# Finite-state Strategies in Delay Games

@article{Winter2017FinitestateSI,
title={Finite-state Strategies in Delay Games},
author={Sarah Winter and Martin Zimmermann},
journal={ArXiv},
year={2017},
volume={abs/1704.08887}
}
• Published 7 September 2017
• Computer Science
• ArXiv
What is a finite-state strategy in a delay game? We answer this surprisingly non-trivial question and present a very general framework for computing such strategies: they exist for all winning conditions that are recognized by automata with acceptance conditions that satisfy a certain aggregation property. Our framework also yields upper bounds on the complexity of determining the winner of such delay games and upper bounds on the necessary lookahead to win the game. In particular, we cover all…

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