This paper shows that a flaw exists in the logic behind the previously stated theoretical connections between utility theory and moment preferences. In fact, no such relationship exists. There is also a flaw in the logic that postulates that approximate normality can justify moment (e.g.,...

We consider the problem of constructing a portfolio of finitely many assets whose returns are described by a discrete joint distribution. We propose a new portfolio optimization model involving stochastic dominance constraints on the portfolio return. We develop optimality and duality theory for...