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Multi-Sender Cheap Talk with Restricted State Spaces

  • Takahashi, Satoru
  • Ambrus, Attila

This 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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File URL: http://dash.harvard.edu/bitstream/handle/1/3200263/ambrus_multi-sender.PDF
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Paper provided by Harvard University Department of Economics in its series Scholarly Articles with number 3200263.

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Date of creation: 2008
Date of revision:
Publication status: Published in Theoretical Economics
Handle: RePEc:hrv:faseco:3200263
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