Utility Function from Maximum Entropy Principle

Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function. Here we begin with the price density that is derived by applying the maximum entropy principle t...

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Main Author: Amir H. Darooneh
Format: Article
Language:English
Published: MDPI AG 2006-01-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/8/1/18/
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author Amir H. Darooneh
author_facet Amir H. Darooneh
author_sort Amir H. Darooneh
collection DOAJ
description Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function. Here we begin with the price density that is derived by applying the maximum entropy principle to a conservative economic system (exchange market), then reverse the Buhlmann calculation to find the utility function and the risk aversion of agents with respect to this density.
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spelling doaj.art-985f3c67d36243b0bc09d0a72016b4592022-12-22T02:57:23ZengMDPI AGEntropy1099-43002006-01-0181182410.3390/e8010018Utility Function from Maximum Entropy PrincipleAmir H. DaroonehRecently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function. Here we begin with the price density that is derived by applying the maximum entropy principle to a conservative economic system (exchange market), then reverse the Buhlmann calculation to find the utility function and the risk aversion of agents with respect to this density.http://www.mdpi.com/1099-4300/8/1/18/utility functionprice densitymaximum entropy principlerisk aversion.
spellingShingle Amir H. Darooneh
Utility Function from Maximum Entropy Principle
Entropy
utility function
price density
maximum entropy principle
risk aversion.
title Utility Function from Maximum Entropy Principle
title_full Utility Function from Maximum Entropy Principle
title_fullStr Utility Function from Maximum Entropy Principle
title_full_unstemmed Utility Function from Maximum Entropy Principle
title_short Utility Function from Maximum Entropy Principle
title_sort utility function from maximum entropy principle
topic utility function
price density
maximum entropy principle
risk aversion.
url http://www.mdpi.com/1099-4300/8/1/18/
work_keys_str_mv AT amirhdarooneh utilityfunctionfrommaximumentropyprinciple