Multilevel Network Games

S. Abshoff, A. Cord-Landwehr, D. Jung, A. Skopalik, in: Proceedings of the 10th International Conference on Web and Internet Economics (WINE), 2014, pp. 435–440.

Download
Restricted 395-WINE2014ACJS.pdf 161.48 KB
Conference Paper | English
Author
; ; ;
Abstract
We consider a multilevel network game, where nodes can improvetheir communication costs by connecting to a high-speed network.The n nodes are connected by a static network and each node can decideindividually to become a gateway to the high-speed network. The goalof a node v is to minimize its private costs, i.e., the sum (SUM-game) ormaximum (MAX-game) of communication distances from v to all othernodes plus a fixed price α > 0 if it decides to be a gateway. Between gatewaysthe communication distance is 0, and gateways also improve othernodes’ distances by behaving as shortcuts. For the SUM-game, we showthat for α ≤ n − 1, the price of anarchy is Θ (n/√α) and in this rangeequilibria always exist. In range α ∈ (n−1, n(n−1)) the price of anarchyis Θ(√α), and for α ≥ n(n − 1) it is constant. For the MAX-game, weshow that the price of anarchy is either Θ (1 + n/√α), for α ≥ 1, orelse 1. Given a graph with girth of at least 4α, equilibria always exist.Concerning the dynamics, both games are not potential games. For theSUM-game, we even show that it is not weakly acyclic.
Publishing Year
Proceedings Title
Proceedings of the 10th International Conference on Web and Internet Economics (WINE)
Page
435-440
LibreCat-ID

Cite this

Abshoff S, Cord-Landwehr A, Jung D, Skopalik A. Multilevel Network Games. In: Proceedings of the 10th International Conference on Web and Internet Economics (WINE). LNCS. ; 2014:435-440. doi:10.1007/978-3-319-13129-0_36
Abshoff, S., Cord-Landwehr, A., Jung, D., & Skopalik, A. (2014). Multilevel Network Games. In Proceedings of the 10th International Conference on Web and Internet Economics (WINE) (pp. 435–440). https://doi.org/10.1007/978-3-319-13129-0_36
@inproceedings{Abshoff_Cord-Landwehr_Jung_Skopalik_2014, series={LNCS}, title={Multilevel Network Games}, DOI={10.1007/978-3-319-13129-0_36}, booktitle={Proceedings of the 10th International Conference on Web and Internet Economics (WINE)}, author={Abshoff, Sebastian and Cord-Landwehr, Andreas and Jung, Daniel and Skopalik, Alexander}, year={2014}, pages={435–440}, collection={LNCS} }
Abshoff, Sebastian, Andreas Cord-Landwehr, Daniel Jung, and Alexander Skopalik. “Multilevel Network Games.” In Proceedings of the 10th International Conference on Web and Internet Economics (WINE), 435–40. LNCS, 2014. https://doi.org/10.1007/978-3-319-13129-0_36.
S. Abshoff, A. Cord-Landwehr, D. Jung, and A. Skopalik, “Multilevel Network Games,” in Proceedings of the 10th International Conference on Web and Internet Economics (WINE), 2014, pp. 435–440.
Abshoff, Sebastian, et al. “Multilevel Network Games.” Proceedings of the 10th International Conference on Web and Internet Economics (WINE), 2014, pp. 435–40, doi:10.1007/978-3-319-13129-0_36.
Main File(s)
File Name
395-WINE2014ACJS.pdf 161.48 KB
Access Level
Restricted Closed Access
Last Uploaded
2018-03-20T06:59:20Z


Export

Marked Publications

Open Data LibreCat

Search this title in

Google Scholar