All reports by Author Felix Brandt:

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TR08-077
| 23rd May 2008
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Felix Brandt, Felix Fischer, Markus Holzer#### On Iterated Dominance, Matrix Elimination, and Matched Paths

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TR07-136
| 28th November 2007
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Felix Brandt, Felix Fischer, Markus Holzer#### Equilibria of Graphical Games with Symmetries

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TR06-091
| 29th May 2006
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Felix Brandt, Felix Fischer, Markus Holzer#### Symmetries and the Complexity of Pure Nash Equilibrium

Felix Brandt, Felix Fischer, Markus Holzer

We study computational problems that arise in the context of iterated dominance in anonymous games, and show that deciding whether a game can be solved by means of iterated weak dominance is NP-hard for anonymous games with three actions. For the case of two actions, this problem can be reformulated ... more >>>

Felix Brandt, Felix Fischer, Markus Holzer

We study graphical games where the payoff function of each player satisfies one of four types of symmetries in the actions of his neighbors. We establish that deciding the existence of a pure Nash equilibrium is NP-hard in graphical games with each of the four types of symmetry. Using a ... more >>>

Felix Brandt, Felix Fischer, Markus Holzer

Strategic games may exhibit symmetries in a variety of ways. A common aspect of symmetry, enabling the compact representation of games even when the number of players is unbounded, is that players cannot (or need not) distinguish between the other players. We define four classes of symmetric games by considering ... more >>>