A simplified analysis of the ascending auction to sell a matroid base

We give a simpler analysis of the ascending auction of Bikhchandani, de Vries, Schummer, and Vohra (OR 2011) to sell a welfare-maximizing base of a matroid at Vickrey prices. The new proofs for economic efficiency and the charge of Vickrey prices only require a few matroid folklore lemmas, therefore shortening the analysis of the design goals of the auction significantly.

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Publication Details

Journal
Operations Research Letters
Published
2025-10-02
DOI
https://doi.org/10.1016/j.orl.2025.107381
Primary Topic
Auction Theory and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

A simplified analysis of the ascending auction to sell a matroid base

Britta Peis, Niklas Rieken
Operations Research Letters
Auction Theory and Applications
article

A simplified analysis of the ascending auction to sell a matroid base

Britta Peis, Niklas Rieken
article en

Abstract

We give a simpler analysis of the ascending auction of Bikhchandani, de Vries, Schummer, and Vohra (OR 2011) to sell a welfare-maximizing base of a matroid at Vickrey prices. The new proofs for economic efficiency and the charge of Vickrey prices only require a few matroid folklore lemmas, therefore shortening the analysis of the design goals of the auction significantly.

Operations Research LettersVol. 64
RWTH Aachen University (DE)
Openalex Percentile: Top 68%
Auction Theory and Applications
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A simplified analysis of the ascending auction to sell a matroid base — Britta Peis, Niklas Rieken · Operations Research Letters (2025) | TGRS Research Map | TGRS