English

A vector minmax problem for controlled Markov chains

Probability 2010-11-03 v1

Abstract

The problem of controlling a finite state Markov chain in the presence of an adversary so as to ensure desired performance levels for a vector of objectives is cast in the framework of Blackwell approachability. Relying on an elementary two time scale construction a control scheme is proposed which ensures almost sure convergence to the desired set regardless of the adversarial actions.

Keywords

Cite

@article{arxiv.1011.0675,
  title  = {A vector minmax problem for controlled Markov chains},
  author = {Sameer Kamal},
  journal= {arXiv preprint arXiv:1011.0675},
  year   = {2010}
}

Comments

15 pages

R2 v1 2026-06-21T16:37:54.204Z