National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Comparison of Shenoy’s Expectation Operator with Probabilistic Transforms and Perez’ Barycenter
Jiroušek, R. ; Kratochvíl, Václav
Shenoy’s paper published in this Proceedings of WUPES 2018 introduces an operator that gives instructions how to compute an expected value in the Dempster-Shafer theory of evidence. Up to now, there was no direct way to get the expected value of a utility function in D-S theory. If eeded, one had to find a probability mass function corresponding to the considered belief function, and then - using this probability mass function - to compute the classical probabilistic expectation. In this paper, we take four different approaches to defining probabilistic representatives of a belief function and compare which one yields to the best approximations of Shenoy’s expected values of various utility functions. The achieved results support our conjecture that there does not exist a probabilistic representative of a belief function that would yield the same expectations as the Shenoy’s new operator.
Comparison of the three utility functions and their application to various aspects of consumer behavior
Mišuráková, Mária ; Koubek, Ivo (advisor) ; Bobková, Božena (referee)
Many economists have tried to measure the utility of wealth and to predict human behavior based on this. In my thesis, I describe three such models - the expected utility theory, the prospect theory and the maximization of the probability of economic survival theory. Using an experiment, I try to figure out which model best represents the reality. For this purpose I developed an economic game to observe decisions of people in situations involving risk which I performed with a group of high-school students. The best representation of their behavior appears to be a convex utility function according to the expected utility theory. The implied risk-seeking is, in my opinion, caused by the fact that the experiment was conducted under laboratory conditions.

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