Stopping Criteria for Value Iteration on Concurrent Stochastic Reachability and Safety Games

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F25%3A00143614" target="_blank" >RIV/00216224:14330/25:00143614 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1109/LICS65433.2025.00049" target="_blank" >http://dx.doi.org/10.1109/LICS65433.2025.00049</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/LICS65433.2025.00049" target="_blank" >10.1109/LICS65433.2025.00049</a>

Result language

angličtina

Original language name

Stopping Criteria for Value Iteration on Concurrent Stochastic Reachability and Safety Games

Original language description

We consider two-player zero-sum concurrent stochastic games (CSGs) played on graphs with reachability and safety objectives. These include degenerate classes such as Markov decision processes or turn-based stochastic games, which can be solved by linear or quadratic programming; however, in practice, value iteration (VI) outperforms the other approaches and is the most implemented method. Similarly, for CSGs, this practical performance makes VI an attractive alternative to the standard theoretical solution via the existential theory of reals.VI starts with an under-approximation of the sought values for each state and iteratively updates them, traditionally terminating once two consecutive approximations are ε-close. However, this stopping criterion lacks guarantees on the precision of the approximation, which is the goal of this work. We provide bounded (a.k.a. interval) VI for CSGs: it complements standard VI with a converging sequence of over-approximations and terminates once the over- and under-approximations are ε-close.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Stopping Criteria for Value Iteration on Concurrent Stochastic Reachability and Safety Games

ISBN

9798331579005

ISSN

1043-6871

e-ISSN

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Number of pages

13

Pages from-to

568-580

Publisher name

IEEE

Place of publication

Singapore

Event location

Singapore

Event date

Jan 1, 2025

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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