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Leveraging the Hints: Adaptive Bidding in Repeated First-Price Auctions

NeurIPS 2022 · Bandits and online learning › Online convex optimization and games · approach: Learning for pricing and auctions · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Provide the hint's accuracy interval in addition to its point predictionRepeated first-price auction bidding with fixed private values · Fixed private value, L in [1, T]minimax regret: C \sqrt{ \log T \cdot T^{\frac{1}{q+1}}\cdot L^{\frac{q}{q+1}}} vs. C \left(\log T\right)^{\frac{1}{2}} \left( T\cdot L Helped
Use hint intervals rather than no hintsBinned exponential weighting on real-world auction data · Real-world auction data, private-value binscumulative reward improvement: 3.55%Helped
Use single point hints rather than no hintsBinned exponential weighting on real-world auction data · Real-world auction data, private-value binscumulative reward improvement: 2.96%Helped
Use hint intervals instead of single hintsRepeated first-price auction bidding · Varying private valuesminimax regret: \widetilde{\Theta}\left(\min \left\{T^{\frac{1}{q+1}} L^{\frac{q}{q+1}}, \sqrt{T}\right\}\right) vs. \widetilde{\Theta}\Helped
Exploit that competing bids have only K support valuesRepeated first-price auctions with hint intervals · K-supported competing bidsregret: O\left(\min \left\{\sqrt{\log T \cdot T^{\frac{1}{q+1}}\cdot L^{\frac{q}{q+1}} \cdot K}, T^{\frac{1}{q+1}}\cdot L^{\fracHelped
Use single hints when private values varyRepeated first-price auctions · Varying private valuesminimax regret: \widetilde{\Theta}\left(\sqrt{T}\right)No clear effect
Make the meta algorithm adaptive to unknown L and KMeta-Expert Learning Algorithm · K-supported competing bids with hint intervalsregret upper bound: O\left(\sqrt{\log T\cdot 2K \cdot T^{\frac{1}{q+1}}\cdot L^{\frac{q}{q+1}}}\right)Helped

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