Titlebook: Algorithmic Game Theory; 5th International Sy Maria Serna Conference proceedings 2012 Springer-Verlag Berlin Heidelberg 2012 adwords.econom

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Convergence of Ordered Improvement Paths in Generalized Congestion Games,nsider improvement paths. As shown by Milchtaich [2] such paths may be infinite. We consider paths in which the players deviate in a specific order, and prove that ordered best response improvement paths are finite, while ordered better response improvement paths may still be infinite.

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Approximate Well-Supported Nash Equilibria Below Two-Thirds,tegy that is used with non-zero probability by a player must have payoff at most . less than a best response. A recent algorithm of Kontogiannis and Spirakis shows how to compute a 2/3-WSNE in polynomial time, for bimatrix games. Here we introduce a new technique that leads to an improvement to the worst-case approximation guarantee.

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https://doi.org/10.1007/978-3-662-26462-1on out of the core to an imputation in the core is at most .???1, where . is the number of players. This bound exploits the geometry of the core and is optimal. It considerably improves the upper bounds found so far by Kóczy [7], Yang [13, 14] and a previous result by ourselves [2] in which the boun

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