Constant Inapproximability of Pacing Equilibria in Second-Price Auctions

Fuente: arXiv
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Auteurs principaux: Chen, Xi, Li, Yuhao
Format: Preprint
Publié: 2025
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author Chen, Xi
Li, Yuhao
author_facet Chen, Xi
Li, Yuhao
contents In this paper, we revisit the problem of approximating a pacing equilibrium in second-price auctions, introduced by Conitzer, Kroer, Sodomka, and Moses [Oper. Res. 2022]. We show that finding a constant-factor approximation of a pacing equilibrium is PPAD-hard, thereby strengthening previous results of Chen, Kroer, and Kumar [Math. Oper. Res. 2024], which established PPAD-hardness only for inverse-polynomial approximations.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15295
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Constant Inapproximability of Pacing Equilibria in Second-Price Auctions
Chen, Xi
Li, Yuhao
Computer Science and Game Theory
Computational Complexity
In this paper, we revisit the problem of approximating a pacing equilibrium in second-price auctions, introduced by Conitzer, Kroer, Sodomka, and Moses [Oper. Res. 2022]. We show that finding a constant-factor approximation of a pacing equilibrium is PPAD-hard, thereby strengthening previous results of Chen, Kroer, and Kumar [Math. Oper. Res. 2024], which established PPAD-hardness only for inverse-polynomial approximations.
title Constant Inapproximability of Pacing Equilibria in Second-Price Auctions
topic Computer Science and Game Theory
Computational Complexity
url https://arxiv.org/abs/2501.15295