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Abstract
We introduce Colored Resource Allocation Games as a new model for selfish routing and wavelength assignment in multifiber all-optical networks. Colored Resource Allocation Games are a generalization of congestion and bottleneck games where players have their strategies in multiple copies (colors). We focus on two main subclasses of these games depending on the player cost: in Colored Congestion Games the player cost is the sum of latencies of the resources allocated to the player, while in Colored Bottleneck Games the player cost is the maximum of these latencies. We investigate the pure price of anarchy for three different social cost functions and prove tight bounds for each separate case. We first consider a social cost function which is particularly meaningful in the setting of multifiber all-optical networks, where it captures the objective of fiber cost minimization. Additionally, we consider the two usual social cost functions (maximum and average player cost) and obtain improved bounds that could not have been derived using earlier results for the standard models for congestion and bottleneck games.
This research has been co-financed by the European Union (European Social Fund–ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) — Research Funding Program: THALIS Investing in knowledge society through the European Social Fund.
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Authors and Affiliations
School of Elec. & Comp. Engineering, National Technical University of Athens, Greece
Evangelos Bampas & Aris Pagourtzis
School of Electrical Engineering & Computer Sciences, UC Berkeley, USA
George Pierrakos
Computer Science Dept., Cornell University, USA
Vasilis Syrgkanis
- Evangelos Bampas
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- Aris Pagourtzis
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- George Pierrakos
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- Vasilis Syrgkanis
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Editors and Affiliations
School of Engineering, Department of Computer Engineering and Informatics, University of Patras, 265 00, Patras, Greece
Paul G. Spirakis
LSI Department, Edif Omega, Universitat Politècnica de Catalunya, Campus Nord, Jordi Girona 1-3, 08034, Barcelona, Spain
Maria Serna
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Bampas, E., Pagourtzis, A., Pierrakos, G., Syrgkanis, V. (2013). Selfish Resource Allocation in Optical Networks. In: Spirakis, P.G., Serna, M. (eds) Algorithms and Complexity. CIAC 2013. Lecture Notes in Computer Science, vol 7878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38233-8_3
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