This paper introduces leakage-robust Bayesian persuasion and proves that the price of worst-case robustness is Theta(min{2^k, n}) for supermodular preferences and Theta(k) for submodular preferences, with improved bounds under random leakage models.
Modes of persuasion toward unanimous consent
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Leakage-Robust Bayesian Persuasion
This paper introduces leakage-robust Bayesian persuasion and proves that the price of worst-case robustness is Theta(min{2^k, n}) for supermodular preferences and Theta(k) for submodular preferences, with improved bounds under random leakage models.