Entropy 2014, 16(7), 3590-3604; doi:10.3390/e16073590
Article

Normalized Expected Utility-Entropy Measure of Risk

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Received: 5 May 2014; in revised form: 24 June 2014 / Accepted: 25 June 2014 / Published: 30 June 2014
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: Yang and Qiu proposed an expected utility-entropy (EU-E) measure of risk, which reflects an individual’s intuitive attitude toward risk. Luce et al. have derived the numerical representations under behavioral axioms about preference orderings among gambles and their joint receipt, which further demonstrates the reasonability of the EU-E decision model as a normative one. In the paper, combining normalized expected utility and entropy together, we improve the EU-E measure of risk and decision model, and then propose the normalized EU-E measure of risk and decision model. The normalized EU-E measure of risk has some normative properties under certain conditions. Moreover, the normalized EU-E decision model can be a proper descriptive model to some extent. Using this model, two cases of common ratio effect and common consequence effect, which are the examples of certainty effects, can be explained in an intuitive way.
Keywords: risk; normalized expected utility; normalized entropy; certainty effect; common ratio effect; common consequence effect
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MDPI and ACS Style

Yang, J.; Qiu, W. Normalized Expected Utility-Entropy Measure of Risk. Entropy 2014, 16, 3590-3604.

AMA Style

Yang J, Qiu W. Normalized Expected Utility-Entropy Measure of Risk. Entropy. 2014; 16(7):3590-3604.

Chicago/Turabian Style

Yang, Jiping; Qiu, Wanhua. 2014. "Normalized Expected Utility-Entropy Measure of Risk." Entropy 16, no. 7: 3590-3604.

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