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» The Complexity of Partial-Observation Parity Games
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CORR
2007
Springer
135views Education» more  CORR 2007»
13 years 7 months ago
Settling the Complexity of Computing Two-Player Nash Equilibria
We prove that Bimatrix, the problem of finding a Nash equilibrium in a two-player game, is complete for the complexity class PPAD (Polynomial Parity Argument, Directed version)
Xi Chen, Xiaotie Deng, Shang-Hua Teng
CSL
2007
Springer
14 years 1 months ago
Clique-Width and Parity Games
The question of the exact complexity of solving parity games is one of the major open problems in system verification, as it is equivalent to the problem of model-checking the mod...
Jan Obdrzálek
CAV
2007
Springer
157views Hardware» more  CAV 2007»
14 years 1 months ago
An Accelerated Algorithm for 3-Color Parity Games with an Application to Timed Games
Three-color parity games capture the disjunction of a B¨uchi and a co-B¨uchi condition. The most efficient known algorithm for these games is the progress measures algorithm by ...
Luca de Alfaro, Marco Faella
CORR
2007
Springer
151views Education» more  CORR 2007»
13 years 7 months ago
The Complexity of Games on Higher Order Pushdown Automata
Abstract. We prove an n-exptime lower bound for the problem of deciding the winner in a reachability game on Higher Order Pushdown Automata (HPDA) of level n. This bound matches th...
Thierry Cachat, Igor Walukiewicz
FSTTCS
2007
Springer
14 years 1 months ago
Solving Parity Games in Big Steps
Abstract. This paper proposes a new algorithm that improves the complexity bound for solving parity games. Our approach combines McNaughton’s iterated fixed point algorithm with...
Sven Schewe