# Blackwell optimality and policy stability for long-run risk sensitive stochastic control

arXiv: https://arxiv.org/abs/2406.15952 · HTML: https://mlsanity.com/paper/2406.15952/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 Jun 2024.

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

- [Efficient Risk-sensitive Planning via Entropic Risk Measures](https://mlsanity.com/paper/2502.20423/) (2025)

## Abstract (arXiv)

This paper analyzes the stability of optimal policies in the long-run stochastic control framework with an averaged risk-sensitive criterion for discrete-time MDPs on finite state-action space. In particular, we study the robustness of optimal controls when perturbations to the risk-aversion parameter are applied, and investigate the Blackwell property, together with its link to the risk-sensitive vanishing discount approximation framework. Finally, we present examples that help to better understand the intricacies of the risk-sensitive control framework.