Entropy and the Value of Information for Investors

Antonio Cabrales, Olivier Gossner and Roberto Serrano

American Economic Review, 2013, vol. 103, issue 1, 360-77

Abstract: Consider 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 α investment dominates information structure β if, whenever he is willing to buy β at some price, he is also willing to buy α 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)

JEL-codes: D14 D81 D83 G11 (search for similar items in EconPapers)
Date: 2013
Note: DOI: 10.1257/aer.103.1.360
References: Add references at CitEc
Citations: View citations in EconPapers (49)

Downloads: (external link)
https://www.aeaweb.org/articles?id=10.1257/aer.103.1.360 (application/pdf)
https://www.aeaweb.org/aer/data/feb2013/20111176_app.pdf (application/pdf)
Access to full text is restricted to AEA members and institutional subscribers.

Related works:
Working Paper: Entropy and the Value of Information for Investors (2013)
Working Paper: Entropy and the Value of Information for Investors (2013)
Working Paper: Entropy and the value of information for investors (2011)
Working Paper: Entropy and the value of information for investors (2011)
Working Paper: Entropy and the value of information for investors (2011)
Working Paper: Entropy and the value of information for investors (2010)
Working Paper: Entropy and the value of information for investors (2010)
Working Paper: Entropy and the value of information for investors (2010)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:aea:aecrev:v:103:y:2013:i:1:p:360-77

Ordering information: This journal article can be ordered from
https://www.aeaweb.org/journals/subscriptions

Access Statistics for this article

American Economic Review is currently edited by Esther Duflo

More articles in American Economic Review from American Economic Association Contact information at EDIRC.
Bibliographic data for series maintained by Michael P. Albert ().