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14 octobre 2010
- handle: 10670/1.zbs662
- hal: hal-00526251
info:eu-repo/semantics/OpenAccess
Mots-clés
Decision making under uncertainty value of information expected utility capacity Radon-Nikodyn derivativeSujets proches
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Yann Rébillé, « A Radon-Nikodym approach to measure information », HAL-SHS : économie et finance, ID : 10670/1.zbs662
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We consider a decision maker facing uncertainty which behaves as a subjective expected utility maximizer. The value of information is traditionnaly captured as a greater expected utility the decision maker can achieve by selecting a best strategy as information arrives. We deal with the limit process of being better informed and introduce an information density function depending soley on the states that gives an exact least upper bound to being more informed. This information density function is given by a Radon-Nikodym's type theorem for set functions and is explicitely computed for the countable case.