network formation games with heterogeneous players and the Internet structure. In: Proceedings of the 15th ACM Conference on Economics and Computation (EC), pp. 735–752 (2014)Google Scholar
  12. 12.
    Meirom, E., Mannor, S., Orda, A.: Formation games of reliable networks. In: Proceedings of the 2015 IEEE Conference on Computer Communications (INFOCOM), pp. 1760–1768 (2015)Google Scholar
  13. 13.
    Mamageisvhili, A., Mihalák, M., Müller, D.: Tree Nash equilibria in the network creation game. Internet Math. 11(4–5), 472–486 (2015)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Mihalák, M., Schlegel, J.C.: Asymmetric swap-equilibrium: a unifying equilibrium concept for network creation games. In: Rovan, B., Sassone, V., Widmayer, P. (eds.) MFCS 2012. LNCS, vol. 7464, pp. 693–704. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  15. 15.
    Nikoletseas, S., Panagopoulou, P., Raptopoulos, C., Spirakis, P.G.: On the structure of equilibria in basic network formation. Theor. Comput. Sci. 590, 96–105 (2015)MathSciNetCrossRefMATHGoogle Scholar
  16. 16.
    Panagopoulou, P.N.: Efficient equilibrium concepts in non-cooperative network formation. In: Zaroliagis, C., et al. (eds.) Spirakis Festschrift. LNCS, vol. 9295, pp. 384–395. Springer, Heidelberg (2015). doi: 10.1007/978-3-319-24024-4_22 CrossRefGoogle Scholar
  17. 17.
    Papadimitriou, C.H.: Algorithms, games and the Internet. In: Proceedings of the 33rd Annual ACM Symposium on Theory of Computing (STOC), pp. 749–753 (2001)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Christos Kaklamanis
    • 1
  • Panagiotis Kanellopoulos
    • 1
  • Sophia Tsokana
    • 1
  1. 1.Department of Computer Engineering and Informatics, Computer Technology Institute and Press “Diophantus”University of PatrasRioGreece

Personalised recommendations