256 research outputs found
Quality of Service in Network Creation Games
Network creation games model the creation and usage costs of networks formed
by n selfish nodes. Each node v can buy a set of edges, each for a fixed price
\alpha > 0. Its goal is to minimize its private costs, i.e., the sum (SUM-game,
Fabrikant et al., PODC 2003) or maximum (MAX-game, Demaine et al., PODC 2007)
of distances from to all other nodes plus the prices of the bought edges.
The above papers show the existence of Nash equilibria as well as upper and
lower bounds for the prices of anarchy and stability. In several subsequent
papers, these bounds were improved for a wide range of prices \alpha. In this
paper, we extend these models by incorporating quality-of-service aspects: Each
edge cannot only be bought at a fixed quality (edge length one) for a fixed
price \alpha. Instead, we assume that quality levels (i.e., edge lengths) are
varying in a fixed interval [\beta,B], 0 < \beta <= B. A node now cannot only
choose which edge to buy, but can also choose its quality x, for the price
p(x), for a given price function p. For both games and all price functions, we
show that Nash equilibria exist and that the price of stability is either
constant or depends only on the interval size of available edge lengths. Our
main results are bounds for the price of anarchy. In case of the SUM-game, we
show that they are tight if price functions decrease sufficiently fast.Comment: An extended abstract of this paper has been accepted for publication
in the proceedings of the 10th International Conference on Web and Internet
Economics (WINE
05361 Abstracts Collection -- Algorithmic Aspects of Large and Complex Networks
From 04.09.05 to 09.09.05, the Dagstuhl Seminar 05361 ``Algorithmic Aspects of Large and Complex Networks\u27\u27 was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl.
During the seminar, several participants presented their current
research, and ongoing work and open problems were discussed. Abstracts of
the presentations given during the seminar as well as abstracts of
seminar results and ideas are put together in this paper. The first section
describes the seminar topics and goals in general.
Links to extended abstracts or full papers are provided, if available
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