We demonstrate theoretically and illustrate the implications of assuming power utility when the true function is of the expo-power form. Empirical results can appear to be consistent with cumulative prospect theory when they are in fact generated from a Markowitz model.

The purpose in this paper is to demonstrate how the non-expected utility models of Markowitz and Kahneman and Tversky can explain why an agent, chooses to bet each way on a horse. We also show that that appeal to moments of return, such as a preference for skewness of return, ceteris paribus, to...

Explanation of the Allais paradox and the preference of many for multiple prize lottery tickets provide a rationale for why a model of agent's choice under uncertainty should embody the assumption that they distort probabilities. However the degree of probability distortion required to explain...