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 ÃÂ± investment dominates information structure ÃÂ² if, whenever he is willing to buy ÃÂ² at some price, he is also willing to buy ÃÂ± 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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Date of creation: 06 Dec 2010
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Other versions of this item:
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2013. "Entropy and the Value of Information for Investors," American Economic Review, American Economic Association, vol. 103(1), pages 360-77, February.
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2011. "Entropy and the value of information for investors," PSE Working Papers halshs-00648884, HAL.
- 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, 2010. "Entropy and the value of information for investors," Working Papers 2010-23, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- C00 - Mathematical and Quantitative Methods - - General - - - General
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
- D00 - Microeconomics - - General - - - General
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G00 - Financial Economics - - General - - - General
- G - Financial Economics
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