English

A primer of optimal ergodic average control for an insurance company diffusion model

Probability 2025-06-26 v2

Abstract

An ergodic analogue of a well-known diffusion model for risk and dividend distribution of a financial company is considered. In this simple primer it is curious how infinitely many optimal strategies are in accordance with the ergodic Bellman equation.

Keywords

Cite

@article{arxiv.2506.19134,
  title  = {A primer of optimal ergodic average control for an insurance company diffusion model},
  author = {Elizaveta Iashchenko and Alexander Veretennikov},
  journal= {arXiv preprint arXiv:2506.19134},
  year   = {2025}
}

Comments

13 pages, 11 references, in Russian