A Radon-Nikodym approach to measure information
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.
|Date of creation:||14 Oct 2010|
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- Aumann, Robert J., 1974.
"Subjectivity and correlation in randomized strategies,"
Journal of Mathematical Economics,
Elsevier, vol. 1(1), pages 67-96, March.
- AUMANN, Robert J., "undated". "Subjectivity and correlation in randomized strategies," CORE Discussion Papers RP 167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
- Lehrer, Ehud & Rosenberg, Dinah, 2006. "What restrictions do Bayesian games impose on the value of information?," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 343-357, June.
- Ehud Lehrer & Dinah Rosenberg, 2003. "What restrictions do Bayesian games impose on the value of information?," Game Theory and Information 0312005, EconWPA.
- Kennan, John, 1981. "The Existence of Expected Utility Maximizing Decisions When Utility Is Unbounded," Econometrica, Econometric Society, vol. 49(1), pages 215-218, January. Full references (including those not matched with items on IDEAS)
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