Multi-sender cheap talk with restricted state spaces
AbstractThis paper analyzes multi-sender cheap talk when the state space might be restricted, either because the policy space is restricted, or the set of rationalizable policies of the receiver is not the whole space. We provide a necessary and sufficient condition for the existence of a fully revealing perfect Bayesian equilibrium for any state space. We show that if biases are large enough and are not of similar directions, where the notion of similarity depends on the shape of the state space, then there is no fully revealing perfect Bayesian equilibrium. The results suggest that boundedness, as opposed to dimensionality, of the state space plays an important role in determining the qualitative implications of a cheap talk model. We also investigate equilibria that satisfy a robustness property, diagonal continuity.
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Bibliographic InfoArticle provided by Econometric Society in its journal Theoretical Economics.
Volume (Year): 3 (2008)
Issue (Month): 1 (March)
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Web page: http://econtheory.org
Cheap talk; two senders; multidimensional state space;
Other versions of this item:
- Takahashi, Satoru & Ambrus, Attila, 2008. "Multi-Sender Cheap Talk with Restricted State Spaces," Scholarly Articles 3200263, Harvard University Department of Economics.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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