Using Strategy Improvement to Stay Alive

Luboš Brim
(Masaryk University)
Jakub Chaloupka
(Masaryk University)

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.

In Angelo Montanari, Margherita Napoli and Mimmo Parente: Proceedings First Symposium on Games, Automata, Logic, and Formal Verification (GANDALF 2010), Minori (Amalfi Coast), Italy, 17-18th June 2010, Electronic Proceedings in Theoretical Computer Science 25, pp. 40–54.
Published: 9th June 2010.

ArXived at: bibtex PDF

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