About: One-Counter Stochastic Games     Goto   Sponge   NotDistinct   Permalink

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  • We study the computational complexity of basic decision problems for one-counter simple stochastic games (OC-SSGs), under various objectives. OC-SSGs are 2-player turn-based stochastic games played on transition graphs of classic one-counter automata. We study primarily the termination objective, where one player has to maximize the probability of reaching counter value 0, while the other player wishes to avoid this. Partly motivated by the goal of understanding termination objectives, we also study certain ``limit'' and ``long run average'' reward objectives. We show that the qualitative termination problem for OC-SSGs is both in NP and coNP, and in P-time for 1-player OC-SSGs. Moreover, we show that quantitative limit problems for OC-SSGs are both in NP and coNP, and are in P-time for 1-player OC-MDPs. Both qualitative limit problems and qualitative termination problems for OC-SSGs are already at least as hard as Condon's quantitative decision problem for finite-state SSGs.
  • We study the computational complexity of basic decision problems for one-counter simple stochastic games (OC-SSGs), under various objectives. OC-SSGs are 2-player turn-based stochastic games played on transition graphs of classic one-counter automata. We study primarily the termination objective, where one player has to maximize the probability of reaching counter value 0, while the other player wishes to avoid this. Partly motivated by the goal of understanding termination objectives, we also study certain ``limit'' and ``long run average'' reward objectives. We show that the qualitative termination problem for OC-SSGs is both in NP and coNP, and in P-time for 1-player OC-SSGs. Moreover, we show that quantitative limit problems for OC-SSGs are both in NP and coNP, and are in P-time for 1-player OC-MDPs. Both qualitative limit problems and qualitative termination problems for OC-SSGs are already at least as hard as Condon's quantitative decision problem for finite-state SSGs. (en)
Title
  • One-Counter Stochastic Games
  • One-Counter Stochastic Games (en)
skos:prefLabel
  • One-Counter Stochastic Games
  • One-Counter Stochastic Games (en)
skos:notation
  • RIV/00216224:14330/10:00044742!RIV11-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), P(GAP202/10/1469), Z(MSM0021622419)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 276975
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/10:00044742
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • one-counter automata; simple stochastic games; Markov decision process; termination; long run average reward (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [657608184FA6]
http://linked.open...v/mistoKonaniAkce
  • Chennai, Indie
http://linked.open...i/riv/mistoVydani
  • Dagstuhl, Germany
http://linked.open...i/riv/nazevZdroje
  • IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Brožek, Václav
  • Brázdil, Tomáš
  • Etessami, Kousha
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 1868-8969
number of pages
http://purl.org/ne...btex#hasPublisher
  • Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik
https://schema.org/isbn
  • 978-3-939897-23-1
http://localhost/t...ganizacniJednotka
  • 14330
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