We study graphs and two-player games in which rewards are assigned to states, and the goal of the players is to satisfy or dissatisfy certain property of the generated outcome, given as a mean payoff property. Since the notion of mean-payoff does not reflect possible fluctuations from the mean-payoff along a run, we propose definitions and algorithms for capturing the stability of the system, and give algorithms for deciding if a given mean payoff and stability objective can be ensured in the system.
@InProceedings{brazdil_et_al:LIPIcs.CONCUR.2016.10, author = {Brazdil, Tomas and Forejt, Vojtech and Kucera, Antonin and Novotny, Petr}, title = {{Stability in Graphs and Games}}, booktitle = {27th International Conference on Concurrency Theory (CONCUR 2016)}, pages = {10:1--10:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-017-0}, ISSN = {1868-8969}, year = {2016}, volume = {59}, editor = {Desharnais, Jos\'{e}e and Jagadeesan, Radha}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2016.10}, URN = {urn:nbn:de:0030-drops-61784}, doi = {10.4230/LIPIcs.CONCUR.2016.10}, annote = {Keywords: Games, Stability, Mean-Payoff, Window Objectives} }
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