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Titlebook: Algorithmic Game Theory; First International Burkhard Monien,Ulf-Peter Schroeder Conference proceedings 2008 Springer-Verlag Berlin Heidel

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https://doi.org/10.1007/978-3-322-98833-1e in the demand can be unbounded, the path latency at equilibrium increases at most by a factor of (1 + .).. The increase of the . is shown to be upper bounded by the same factor. Both bounds are shown to be tight..Let us remark that all our bounds are tight. For the multi-commodity case, we present
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https://doi.org/10.1007/978-3-662-26465-2can be implemented in a non-truthful manner, or even if it can be implemented at all. This is in contrast to the fact that truthful implementability can be recognized efficiently, even when partial verification of the agents is allowed. Our results also show that there is no “simple” characterizatio
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The Influence of Link Restrictions on (Random) Selfish Routingocial cost functions. For total latency cost, we show the tight result that the price of anarchy is essentially .. Hence, even for congested networks, when the traffic is linear in the number of players, Nash equilibria approximate the social optimum only by a factor of .. This efficiency loss is ca
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The Price of Anarchy on Uniformly Related Machines Revisited dependence between the number of speeds and the .. For a set of machines of at most . speeds, the . turns out to be exactly . + 1. The growth of the . for large numbers of related machines is therefore a direct result of the large number of potential speeds. We further consider a well known structu
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Approximate Strong Equilibrium in Job Scheduling Gamess. (iii) .: the maximum possible damage ratio of an agent outside the coalition..This framework can be used to study the proximity between different solution concepts, as well as to study the existence of approximate SE in settings that do not possess any such equilibrium. We analyze these measureme
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Sensitivity of Wardrop Equilibriae in the demand can be unbounded, the path latency at equilibrium increases at most by a factor of (1 + .).. The increase of the . is shown to be upper bounded by the same factor. Both bounds are shown to be tight..Let us remark that all our bounds are tight. For the multi-commodity case, we present
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