This short paper is devoted to two items: 1) An analysis of Prelec’s weighting function at the probability p = 1 is highlighted (this analysis was performed by R. Duncan Luce in two articles with Ragnar Steingrimsson and János Aczél and here is referred to as the “Luce problem”). 2) The...

This short paper demonstrates that the claim of Cumulative Prospect Theory (CPT) that people are risk seeking for loss prospects, which confirmed a hypothetical assumption of the earlier Prospect Theory (PT), appears to be merely a result of using a specific form of the probability weighting...

A possibility of the existence of a discontinuity of Prelec’s (probability weighting) function W(p) at the probability p = 1 is discussed. This possibility is supported by the Aczél–Luce question whether Prelec’s weighting function W(p) is equal to 1 at p = 1, by the purely mathematical...

A need for experiments on the certainty effect near the certainty (near the probability p = 1) is stated in this paper. The need supported by the Aczél–Luce question whether Prelec’s weighting function W(p) is equal to 1 at p = 1, by the purely mathematical restrictions and the...

Three main groups of results have been obtained: 1) The question is emphasized whether the probability weighting function W(p) is continuous. If W(p) reveals a discontinuity at p=1, then this is a topological feature. This can qualitatively change (at least) the mathematical aspects of the...

This paper discusses solutions derived from lottery experiments using two alternative assumptions: that people perceive wealth changes as absolute amounts of money; and that people consider wealth changes as a proportion of some reference value dependant on the context of the problem under...

We assess the biological basis of expected utility anomalies through an experiment of the Allais paradox. A questionnaire study of 120 subjects replicates the anomalies and further gathers information about the respondents’ bio-characteristics, such as gender, age, parenthood, handedness,...

It is well-known that expected utility (EU) has empirical deficiencies. Prospect theory (PT) has developed as an alternative with more descriptive validity. However, PT’s full function had not yet been quantified in the health domain. This paper is the first to simultaneously measure utility...

In today’s insurance market there is a void that is any one person can have several insurance policies, this entails different providers, different payment schemes etc. There is an opportunity for an insurance company to unite all policies and create a universal insurance (UI) policy, an all...

According to prospect theory (Kahneman & Tversky, 1979), gains and losses are measured from current wealth, which serves as a reference point. We attempted to ascertain to what extent the reference point shifts following gains or losses. In questionnaire studies we asked subjects what stock...