Abstract
We consider a special case of weighted congestion games with player-specific latency functions where each player uses for each particular resource a fixed (non-decreasing) delay function together with a player-specific constant. For each particular resource, the resource-specific delay function and the player-specific constant (for that resource) are composed by means of a group operation (such as addition or multiplication) into a player-specific latency function. We assume that the underlying group is a totally ordered abelian group. In this way, we obtain the class of weighted congestion games with player-specific constants; we observe that this class is contained in the new intuitive class of dominance weighted congestion games.
This work was partially supported by the IST Program of the European Union under contract number IST-15964 (AEOLUS).
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Mavronicolas, M., Milchtaich, I., Monien, B., Tiemann, K. (2007). Congestion Games with Player-Specific Constants. In: Kučera, L., Kučera, A. (eds) Mathematical Foundations of Computer Science 2007. MFCS 2007. Lecture Notes in Computer Science, vol 4708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74456-6_56
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DOI: https://doi.org/10.1007/978-3-540-74456-6_56
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