For Bayesian persuasion with externalities and agent types, the paper gives polynomial-time LP algorithms for optimal public, semi-private, and private signaling when the deviation coalition size is constant, and NP-hardness when it is not.
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Bayesian Persuasion with Externalities: Exploiting Agent Types
For Bayesian persuasion with externalities and agent types, the paper gives polynomial-time LP algorithms for optimal public, semi-private, and private signaling when the deviation coalition size is constant, and NP-hardness when it is not.