Chatterjee, KrishnenduISTA ; Doyen, Laurent
We consider multi-player graph games with partial-observation and parity objective. While the decision problem for three-player games with a coalition of the first and second players against the third player is undecidable in general, we present a decidability result for partial-observation games where the first and third player are in a coalition against the second player, thus where the second player is adversarial but weaker due to partial-observation. We establish tight complexity bounds in the case where player 1 is less informed than player 2, namely 2-EXPTIME-completeness for parity objectives. The symmetric case of player 1 more informed than player 2 is much more complicated, and we show that already in the case where player 1 has perfect observation, memory of size non-elementary is necessary in general for reachability objectives, and the problem is decidable for safety and reachability objectives. From our results we derive new complexity results for partial-observation stochastic games.
Lecture Notes in Computer Science
This research was partly supported by European project Cassting (FP7-601148). Technical Report under https://research-explorer.app.ist.ac.at/record/5418
110 - 121
ICALP: Automata, Languages and Programming
2014-07-08 – 2014-07-11
Chatterjee K, Doyen L. Games with a weak adversary. In: Lecture Notes in Computer Science. Vol 8573. Springer; 2014:110-121. doi:10.1007/978-3-662-43951-7_10
Chatterjee, K., & Doyen, L. (2014). Games with a weak adversary. In Lecture Notes in Computer Science (Vol. 8573, pp. 110–121). Copenhagen, Denmark: Springer. https://doi.org/10.1007/978-3-662-43951-7_10
Chatterjee, Krishnendu, and Laurent Doyen. “Games with a Weak Adversary.” In Lecture Notes in Computer Science, 8573:110–21. Springer, 2014. https://doi.org/10.1007/978-3-662-43951-7_10.
K. Chatterjee and L. Doyen, “Games with a weak adversary,” in Lecture Notes in Computer Science, Copenhagen, Denmark, 2014, vol. 8573, no. Part 2, pp. 110–121.
Chatterjee K, Doyen L. 2014. Games with a weak adversary. Lecture Notes in Computer Science. ICALP: Automata, Languages and Programming, LNCS, vol. 8573, 110–121.
Chatterjee, Krishnendu, and Laurent Doyen. “Games with a Weak Adversary.” Lecture Notes in Computer Science, vol. 8573, no. Part 2, Springer, 2014, pp. 110–21, doi:10.1007/978-3-662-43951-7_10.
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