Strategy complexity of concurrent safety games

K. Chatterjee, K. Hansen, R. Ibsen-Jensen, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.

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Conference Paper | Published | English
Department
Series Title
LIPIcs
Abstract
We consider two player, zero-sum, finite-state concurrent reachability games, played for an infinite number of rounds, where in every round, each player simultaneously and independently of the other players chooses an action, whereafter the successor state is determined by a probability distribution given by the current state and the chosen actions. Player 1 wins iff a designated goal state is eventually visited. We are interested in the complexity of stationary strategies measured by their patience, which is defined as the inverse of the smallest non-zero probability employed. Our main results are as follows: We show that: (i) the optimal bound on the patience of optimal and -optimal strategies, for both players is doubly exponential; and (ii) even in games with a single non-absorbing state exponential (in the number of actions) patience is necessary.
Publishing Year
Date Published
2017-11-01
Proceedings Title
Leibniz International Proceedings in Informatics
Volume
83
Article Number
55
Conference
MFCS: Mathematical Foundations of Computer Science (SG)
Conference Location
Aalborg, Denmark
Conference Date
2017-08-21 – 2017-08-25
IST-REx-ID

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Chatterjee K, Hansen K, Ibsen-Jensen R. Strategy complexity of concurrent safety games. In: Leibniz International Proceedings in Informatics. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.55
Chatterjee, K., Hansen, K., & Ibsen-Jensen, R. (2017). Strategy complexity of concurrent safety games. In Leibniz International Proceedings in Informatics (Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2017.55
Chatterjee, Krishnendu, Kristofer Hansen, and Rasmus Ibsen-Jensen. “Strategy Complexity of Concurrent Safety Games.” In Leibniz International Proceedings in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.55.
K. Chatterjee, K. Hansen, and R. Ibsen-Jensen, “Strategy complexity of concurrent safety games,” in Leibniz International Proceedings in Informatics, Aalborg, Denmark, 2017, vol. 83.
Chatterjee K, Hansen K, Ibsen-Jensen R. 2017. Strategy complexity of concurrent safety games. Leibniz International Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science (SG), LIPIcs, vol. 83.
Chatterjee, Krishnendu, et al. “Strategy Complexity of Concurrent Safety Games.” Leibniz International Proceedings in Informatics, vol. 83, 55, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.55.
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