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    Article

    The Complexity of Computing Minimal Unidirectional Covering Sets

    A common thread in the social sciences is to identify sets of alternatives that satisfy certain notions of stability according to some binary dominance relation. Examples can be found in areas as diverse as vo...

    Dorothea Baumeister, Felix Brandt, Felix Fischer in Theory of Computing Systems (2013)

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    Article

    On the Rate of Convergence of Fictitious Play

    Fictitious play is a simple learning algorithm for strategic games that proceeds in rounds. In each round, the players play a best response to a mixed strategy that is given by the empirical frequencies of act...

    Felix Brandt, Felix Fischer, Paul Harrenstein in Theory of Computing Systems (2013)

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    Article

    The Computational Complexity of Weak Saddles

    We study the computational aspects of weak saddles, an ordinal set-valued solution concept proposed by Shapley. F. Brandt et al. recently gave a polynomial-time algorithm for computing weak saddles in a subcla...

    Felix Brandt, Markus Brill, Felix Fischer, Jan Hoffmann in Theory of Computing Systems (2011)

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    Article

    On the Complexity of Iterated Weak Dominance in Constant-Sum Games

    In game theory, an action is said to be weakly dominated if there exists another action of the same player that, with respect to what the other players do, is never worse and sometimes strictly better. We inve...

    Felix Brandt, Markus Brill, Felix Fischer, Paul Harrenstein in Theory of Computing Systems (2011)

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    Chapter and Conference Paper

    The Complexity of Computing Minimal Unidirectional Covering Sets

    Given a binary dominance relation on a set of alternatives, a common thread in the social sciences is to identify subsets of alternatives that satisfy certain notions of stability. Examples can be found in are...

    Dorothea Baumeister, Felix Brandt, Felix Fischer, Jan Hoffmann in Algorithms and Complexity (2010)

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    Chapter and Conference Paper

    On the Rate of Convergence of Fictitious Play

    Fictitious play is a simple learning algorithm for strategic games that proceeds in rounds. In each round, the players play a best response to a mixed strategy that is given by the empirical frequencies of act...

    Felix Brandt, Felix Fischer, Paul Harrenstein in Algorithmic Game Theory (2010)

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    Chapter and Conference Paper

    Equilibria of Graphical Games with Symmetries

    We study graphical games where the payoff function of each player satisfies one of four types of symmetry in the actions of his neighbors. We establish that deciding the existence of a pure Nash equilibrium is...

    Felix Brandt, Felix Fischer, Markus Holzer in Internet and Network Economics (2008)

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    Chapter and Conference Paper

    Symmetries and the Complexity of Pure Nash Equilibrium

    Strategic games may exhibit symmetries in a variety of ways. A common aspect, enabling the compact representation of games even when the number of players is unbounded, is that players cannot (or need not) dis...

    Felix Brandt, Felix Fischer, Markus Holzer in STACS 2007 (2007)