English

Constant Payoff Property in Zero-Sum Stochastic Games with a Finite Horizon

Optimization and Control 2024-12-02 v2

Abstract

This paper examines finite zero-sum stochastic games and demonstrates that when the game's duration is sufficiently long, there exists a pair of approximately optimal strategies such that the expected average payoff at any point in the game remains close to the value. This property, known as the \textit{constant payoff property}, was previously established only for absorbing games and discounted stochastic games.

Keywords

Cite

@article{arxiv.2409.05683,
  title  = {Constant Payoff Property in Zero-Sum Stochastic Games with a Finite Horizon},
  author = {Thomas Ragel and Bruno Ziliotto},
  journal= {arXiv preprint arXiv:2409.05683},
  year   = {2024}
}