Multi-sender cheap talk with restricted state spaces

• 成果类型: Article
• 署名作者: Ambrus, Attila; Takahashi, Satoru
• 署名单位: Harvard University; Princeton University
• 刊物名称: THEORETICAL ECONOMICS
• ISSN/ISSBN: 1933-6837
• 发表日期: 2008-03-01
• 页码: 1-27
• 关键词: Cheap talk; multidimension; multi-sender; full revelation

摘要

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 in 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.