Using Strategy Improvement to Stay Alive

Details Using Strategy Improvement to Stay Alive Using Strategy Improvement to Stay Alive

2010-06-08

arxiv.org/abs/1006.1405v1

EPTCS 25, 2010, pp. 40-54

Computer Science

Computer Science and Game Theory

Scientific paper

10.4204/EPTCS.25.8

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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