English

Approximating the Value of Energy-Parity Objectives in Simple Stochastic Games

Computer Science and Game Theory 2023-07-13 v1 Probability

Abstract

We consider simple stochastic games G\mathcal G with energy-parity objectives, a combination of quantitative rewards with a qualitative parity condition. The Maximizer tries to avoid running out of energy while simultaneously satisfying a parity condition. We present an algorithm to approximate the value of a given configuration in 2-NEXPTIME. Moreover, ε\varepsilon-optimal strategies for either player require at most O(2EXP(G)log(1ε))O(2EXP(|{\mathcal G}|)\cdot\log(\frac{1}{\varepsilon})) memory modes.

Keywords

Cite

@article{arxiv.2307.05762,
  title  = {Approximating the Value of Energy-Parity Objectives in Simple Stochastic Games},
  author = {Mohan Dantam and Richard Mayr},
  journal= {arXiv preprint arXiv:2307.05762},
  year   = {2023}
}

Comments

Full version of a paper presented at MFCS 2023