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Electronic Colloquium on Computational Complexity

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All reports by Author Markus Holzer:

TR08-077 | 23rd May 2008
Felix Brandt, Felix Fischer, Markus Holzer

On Iterated Dominance, Matrix Elimination, and Matched Paths

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 >>>

TR07-136 | 28th November 2007
Felix Brandt, Felix Fischer, Markus Holzer

Equilibria of Graphical Games with Symmetries

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 >>>

TR06-091 | 29th May 2006
Felix Brandt, Felix Fischer, Markus Holzer

Symmetries and the Complexity of Pure Nash Equilibrium

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 >>>

TR06-027 | 22nd February 2006
Hermann Gruber, Markus Holzer

Finding Lower Bounds for Nondeterministic State Complexity is Hard

We investigate the following lower bound methods for regular
languages: The fooling set technique, the extended fooling set
technique, and the biclique edge cover technique. It is shown that
the maximal attainable lower bound for each of the above mentioned
techniques can be algorithmically deduced from ... more >>>

TR00-036 | 29th May 2000
Carsten Damm, Markus Holzer, Pierre McKenzie

The Complexity of Tensor Calculus

Tensor calculus over semirings is shown relevant to complexity
theory in unexpected ways. First, evaluating well-formed tensor
formulas with explicit tensor entries is shown complete for $\olpus\P$,
for $\NP$, and for $\#\P$ as the semiring varies. Indeed the
permanent of a matrix is shown expressible as ... more >>>

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