{ "schema_version": 1, "title": "Repro: The (Marginal) Value of a Search Ad — Repeated Second-price Auctions", "emoji": "chart", "space_id": "snaykey/repro-spa-binary-feedback", "paper": { "openreview_id": "UflglraWRa" }, "tags": [ "icml2026-repro", "paper-UflglraWRa" ], "updated_at": "2026-07-25T22:40:00+00:00", "root": { "slug": "index", "title": "Repro: The (Marginal) Value of a Search Ad — Repeated Second-price Auctions", "file": "pages/index.md", "children": [ { "slug": "executive-summary", "title": "Executive summary", "file": "pages/executive-summary/page.md", "children": [] }, { "slug": "claim-1-thm1-spa-binary-regret", "title": "Under binary feedback, the proposed algorithm for repeated second-price auctions achieves regret O(√(dT) log³T + d log⁵T), where d is the feature dimension and T the horizon (Theorem 1).", "file": "pages/claim-1-thm1-spa-binary-regret/page.md", "children": [] }, { "slug": "claim-2-thm2-lower-bound", "title": "A matching minimax lower bound of Ω(√(dT)) holds for T ≥ d², even when the bidder has perfect knowledge of the competing-bid CDF (Theorem 2).", "file": "pages/claim-2-thm2-lower-bound/page.md", "children": [] }, { "slug": "claim-3-spa-vs-fpa-binary", "title": "Under binary feedback, second-price auctions admit Õ(√(dT)) regret while first-price auctions are limited to Õ(T^(2/3)) regret, showing the payment rule strictly improves achievable regret (Section on regret comparison).", "file": "pages/claim-3-spa-vs-fpa-binary/page.md", "children": [] }, { "slug": "claim-4-full-info-both-sqrt", "title": "Under full-information feedback, both second-price and first-price auctions achieve the same Õ(√(dT)) regret rate, so the SPA advantage is specific to the binary-feedback setting (Section on regret comparison).", "file": "pages/claim-4-full-info-both-sqrt/page.md", "children": [] }, { "slug": "claim-5-interval-splitting-hob", "title": "Section 3 introduces an interval-splitting technique to estimate the highest-other-bid (HOB) directly from the observed payment in a won second-price auction (Section 3).", "file": "pages/claim-5-interval-splitting-hob/page.md", "children": [] }, { "slug": "conclusion", "title": "Conclusion", "file": "pages/conclusion/page.md", "children": [] } ] } }