Abstract
Robustness is one of the key properties of nowadays networks. However, robustness cannot be simply enforced by design or regulation since many important networks, most prominently the Internet, are not created and controlled by a central authority. Instead, Internet-like networks emerge from strategic decisions of many selfish agents. Interestingly, although lacking a coordinating authority, such naturally grown networks are surprisingly robust while at the same time having desirable properties like a small diameter. To investigate this phenomenon we present the first simple model for selfish network creation which explicitly incorporates agents striving for a central position in the network while at the same time protecting themselves against random edge-failure. We show that networks in our model are diverse and we prove the versatility of our model by adapting various properties and techniques from the non-robust versions which we then use for establishing bounds on the Price of Anarchy. Moreover, we analyze the computational hardness of finding best possible strategies and investigate the game dynamics of our model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Albers, S., Eilts, S., Even-Dar, E., Mansour, Y., Roditty, L.: On nash equilibria for a network creation game. ACM TEAC 2(1), 2 (2014)
Alon, N., Demaine, E.D., Hajiaghayi, M.T., Leighton, T.: Basic network creation games. SIAM J. Discrete Math. 27(2), 656–668 (2013)
Anshelevich, E., Bhardwaj, O., Usher, M.: Friend of my friend: Network formation with two-hop benefit. Theor. Comput. Syst. 57(3), 711–752 (2015)
Bala, V., Goyal, S.: A noncooperative model of network formation. Econometrica 68(5), 1181–1229 (2000)
Bilò, D., Gualà, L., Proietti, G.: Bounded-distance network creation games. ACM Trans. Econ. Comput. 3(3), 16 (2015)
Chauhan, A., Lenzner, P., Melnichenko, A., Münn, M.: On selfish creation of robust networks. arXiv preprint (2016). arXiv:1607.02071
Corbo, J., Parkes, D.: The price of selfish behavior in bilateral network formation. In: Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing, PODC 2005, pp. 99–107. ACM, New York, NY, USA (2005)
Demaine, E.D., Hajiaghayi, M.T., Mahini, H., Zadimoghaddam, M.: The price of anarchy in network creation games. ACM Trans. Algorithms 8(2), 13 (2012)
Ehsani, S., Fadaee, S.S., Fazli, M., Mehrabian, A., Sadeghabad, S.S., Safari, M.A., Saghafian, M.: A bounded budget network creation game. ACM Trans. Algorithms 11(4), 34 (2015)
Fabrikant, A., Luthra, A., Maneva, E., Papadimitriou, C.H., Shenker, S.: On a network creation game. In: PODC 2003, pp. 347–351. ACM, New York, USA (2003)
Flammini, M., Gallotti, V., Melideo, G., Monaco, G., Moscardelli, L.: Mobile network creation games. In: Even, G., Halldórsson, M.M. (eds.) SIROCCO 2012. LNCS, vol. 7355, pp. 159–170. Springer, Heidelberg (2012)
Goyal, S., Jabbari, S., Kearns, M., Khanna, S., Morgenstern, J.: Strategic network formation with attack and immunization. arXiv preprint 2015. arXiv:1511.05196
Jackson, M.O., Wolinsky, A.: A strategic model of social and economic networks. J. Econ. Theor. 71(1), 44–74 (1996)
Kawald, B., Lenzner, P.: On dynamics in selfish network creation. In: SPAA 2013, pp. 83–92. ACM, New York, NY, USA (2013)
Kliemann, L.: The price of anarchy for network formation in an adversary model. Games 2(3), 302–332 (2011)
Kliemann, L.: The price of anarchy in bilateral network formation in an adversary model. arXiv preprint (2013). arXiv:1308.1832
Lenzner, P.: Greedy selfish network creation. In: Goldberg, P.W. (ed.) WINE 2012. LNCS, vol. 7695, pp. 142–155. Springer, Heidelberg (2012)
Meirom, E.A., 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, pp. 735–752. ACM (2014)
Meirom, E.A., Mannor, S., Orda, A.: Formation games of reliable networks. In: INFOCOM 2015, pp. 1760–1768. IEEE (2015)
Mihalák, M., Schlegel, J.C.: The price of anarchy in network creation games Is (Mostly) constant. In: Kontogiannis, S., Koutsoupias, E., Spirakis, P.G. (eds.) SAGT 2010. LNCS, vol. 6386, pp. 276–287. Springer, Heidelberg (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chauhan, A., Lenzner, P., Melnichenko, A., Münn, M. (2016). On Selfish Creation of Robust Networks. In: Gairing, M., Savani, R. (eds) Algorithmic Game Theory. SAGT 2016. Lecture Notes in Computer Science(), vol 9928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53354-3_12
Download citation
DOI: https://doi.org/10.1007/978-3-662-53354-3_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-53353-6
Online ISBN: 978-3-662-53354-3
eBook Packages: Computer ScienceComputer Science (R0)