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Expected reachability-time games

Abstract:
Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the expected time to reach a target. The two players—called player Min and player Max—compete by proposing timed moves simultaneously and the move with a shorter delay is performed. The first player attempts to minimise the given objective while the second tries to maximise the objective. We observe that these games are not determined, and study decision problems related to computing the upper and lower values, showing that the problems are decidable and lie in the complexity class NEXPTIME ∩ co-NEXPTIME
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.tcs.2016.04.021

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


Publisher:
Elsevier
Journal:
Theoretical Computer Science More from this journal
Volume:
631
Pages:
139–160
Publication date:
2016-01-01
Acceptance date:
2016-04-15
DOI:
ISSN:
0304-3975


Keywords:
Pubs id:
pubs:615402
UUID:
uuid:0c887132-2027-4d95-ad0c-2a29acf5c9ab
Local pid:
pubs:615402
Source identifiers:
615402
Deposit date:
2016-04-15
ARK identifier:

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