Determinacy and Optimal Strategies in Infinite-state Stochastic Reachability Games

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F13%3A00080195" target="_blank" >RIV/00216224:14330/13:00080195 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S030439751200967X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S030439751200967X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.tcs.2012.10.038" target="_blank" >10.1016/j.tcs.2012.10.038</a>

Result language
angličtina
Original language name
Determinacy and Optimal Strategies in Infinite-state Stochastic Reachability Games
Original language description
We consider perfect-information reachability stochastic games for 2 players on countable graphs. Such a game is strongly determined if, whenever we fix an inequality ~E{>,>=} and a threshold p, either Player Max has a strategy which forces the value of the game to satisfy ~p against any strategy of Player Min, or Min has a strategy which forces the opposite against any strategy of Max. One of our results shows that whenever one of the players has an optimal strategy in every state of a game, thenthis game is strongly determined. This significantly generalises, e.g., recent results on finitely-branching reachability games. For strong determinacy, our methods are substantially different, based on which player has the optimal strategy, because theroles of the players are not symmetric. We also do not restrict the branching of the games, and where we provide an extension of results for finitely-branching games, we had to overcome significant complications and employ new methods as
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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