When are signals complements or substitutes?
The paper introduces a notion of complementarity (substitutability) of two signals which requires that in all decision problems each signal becomes more (less) valuable when the other signal becomes available. We provide a general characterization which relates complementarity and substitutability to a Blackwell-comparison of two auxiliary signals. In a special setting with a binary state space and binary, symmetric signals, we find an explicit characterization that permits an intuitive interpretation of complementarity and substitutability. We demonstrate how these conditions extend to the general case. Finally, we study implications of complementarity and substitutability for information acquisition and in a second price auction.
|Date of creation:||Mar 2007|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +34-91 6249594
Fax: +34-91 6249329
Web page: http://www.eco.uc3m.es
More information through EDIRC
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.:
- Nicola Persico, 2004. "Committee Design with Endogenous Information," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 165-191.
- Schmitz, Patrick W. & Tröger, Thomas, 2012.
"The (sub-)optimality of the majority rule,"
Games and Economic Behavior,
Elsevier, vol. 74(2), pages 651-665.
- Milgrom, Paul & Weber, Robert J., 1982.
"The value of information in a sealed-bid auction,"
Journal of Mathematical Economics,
Elsevier, vol. 10(1), pages 105-114, June.
- Péter Kondor, 2005.
"The more we know, the less we agree: public announcements and higher-order expectations,"
FMG Discussion Papers
dp532, Financial Markets Group.
- Peter Kondor, 2004. "The more we know, the less we agree: public announcements and higher-order expectations," LSE Research Online Documents on Economics 24645, London School of Economics and Political Science, LSE Library.
- Nicola Persico, 2004. "Committee Design with Endogenous Information," Review of Economic Studies, Wiley Blackwell, vol. 71(1), pages 165-191, 01.
- Jonathan Levin & Susan Athey, 2001.
"The Value of Information in Monotone Decision Problems,"
01003, Stanford University, Department of Economics.
- Susan Athey & Jonathan Levin, 1998. "The Value of Information In Monotone Decision Problems," Working papers 98-24, Massachusetts Institute of Technology (MIT), Department of Economics.
- Timothy Feddersen & Wolfgang Pesendorfer, 1997.
"Voting Behavior and Information Aggregation in Elections With Private Information,"
Levine's Working Paper Archive
1560, David K. Levine.
- Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
- Timothy Feddersen & Wolfgang Pesendorfer, 1994. "Voting Behavior and Information Aggregation in Elections with Private Information," Discussion Papers 1117, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Nicola Persico, 2000.
"Information Acquisition in Auctions,"
Econometric Society, vol. 68(1), pages 135-148, January.
- Miklos Sarvary & Philip M. Parker, 1997. "Marketing Information: A Competitive Analysis," Marketing Science, INFORMS, vol. 16(1), pages 24-38.
- James Andreoni & Tymofiy Mylovanov, 2012. "Diverging Opinions," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 209-32, February.
- Dow, James & Gorton, Gary, 1993. "Trading, Communication and the Response of Asset Prices to News," Economic Journal, Royal Economic Society, vol. 103(418), pages 639-46, May.
When requesting a correction, please mention this item's handle: RePEc:cte:werepe:we072111. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.