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• A nested family of k-total effective rewards for positional games ﻿

[OWP-2015-21] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
We consider Gillette's two-person zero-sum stochastic games with perfect information. For each $k \in \mathbb{Z}_+$ we introduce an effective reward function, called $k$-total. For $k = 0$ and $1$ this function is known ...
• A potential reduction algorithm for two-person zero-sum mean payoff stochastic games ﻿

[OWP-2015-19] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
We suggest a new algorithm for two-person zero-sum undiscounted stochastic games focusing on stationary strategies. Given a positive real $\epsilon$, let us call a stochastic game $\epsilon$-ergodic, if its values from any ...