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Multi-Receiver Online Bayesian Persuasion
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use OGD-APO with an approximate projection oracle for submodular sender utilities | Multi-receiver online Bayesian persuasion · Adversarial sequence of receiver type profiles | (1 - 1/e)-regret: R^T_{1-\frac{1}{e}} \leq O \left( \sqrt{T} \, |\mathcal{K}^T| \right) | Helped |
| Use a matroid-based approximate separation oracle for submodular sender utilities | Offline and online multi-receiver Bayesian persuasion · Submodular sender utility | approximation factor: 1-\frac{1}{e} | Helped |
| Require polynomial-time no-α-regret for supermodular sender utilities | Multi-receiver online Bayesian persuasion · Supermodular sender utility | polynomial-time no-α-regret algorithm existence: 0 < \alpha \leq 1 | Hurt |
| Require polynomial-time no-α-regret for anonymous sender utilities | Multi-receiver online Bayesian persuasion · Anonymous sender utility | polynomial-time no-α-regret algorithm existence: 0 < \alpha \leq 1 | Hurt |
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