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Computer Science > Computer Science and Game Theory

Title: Faster Game Solving by Fixpoint Acceleration

Abstract: We propose a method for solving parity games with acyclic (DAG) sub-structures by computing nested fixpoints of a DAG attractor function that lives over the non-DAG parts of the game, thereby restricting the domain of the involved fixpoint operators. Intuitively, this corresponds to accelerating fixpoint computation by inlining cycle-free parts during the solution of parity games, leading to earlier convergence. We also present an economic later-appearence-record construction that takes Emerson-Lei games to parity games, and show that it preserves DAG sub-structures; it follows that the proposed method can be used also for the accelerated solution of Emerson-Lei games.
Subjects: Computer Science and Game Theory (cs.GT); Logic in Computer Science (cs.LO)
Cite as: arXiv:2404.13687 [cs.GT]
  (or arXiv:2404.13687v1 [cs.GT] for this version)

Submission history

From: Daniel Hausmann [view email]
[v1] Sun, 21 Apr 2024 15:16:49 GMT (82kb)

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