English

A Simplified Analysis of the Ascending Auction to Sell a Matroid Base

Computer Science and Game Theory 2024-11-26 v2

Abstract

We give a simpler analysis of the ascending auction of Bikhchandani, de Vries, Schummer, and Vohra 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 theorems, therefore shortening the analysis of the design goals of the auction significantly.

Keywords

Cite

@article{arxiv.2404.12121,
  title  = {A Simplified Analysis of the Ascending Auction to Sell a Matroid Base},
  author = {Britta Peis and Niklas Rieken},
  journal= {arXiv preprint arXiv:2404.12121},
  year   = {2024}
}