Download Algorithmic Game Theory: First International Symposium, SAGT by Christos H. Papadimitriou (auth.), Burkhard Monien, PDF

By Christos H. Papadimitriou (auth.), Burkhard Monien, Ulf-Peter Schroeder (eds.)

This booklet constitutes the refereed court cases of the 1st foreign Symposium on Algorithmic online game conception, SAGT 2008, held in Paderborn, Germany, in April/May 2008.

The 28 revised complete papes awarded including three invited lectures have been rigorously reviewed and chosen from 60 submissions. The papers are geared up in topical sections on routing and scheduling, markets, mechanism layout, potpourri of video games, answer techniques, and price sharing.

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Extra info for Algorithmic Game Theory: First International Symposium, SAGT 2008, Paderborn, Germany, April 30-May 2, 2008. Proceedings

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Ck into the optimum profile c∗1 , . . , c∗k without decreasing the cost. This yields cost(s∗ ) ≥ c2i i mi and the proof is complete. For the proof of Theorem 2 we assemble the lower bound for s∗ and a simple upper bound for any Nash equilibrium s. Then with a similar Azuma-Hoeffding argument as in the proof of Theorem 1 the result follows. 1 Average-Case Analysis of an Optimization Algorithm In this short section, we point out that Theorem 2 also has an algorithmic perspective. g. the standard scheduling variant of the game) as a byproduct.

In addition, every s−t path having an edge in common with p\p does not intersect p \p at any vertex other than its endpoints. The following proposition gives another interesting property of networks with linearly independent paths (and thus of extension-parallel networks). Proposition 1. Let Γ be a symmetric congestion game on a s − t network G with linearly independent paths, let f be any configuration of Γ , and let π be any (simple) path with fπmin > 0. Then there exists a player i whose strategy in f includes π.

22–32, 2008. c Springer-Verlag Berlin Heidelberg 2008 The Influence of Link Restrictions on (Random) Selfish Routing 23 defection into account. In their seminal work [13], Koutsoupias and Papadimitriou initiated this research direction by introducing the KP-model for selfish routing. Each of n players seeks to send a message with respective length tj across a network consisting of m parallel capacitated links. The cost of a player j, called his latency j , is the total length of messages on his chosen link i, scaled with the respective capacity.

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