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    Chapter and Conference Paper

    On Popular Random Assignments

    One of the most fundamental and ubiquitous problems in microeconomics and operations research is how to assign objects to agents based on their individual preferences. An assignment is called popular if there ...

    Haris Aziz, Felix Brandt, Paul Stursberg in Algorithmic Game Theory (2013)

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    Chapter and Conference Paper

    The Computational Complexity of Random Serial Dictatorship

    In social choice settings with linear preferences, random dictatorship is known to be the only social decision scheme satisfying strategyproofness and ex post efficiency. When also allowing indifferences, random ...

    Haris Aziz, Felix Brandt, Markus Brill in Web and Internet Economics (2013)

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    Chapter and Conference Paper

    Pareto Optimality in Coalition Formation

    A minimal requirement on allocative efficiency in the social sciences is Pareto optimality. In this paper, we identify a far-reaching structural connection between Pareto optimal and perfect partitions that ha...

    Haris Aziz, Felix Brandt, Paul Harrenstein in Algorithmic Game Theory (2011)

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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

    The Computational Complexity of Weak Saddles

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

    Felix Brandt, Markus Brill, Felix Fischer, Jan Hoffmann in Algorithmic Game Theory (2009)

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    Chapter and Conference Paper

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

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

    Felix Brandt, Markus Brill, Felix Fischer, Paul Harrenstein in Algorithmic Game Theory (2009)

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    Chapter and Conference Paper

    On the Hardness and Existence of Quasi-Strict Equilibria

    This paper investigates the computational properties of quasi-strict equilibrium, an attractive equilibrium refinement proposed by Harsanyi, which was recently shown to always exist in bimatrix games. We prove...

    Felix Brandt, Felix Fischer in Algorithmic Game Theory (2008)

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    Chapter and Conference Paper

    PageRank as a Weak Tournament Solution

    We observe that ranking systems—a theoretical framework for web page ranking and collaborative filtering introduced by Altman and Tennenholtz—and tournament solutions—a well-studied area of social choice theor...

    Felix Brandt, Felix Fischer in Internet and Network Economics (2007)