An extended footnote on finitely minimal martingale measures
Probability
2016-06-13 v1
Abstract
This note contains a short discussion on the sufficiency of finite optimality in martingale transport. It is shown that finitely minimal martingale measures are solutions of the martingale transport problem when the cost function is upper semi-continuous and bounded from above by a sum of integrable functions. As an application a transparent proof of the uniqueness of left-monotone martingale transport plans is given.
Cite
@article{arxiv.1606.03106,
title = {An extended footnote on finitely minimal martingale measures},
author = {Claus Griessler},
journal= {arXiv preprint arXiv:1606.03106},
year = {2016}
}
Comments
Preprint, comments welcome