We extend the continuous Cumulative Prospect Theory (CPT) by considering piecewise con-tinuous distributions with a finite number of jump discontinuities. Such distributions are rele-vant in practice, for example, within the framework of financial engineering since cash flow distributions of...

Despite extensive studies, the nature of risk attitudes remains a vigorously discussed question in economics and psychology. In expected utility theory, attitudes towards risk originate from changes in marginal utility. Cumulative prospect theory (CPT) adds an additional dimension: the weighting...

In this paper it is shown that the combination of mental accounting and loss aversion can fundamentally changes people's way of evaluating risky alternatives. The observation is applied in a market setting: Parimutuel betting markets. In parimutuel betting markets it has been found that for...

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...

The paper relates cumulative prospect theory to the moments of returns distributions, e.g. skewness and kurtosis, assuming returns are normal inverse Gaussian distributed. The normal inverse Gaussian distribution parametrizes the first- to forth-order moments, making the investigation...

The origin of prospect theory is the desire to test the intuitive statistician in the real world. The development of this theory by the cognitive psychologists Kahneman and Tversky can be traced to the former's work in cognitive psychophysics, in which deviations from average behavior are termed...

We examine the risky choices of contestants in the popular TV game show “Deal or No Deal” and related classroom experiments. Contrary to the traditional view of expected utility theory, the choices can be explained in large part by previous outcomes experienced during the game. Risk aversion...

We conduct an experiment to test whether the size of a loss and the time in a losing position affect investors’ adaptation to the loss situation and, subsequently, whether this adaptation affects future investment decisions. As investors adapt to losses, their neutral reference point shifts...

We present a new theory of decision under uncertainty: third-generation prospect theory (PT3). This retains the predictive power of previous versions of prospect theory, but extends that theory by allowing reference points to be uncertain while decision weights are specified in a rank-dependent...

A farmer's uncertainty preferences can play a large role in how he makes production decisions on the farm. We attempt to understand how farmers' household characteristics as well as past harvest shocks affect uncertainty preferences of maize farmers in southern Mexico. By using a series of...