Title

A Note on Monotone Markov Processes

Abstract

This note contains some technical results developed for Kamihigashi and Stachurski (2010). We first consider a stochastic kernel on an arbitrary measurable space and establish some general results. We then introduce a preorder and consider an increasing stochastic kernel. None of our results requires any topological assumption. To make this note self-contained, we include some of the definitions reviewed or discussed in Kamihigashi and Stachurski (2010).


Takashi KAMIHIGASHI
Research Institute for Economics and Business Administration
Kobe University
Rokkodai-cho, Nada-ku, Kobe
657-8501 Japan
Phone: (81) 78 803 7036
Fax: (81) 78 803 7059

John STACHURSKI
Research School of Economics, Australian National University