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Preprint Sep 2026

Values of Absorbing Recursive Games Express All Real Algebraic Numbers

Many classes of two-player zero-sum stochastic games have the orderfield property: if all payoffs and transition probabilities lie in a subfield of $\mathbb{R}$, so does the undiscounted value. Absorbing games fail this property, and Oliu-Barton and Vigeral [Absorbing games with irrational values, Oper. Res. Lett. 51 (...

Ali Asadi, Krishnendu Chatterjee · 0 citations
Preprint Aug 2026

Quantitative Analysis of $\omega$-Regular Robust MDPs

Robust Markov Decision Processes (RMDPs) generalize classical MDPs by allowing uncertainty in transition probabilities and optimizing against their worst-case realization. We consider $(s,a)$-rectangular RMDPs with \emph{linearly defined} uncertainty sets and study parity objectives, which are a canonical representatio...

Ali Asadi, Krishnendu Chatterjee, E. Goharshady et al. · 0 citations

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