The shortage function has been proposed as a tool to gauge portfolio performance in multi-moment portfolio models. An open issue is how the choice of direction vector affects the efficiency measurement and, from a practical point of view, the resulting league tables. This paper illustrates...

This contribution explores how multi-dimensional lower partial moment portfolio models are different from their bi-criteria counterparts. In particular, the mean semivariance and semi-skewness model that seems little used in practice is contrasted to the rather popular mean semi-variance and...

The main aim of this contribution is to compare existing and newly developed techniques for geometrically representing mean-variance-skewness portfolio frontiers based on the rather widely adapted methodology of polynomial goal programming (PGP) on the one hand and the more recent approach based...

The literature suggests that investors prefer portfolios based on mean, variance and skewness rather than portfolios based on mean-variance (MV) criteria solely. Furthermore, a small variety of methods have been proposed to determine meanvariance-skewness (MVS) optimal portfolios. Recently, the...