Entropy and the Value of Information for Investors
AbstractConsider an investor who fears ruin when facing investments that satisfy no-arbitrage. Before investing he can purchase information about the state of nature as an information structure. Given his prior, information structure Î± investment dominates information structure Î² if, whenever he is willing to buy Î² at some price, he is also willing to buy Î± at that price. We show that this informativeness ordering is complete and is represented by the decrease in entropy of his beliefs, regardless of his preferences, initial wealth, or investment problem. We also show that no prior-independent informativeness ordering based on similar premises exists. (JEL D14, D81, D83, G11)
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Bibliographic InfoArticle provided by American Economic Association in its journal American Economic Review.
Volume (Year): 103 (2013)
Issue (Month): 1 (February)
Other versions of this item:
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2010. "Entropy and the value of information for investors," Working Papers 2010-23, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2010. "Entropy and the value of information for investors," Levine's Working Paper Archive 661465000000000355, David K. Levine.
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2010. "Entropy and the value of information for investors," Working Papers 2010-17, Brown University, Department of Economics.
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2011. "Entropy and the value of information for investors," Economics Working Papers we1104, Universidad Carlos III, Departamento de Economía.
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2011. "Entropy and the value of information for investors," PSE Working Papers halshs-00648884, HAL.
- D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
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