Using Strategy Improvement to Stay Alive

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Authors

BRIM Luboš CHALOUPKA Jakub

Year of publication 2010
Type Article in Proceedings
Conference Games, Automata, Logics and Formal Verification (GandALF) 2010
MU Faculty or unit

Faculty of Informatics

Citation
Web http://arxiv.org/abs/1006.1405
Field Informatics
Keywords mean-payoff games; strategy improvement; experimental evaluation
Description We design a novel algorithm for solving Mean-Payoff Games (MPGs). Besides solving an MPG in the usual sense, our algorithm computes more information about the game, information that is important with respect to applications. The weights of the edges of an MPG can be thought of as a gained/consumed energy -- depending on the sign. For each vertex, our algorithm computes the minimum amount of initial energy that is sufficient for player Max to ensure that in a play starting from the vertex, the energy level never goes below zero. Our algorithm is not the first algorithm that computes the minimum sufficient initial energies, but according to our experimental study it is the fastest algorithm that computes them. The reason is that it utilizes the strategy improvement technique which is very efficient in practice.
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