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