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Subjective Trusts and Prospects: Some Practical Remarks on Decision Making with Imperfect Information

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Abstract

The paper addresses decision making with imperfect information and suggests simple techniques for handling uncertainties in the framework of the Kahneman and Tversky prospects theory using methods of subjective beliefs governed by uninorm and absorbing norm aggregators. The suggested method utilizes observations that people assign higher probabilities to predictions, which have either high or low probabilities and lower probabilities to the predictions with intermediate probabilities, and usually prefer avoiding choice to other alternatives. The method is verified by direct application to the original experimental results presented by Kahneman and Tversky. In addition, it is demonstrated that the suggested model completely coincides both with the recent Enke and Graeber model of cognitive uncertainty and with the conventional model based on the Shannon entropy and provides a unified framework for both techniques. In the discussion section, the paper addresses the inferences of the suggested method in the economic studies.

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Code Availability

The MATLAB® scripts of the suggested operators and presented calculations are available and can be provided for free for any non-commercial purposes.

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Acknowledgements

We sincerely thank the reviewer for kind notice of the research by Dr. Tomas Folke; the experiments conducted by Dr. Folke and his collaborators on a wide range of respondents from different countries completely support the results by Kahneman and Tversky and allow considering their conclusions as proven facts.

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Correspondence to Evgeny Kagan.

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Kagan, E., Rybalov, A. Subjective Trusts and Prospects: Some Practical Remarks on Decision Making with Imperfect Information. Oper. Res. Forum 3, 19 (2022). https://doi.org/10.1007/s43069-022-00129-9

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