Harin, Alexander (2020): Macroscopic analogs of quantummechanical phenomena and autotransformations of functions.

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Abstract
The two main goals of the present article are: 1) To prove an existence theorem for forbidden zones for the expectations of realvalued random variables. 2) To define transformations (named here as autotransformations) of the probability density functions (PDFs) of random variables into similar PDFs having smaller sizes of their domains and to outline their basic features. Such transformations can be used also for functions beyond the scope of the probability theory. The goals are caused by the wellknown problems of behavioral sciences, e.g., by the underweighting of high and the overweighting of low probabilities, risk aversion, the Allais paradox, etc.
Item Type:  MPRA Paper 

Original Title:  Macroscopic analogs of quantummechanical phenomena and autotransformations of functions 
Language:  English 
Keywords:  Expectations; Boundaries; Forbidden zones; Domains; Utility; 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C18  Methodological Issues: General D  Microeconomics > D8  Information, Knowledge, and Uncertainty D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D81  Criteria for DecisionMaking under Risk and Uncertainty D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D84  Expectations ; Speculations 
Item ID:  104188 
Depositing User:  Alexander Harin 
Date Deposited:  16 Nov 2020 16:26 
Last Modified:  16 Nov 2020 16:26 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/104188 