In this paper, we first state some well-known problems including the Friedman-Savage paradox raised by Friedman and Savage (1948) who wonder why individuals would like to buy insurance as well as buy lottery tickets. To provide solutions to the problems, we first use the idea from Fishburn and...

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...

This paper examines the market efficiency of oil spot and futures prices by using both mean-variance (MV) and stochastic dominance (SD) approaches. As there is no evidence of any MV and SD relationship between oil spot and futures, we conclude: there is no arbitrage opportunity between these two...

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...

This article aims to study the role of gold quoted on the Shanghai Gold Exchange in the diversification of Chinese portfolios using a mean-risk and stochastic dominance analysis. With the 2004-2014 period, our results show that in general, risk-averse investors prefer not to include gold while...

In this paper, we investigate the production and hedging decisions when the competitive firm is not only risk averse but also regret averse. Regret aversion is characterized by a utility function that includes dis-utility from having chosen ex-post suboptimal alternatives. We first show that...

This paper is on decision theoretical foundations for various types of VaR models, including VaR and conditional-VaR, as objective measures of downside risk for financial prospects. We establish the connections of the VaRs with the first- and the second-order stochastic dominance investment...

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...