Menu mechanisms achieve O(T_γ log T_γ) regret in dynamic pricing with strategic buyers, and indirect learning is equivalent to direct revelation for optimal regret.
Proof.We proceed by induction on the phase numbere
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Learning is Revelation in Disguise: Improved Regret and Equivalence Results for Dynamic Pricing
Menu mechanisms achieve O(T_γ log T_γ) regret in dynamic pricing with strategic buyers, and indirect learning is equivalent to direct revelation for optimal regret.