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Weakly Consistent Optimal Pricing Algorithms in Repeated Posted-Price Auctions with Strategic Buyer

ICML 2018 · Bandits and online learning › Online convex optimization and games · approach: Learning for pricing and auctions · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Transform PRRFES with pre so offered prices never decreasePRRFES · Repeated posted-price auctions with a strategic buyerstrategic regret growth: \Theta(\log\log T)Helped
Apply prePRRFES to a myopic (truthful) buyer instead of a strategic buyer (ablation)prePRRFES · Repeated posted-price auctions with a myopic buyerregret growth: linear regretHurt
Optimize κ rather than use κ = 1 (ablation)PRRFES · Geometric discounting with γ=0.05regret-bound factor reduction: 33.2%Helped
Optimize κ rather than use κ = 1 (ablation)PRRFES · Geometric discounting with γ=0.25regret-bound factor reduction: 22.9%Helped
Optimize κ rather than use κ = 1 (ablation)PRRFES · Geometric discounting with γ=0.75regret-bound factor reduction: 1.5%Helped
Optimize κ rather than use κ = 1 (ablation)PRRFES · Geometric discounting with γ=0.95regret-bound factor reduction: 2.8%Helped
Optimize κ rather than use κ = 1 (ablation)PRRFES · Geometric discounting with γ=0.99regret-bound factor reduction: 6.3%Helped
Allow a weakly consistent algorithm to decrease prices twice along a path (ablation)Horizon-independent weakly consistent pricing algorithms · Repeated posted-price auctions with a strategic buyerstrategic regret: \Omega(T)Hurt
Use geometrically concave decreasing discount sequences rather than restricting to geometric discountingPRRFES · Repeated posted-price auctions with a strategic buyerstrategic regret growth: \Theta(\log\log T)Helped

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