This short paper shows that the Allais Paradox and the Common Ratio Effect regarded as classic examples of the violation of the Expected Utility Theory Axioms – may be easily explained by assuming that changes in wealth (i.e. gains and losses) are perceived in relative terms. The preference...

Prospect Theory (1979) and its Cumulative version (1992) argue for probability weighting to explain lottery choices. Decision Utility Theory presents an alternative solution, which makes no use of this concept. The new theory distinguishes decision and perception utility, postulates a double...

This paper introduces the concept of range-dependent utility. Instead of reference dependence which evaluates outcomes relative to some reference point, we postulate dependence on a given lottery (set of lotteries) outcomes range. In this way the decision maker is a fully rational expected...

We present the first calibration of quantum decision theory (QDT) to an empirical data set. The data comprise 91 choices between two lotteries (two "prospects") presented in 91 random pairs made by 142 subjects offered at two separated times. First, we quantitatively account for the fraction of...

A number of experiments indicate probabilistic preferences in cases where no one alternative is absolutely optimal. The task of predicting the choice of one of the alternatives among multiple alternatives is then practically important and not trivial. It can occur in situations of choice under...

We propose a new parametrization of Quantum Decision Theory (QDT), based on Rank Dependent Utility Theory (RDU). Using experimental data made of choices between pairs of lotteries, we compare QDT with "classical" decision theories, RDU and Cumulative Prospect Theory (CPT). At the aggregate...

We investigate whether alternative asset classes should be included in optimal portfolios of the most prominent investor personae in the Behavioral Finance literature, namely, the Cumulative Prospect Theory, the Markowitz and the Loss Averse types of investors. We develop a stochastic spanning...

The Allais Paradox, or common consequence effect, has been a standard challenge to normative theories of risky choice since its proposal over 60 years ago. However, neither its causes nor the conditions necessary to create the effect are well understood. Two experiments test the effects 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...

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...