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...

This is a very draft version of the report "The random-lottery incentive system. Can p~1 experiments deductions be correct?". It is published to extend the abstract of the report. Aczél and Luce emphasized a fundamental question: whether W(1)=1 (whether the Prelec weighting function equals 1 at...

A new approach is presented. It is based on a generalization of a breach of a term of contract and on the economic uncertainty principle. Problems, which can be solved, research fields, which can be augmented or created, and fields of applications in practical economy are reviewed. The role of...

A theorem of existence of ruptures in the probability scale has been proven. The theorem can be used, e.g., in economics and forecasting. It can assist to solve paradoxes such as Allais paradox and the “four-fold-pattern” paradox and to create the correcting formula of forecasting.

The theorem of existence of the ruptures in the probability scale has been proved for a discrete case. The theorem can be used, e.g., in economics and forecasting. It can assist to solve paradoxes such as Allais paradox and the “four-fold-pattern” paradox and to create the correcting formula...

The theorems of existence of the ruptures have been proved. The ruptures can exist near the borders of finite intervals and of the probability scale. The theorems can be used, e.g., in economics and forecasting.