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Games on Graphs: From Logic and Automata to Algorithms

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arxiv 2305.10546 v2 pith:3T3XASN2 submitted 2023-05-17 cs.GT cs.FLcs.LO

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The objective of this book is to give a comprehensive presentation of the research field concerned with infinite duration games on graphs. Historically, these game models appeared in the study of automata and logic, and they later became important for program verification and synthesis. They have many more applications, in particular some of the models investigated in this book were introduced and studied in neighbouring research communities such as optimisation, reinforcement learning, model theory, and set theory.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Multi-Player Discrete-Bidding Games; Determinacy, Equilibria, and Complexity

    cs.GT 2026-07 accept novelty 7.0 of 10

    Under linear tie-breaking, multi-player discrete-bidding games are determined, admit pure Nash equilibria and mean-payoff values, and deciding the winner is already PSPACE-hard for unary reachability.

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  3. Emerson-Lei and Manna-Pnueli Games for LTLf+ and PPLTL+ Synthesis

    cs.LO 2025-08 conditional novelty 7.0 of 10

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  4. Simple Nash Equilibria for Qualitative Multiplayer Games

    cs.GT 2026-07 conditional novelty 6.0 of 10

    Memoryless randomised subgame-perfect equilibria always exist for turn-based deterministic games with reachability, safety, and 0-2 Muller objectives, and can be constructed in polynomial time.

  5. Simplicity Lies in the Eye of the Beholder: A Strategic Perspective on Controllers in Reactive Synthesis

    cs.LO 2025-09 accept novelty 3.0 of 10

    A survey of memory and randomness complexity for strategies in reactive synthesis, arguing that Mealy-machine-based measures of simplicity are representation-dependent.

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