Revenue Guarantees in Autobidding Platforms

Fuente: arXiv
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Autores principales: Caragiannis, Ioannis, Ipsen, Anders Bo, Skoulakis, Stratis
Formato: Preprint
Publicado: 2026
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author Caragiannis, Ioannis
Ipsen, Anders Bo
Skoulakis, Stratis
author_facet Caragiannis, Ioannis
Ipsen, Anders Bo
Skoulakis, Stratis
contents Motivated by autobidding systems in online advertising, we study revenue maximization in markets with divisible goods and budget-constrained buyers with linear valuations. Our aim is to compute a single price for each good and an allocation that maximizes total revenue. We show that the First-Price Pacing Equilibrium (FPPE) guarantees at least half of the optimal revenue, even when compared to the maximal revenue of buyer-specific prices. This guarantee is particularly striking in light of our hardness result: we prove that revenue maximization under individual rationality and single-price-per-good constraints is APX-hard. We further extend our analysis in two directions: first, we introduce an online analogue of FPPE and show that it achieves a constant-factor revenue guarantee, specifically a $1/4$-approximation; second, we consider buyers with concave valuation functions, characterizing an FPPE-type outcome as the solution to an Eisenberg-Gale-style convex program and showing that the revenue approximation degrades gracefully with the degree of nonlinearity of the valuations.
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id arxiv_https___arxiv_org_abs_2602_14815
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Revenue Guarantees in Autobidding Platforms
Caragiannis, Ioannis
Ipsen, Anders Bo
Skoulakis, Stratis
Computer Science and Game Theory
Motivated by autobidding systems in online advertising, we study revenue maximization in markets with divisible goods and budget-constrained buyers with linear valuations. Our aim is to compute a single price for each good and an allocation that maximizes total revenue. We show that the First-Price Pacing Equilibrium (FPPE) guarantees at least half of the optimal revenue, even when compared to the maximal revenue of buyer-specific prices. This guarantee is particularly striking in light of our hardness result: we prove that revenue maximization under individual rationality and single-price-per-good constraints is APX-hard. We further extend our analysis in two directions: first, we introduce an online analogue of FPPE and show that it achieves a constant-factor revenue guarantee, specifically a $1/4$-approximation; second, we consider buyers with concave valuation functions, characterizing an FPPE-type outcome as the solution to an Eisenberg-Gale-style convex program and showing that the revenue approximation degrades gracefully with the degree of nonlinearity of the valuations.
title Revenue Guarantees in Autobidding Platforms
topic Computer Science and Game Theory
url https://arxiv.org/abs/2602.14815