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.
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Koutsoupias, E., Papadimitriou, C.: Worst-case equilibria. In: Proceedings of STACS (1999)
Kameda, H., Altman, E., Kozawa, T., Hosokawa, Y.: Braess-like paradoxes in distributed computer systems. IEEE Trans. Autom. Control 45(9), 1687–1690 (2000)
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)
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)
Altman, E., El-Azouzi, R., Abramov, V.: Non-cooperative routing in loss networks. Perform. Eval. 49(1–4), 43–55 (2002)
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)
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
El-Azouzi, R., Altman, E.: Constrained traffic equilibrium in routing. IEEE Trans. Autom. Control 48(9), 1656–1660 (2003)
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© 2017 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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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
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DOI: https://doi.org/10.1007/978-3-319-67540-4_15
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