论文标题

定时游戏的一个赌注是pspace-hard

One-Clock Priced Timed Games are PSPACE-hard

论文作者

Fearnley, John, Ibsen-Jensen, Rasmus, Savani, Rahul

论文摘要

本文的主要结果是,计算一个单盘定价的时机(OCPTG)的值是PSPACE-HARD。在此过程中,我们提供了一个具有指数级事件点的OCPTG家族。即使在具有Tree Wwidth Tirth的DAG等非常有限类的游戏中,这两个结果也会成立。最后,我们提供了许多积极的结果,包括更多限制性OCPTG(例如树)的多项式时间算法。

The main result of this paper is that computing the value of a one-clock priced timed game (OCPTG) is PSPACE-hard. Along the way, we provide a family of OCPTGs that have an exponential number of event points. Both results hold even in very restricted classes of games such as DAGs with treewidth three. Finally, we provide a number of positive results, including polynomial-time algorithms for even more restricted classes of OCPTGs such as trees.

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