One-Clock Priced Timed Games are PSPACE-hard

被引:1
|
作者
Fearnley, John [1 ]
Ibsen-Jensen, Rasmus [1 ]
Savani, Rahul [1 ]
机构
[1] Univ Liverpool, Dept Comp Sci, Liverpool, Merseyside, England
关键词
Priced timed games; computational complexity; game theory; OPTIMAL REACHABILITY; OPTIMAL STRATEGIES; MODEL-CHECKING; AUTOMATA;
D O I
10.1145/3373718.3394772
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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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页码:397 / 409
页数:13
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