This paper develops new financial theory to link the third order stochastic dominance for risk-averse and risk-seeking investors and provide illustration of application in risk management. We present some interesting new properties of third order stochastic dominance (TSD) for risk-averse and...

In this paper we first extend the theory of almost stochastic dominance (ASD) (for risk averters) to include the ASD for risk-seeking investors. We then study the relationship between ASD for risk seekers and ASD for risk averters. Recently, Tsetlin, et al. (2015) develop the theory of...

The prospect theory is one of the most popular decision-making theories. It is based on the S-shaped utility function, unlike the von Neumann and Morgenstern (NM) theory, which is based on the concave utility function. The S-shape brings in mathematical challenges: simple extensions and...