# An Improved Upper Bound on Time Complexity of Value Problem and Optimal Strategy Synthesis in MPGs.

We prove the existence of a pseudo-polynomial $O(|V|^2 |E|\, W)$ time algorithm for the Value Problem and Optimal Strategy Synthesis in Mean Payoff Games. This improves by a factor $log(|V|\, W)$ the best previously known pseudo-polynomial upper bound due to Brim et al. (2011). The improvement hinges on a suitable characterization of values and optimal strategies in terms of reweightings.