When are Signals Complements or Substitutes
AbstractThe 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 setting with a binary state space and binary signals, we find an explicit characterization that permits an intuitive interpretation of complementarity and substitutability. We demonstrate how these conditions extend to more general settings.
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Bibliographic InfoPaper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1488.
Date of creation: 11 Apr 2010
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Other versions of this item:
- Tilman Borgers & Angel Hernando-Veciana & Daniel Krahmer, 2007. "When are signals complements or substitutes?," Economics Working Papers we072111, Universidad Carlos III, Departamento de Economía.
- Börgers, Tilman & Hernando-Veciana, Angel & Krähmer, Daniel, 2010. "When are Signals Complements or Substitutes?," MPRA Paper 29124, University Library of Munich, Germany.
- C00 - Mathematical and Quantitative Methods - - General - - - General
- C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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