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Titlebook: Algorithmic Game Theory; Third International Spyros Kontogiannis,Elias Koutsoupias,Paul G. Spir Conference proceedings 2010 Springer-Verla

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How Do You Like Your Equilibrium Selection Problems? Hard, or Very Hard?,cent progress showing that the equilibria that are found by the Lemke-Howson algorithm, as well as related homotopy methods, are PSPACE-complete to compute. Thus we show that there are no short cuts to the Lemke-Howson solutions, subject only to the hardness of PSPACE. I mention some open problems.
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Nash Equilibria in Fisher Market,-buyer market game. Surprisingly, all the NE of this game turn out to be symmetric and the corresponding payoffs constitute a piecewise linear concave curve. We also study the correlated equilibria of this game and show that third-party mediation does not help to achieve a better payoff than NE payoffs.
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On the Existence of Optimal Taxes for Network Congestion Games with Heterogeneous Users,f homogeneous and heterogeneous users differ sharply as far as the existence of strongly-optimal taxes is concerned: there are parallel-link games with linear latencies and heterogeneous users that do not admit strongly-optimal taxes.
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How Do You Like Your Equilibrium Selection Problems? Hard, or Very Hard?,s necessarily rather weak, in the sense that PPAD is only know to lie “between P and NP”, and there is not a strong prospect of showing it to be as hard as NP. Of course, the problem of finding an equilibrium that has certain sought-after properties should be at least as hard as finding an unrestric
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