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O-Minimal Hybrid Reachability Games

Patricia Bouyer ; Thomas Brihaye ; Fabrice Chevalier.

In this paper, we consider reachability games over general hybrid systems, and distinguish between two possible observation frameworks for those games: either the precise dynamics of the system is seen by the players (this is the perfect observation framework), or only the starting point and the&nbsp;[&hellip;]

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Arena-Independent Finite-Memory Determinacy in Stochastic Games

Patricia Bouyer ; Youssouf Oualhadj ; Mickael Randour ; Pierre Vandenhove.

We study stochastic zero-sum games on graphs, which are prevalent tools to model decision-making in presence of an antagonistic opponent in a random environment. In this setting, an important question is the one of strategy complexity: what kinds of strategies are sufficient or required to play&nbsp;[&hellip;]

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Half-Positional Objectives Recognized by Deterministic B\"uchi Automata

Patricia Bouyer ; Antonio Casares ; Mickael Randour ; Pierre Vandenhove.

In two-player games on graphs, the simplest possible strategies are those that can be implemented without any memory. These are called positional strategies. In this paper, we characterize objectives recognizable by deterministic B\"uchi automata (a subclass of omega-regular objectives) that are&nbsp;[&hellip;]

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