# Approximating Values of Generalized-Reachability Stochastic Games

arXiv: https://arxiv.org/abs/1908.05106 · HTML: https://mlsanity.com/paper/1908.05106/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Aug 2019.

## Built on by (most cited first, 1 of 1)

- [Stopping Criteria for Value Iteration on Stochastic Games with Quantitative Objectives](https://mlsanity.com/paper/2304.09930/) (2023)

## Abstract (arXiv)

Simple stochastic games are turn-based 2.5-player games with a reachability objective. The basic question asks whether one player can ensure reaching a given target with at least a given probability. A natural extension is games with a conjunction of such conditions as objective. Despite a plethora of recent results on the analysis of systems with multiple objectives, the decidability of this basic problem remains open. In this paper, we present an algorithm approximating the Pareto frontier of the achievable values to a given precision. Moreover, it is an anytime algorithm, meaning it can be stopped at any time returning the current approximation and its error bound.