Entropy and the value of information for investors
AbstractConsider any investor who fears ruin when facing any set of investments that satisfy no-arbitrage. Before investing, he can purchase information about the state of nature in the form of an information structure. Given his prior, information structure $\alpha$ is more informative than information structure $\beta$ if, whenever he is willing to buy $\beta$ at some price, he is also willing to buy $\alpha$ 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HAL in its series PSE Working Papers with number halshs-00648884.
Date of creation: Dec 2011
Date of revision:
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00648884
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
Informativeness ; Information structures ; Entropy ; Decision under uncertainty ; Investment ; Blackwell ordering;
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," 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 2010-17, Brown University, Department of Economics.
- 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.
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-12-19 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Olivier Gossner & Penelope Hernandez & Abraham Neyman, 2004.
"Optimal Use of Communication Resources,"
Discussion Paper Series
dp377, The Center for the Study of Rationality, Hebrew University, Jerusalem.
- Dean Foster & Sergiu Hart, 2007.
"An Operational Measure of Riskiness,"
843644000000000095, UCLA Department of Economics.
- Susan Athey & Jonathan Levin, 1998.
"The Value of Information In Monotone Decision Problems,"
98-24, Massachusetts Institute of Technology (MIT), Department of Economics.
- Jonathan Levin & Susan Athey, 2001. "The Value of Information in Monotone Decision Problems," Working Papers 01003, Stanford University, Department of Economics.
- Olivier Gossner, 2011. "Simple Bounds on the Value of a Reputation," Econometrica, Econometric Society, vol. 79(5), pages 1627-1641, 09.
- Sergiu Hart, 2011.
"Comparing Risks by Acceptance and Rejection,"
Journal of Political Economy,
University of Chicago Press, vol. 119(4), pages 617 - 638.
- Yaron Azrieli & Ehud Lehrer, 2004.
"The Value Of A Stochastic Information Structure,"
Game Theory and Information
- Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
- Thierry Post & Martijn J. van den Assem & Guido Baltussen & Richard H. Thaler, 2008. "Deal or No Deal? Decision Making under Risk in a Large-Payoff Game Show," American Economic Review, American Economic Association, vol. 98(1), pages 38-71, March.
- Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2012.
"The Appeal of Information Transactions,"
2012-13, Brown University, Department of Economics.
- Braz Camargo & Kyungmin (Teddy) Kim & Benjamin Lester, 2013.
"Subsidizing price discovery,"
13-20, Federal Reserve Bank of Philadelphia.
- Camargo, Braz & Pastorino, Elena, 2012.
"Career concerns: A human capital perspective,"
Textos para discussÃ£o
288, Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
- Stark, Oded & Jakubek, Marcin & Falniowski, Fryderyk, 2013. "Reconciling the Rawlsian and the utilitarian approaches to the maximization of social welfare," University of Tuebingen Working Papers in Economics and Finance 65, University of Tuebingen, Faculty of Economics and Social Sciences.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD).
If references are entirely missing, you can add them using this form.