Existence and Uniqueness of Stationary Probability Vector for Stochastic Matrices using Farkas’ Lemma
Somdeb Lahiri · Asian Journal of Probability and Statistics · 2022
The purpose of this note is to provide a simple proof of existence of stationary probability vectors (fixed points) for stochastic matrices using Farkas’ lemma. This result as well as the uniqueness of stationary probability vectors also holds for a certain subclass of quasi-stochastic matrices.