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» Algorithms for Parity Games
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150
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LICS
2009
IEEE
15 years 10 months ago
An Exponential Lower Bound for the Parity Game Strategy Improvement Algorithm as We Know it
This paper presents a new lower bound for the discrete strategy improvement algorithm for solving parity games due to V¨oge and Jurdzi´nski. First, we informally show which stru...
Oliver Friedmann
126
Voted
FOCS
2004
IEEE
15 years 7 months ago
Exponentially Many Steps for Finding a Nash Equilibrium in a Bimatrix Game
The Lemke
Rahul Savani, Bernhard von Stengel
120
Voted
SODA
2004
ACM
94views Algorithms» more  SODA 2004»
15 years 5 months ago
Quantitative stochastic parity games
We study perfect-information stochastic parity games. These are two-player nonterminating games which are played on a graph with turn-based probabilistic transitions. A play resul...
Krishnendu Chatterjee, Marcin Jurdzinski, Thomas A...
122
Voted
CORR
2008
Springer
101views Education» more  CORR 2008»
15 years 3 months ago
Strategy Iteration using Non-Deterministic Strategies for Solving Parity Games
Abstract. This article extends the idea of solving parity games by strategy iteration to non-deterministic strategies: In a non-deterministic strategy a player restricts himself to...
Michael Luttenberger
134
Voted
SIAMCOMP
2008
133views more  SIAMCOMP 2008»
15 years 3 months ago
A Deterministic Subexponential Algorithm for Solving Parity Games
The existence of polynomial time algorithms for the solution of parity games is a major open problem. The fastest known algorithms for the problem are randomized algorithms that r...
Marcin Jurdzinski, Mike Paterson, Uri Zwick