Approximate efficiency in infinite dimensional ordered vector spaces

The research paper is focused on a new concept of efficiency and to its immediate links with optimisation. This most general concept of approximate efficiency generalises the usual concept of efficiency in ordered vector spaces, so it has also significant implications in applied management science. As a main argument in this direction, we present our recent coincidence result between the approximate efficient points sets and a special kind of Choquet boundaries. In this way, the efficiency is connected with Potential Theory, its applications and conversely.