Earlier Version

Perfect-information stochastic mean-payoff parity games

K. Chatterjee, L. Doyen, H. Gimbert, Y. Oualhadj, Perfect-Information Stochastic Mean-Payoff Parity Games, IST Austria, 2013.

Download
OA IST-2013-128-v1+1_full_stoch_mpp.pdf 387.47 KB

Technical Report | Published | English
Author
Chatterjee, KrishnenduIST Austria ; Doyen, Laurent; Gimbert, Hugo; Oualhadj, Youssouf
Department
Series Title
IST Austria Technical Report
Abstract
The theory of graph games is the foundation for modeling and synthesizing reactive processes. In the synthesis of stochastic processes, we use 2-1/2-player games where some transitions of the game graph are controlled by two adversarial players, the System and the Environment, and the other transitions are determined probabilistically. We consider 2-1/2-player games where the objective of the System is the conjunction of a qualitative objective (specified as a parity condition) and a quantitative objective (specified as a mean-payoff condition). We establish that the problem of deciding whether the System can ensure that the probability to satisfy the mean-payoff parity objective is at least a given threshold is in NP ∩ coNP, matching the best known bound in the special case of 2-player games (where all transitions are deterministic) with only parity objectives, or with only mean-payoff objectives. We present an algorithm running in time O(d · n^{2d}·MeanGame) to compute the set of almost-sure winning states from which the objective can be ensured with probability 1, where n is the number of states of the game, d the number of priorities of the parity objective, and MeanGame is the complexity to compute the set of almost-sure winning states in 2-1/2-player mean-payoff games. Our results are useful in the synthesis of stochastic reactive systems with both functional requirement (given as a qualitative objective) and performance requirement (given as a quantitative objective).
Publishing Year
Date Published
2013-07-08
Page
22
ISSN
IST-REx-ID

Cite this

Chatterjee K, Doyen L, Gimbert H, Oualhadj Y. Perfect-Information Stochastic Mean-Payoff Parity Games. IST Austria; 2013. doi:10.15479/AT:IST-2013-128-v1-1
Chatterjee, K., Doyen, L., Gimbert, H., & Oualhadj, Y. (2013). Perfect-information stochastic mean-payoff parity games. IST Austria. https://doi.org/10.15479/AT:IST-2013-128-v1-1
Chatterjee, Krishnendu, Laurent Doyen, Hugo Gimbert, and Youssouf Oualhadj. Perfect-Information Stochastic Mean-Payoff Parity Games. IST Austria, 2013. https://doi.org/10.15479/AT:IST-2013-128-v1-1.
K. Chatterjee, L. Doyen, H. Gimbert, and Y. Oualhadj, Perfect-information stochastic mean-payoff parity games. IST Austria, 2013.
Chatterjee K, Doyen L, Gimbert H, Oualhadj Y. 2013. Perfect-information stochastic mean-payoff parity games, IST Austria, 22p.
Chatterjee, Krishnendu, et al. Perfect-Information Stochastic Mean-Payoff Parity Games. IST Austria, 2013, doi:10.15479/AT:IST-2013-128-v1-1.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Main File(s)
Access Level
OA Open Access
Date Uploaded
2018-12-12
MD5 Checksum
ede787a10e74e4f7db302fab8f12f3ca


Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar