English

The Price of Anarchy of Two-Buyer Sequential Multiunit Auctions

Computer Science and Game Theory 2020-07-21 v1

Abstract

We study the efficiency of sequential multiunit auctions with two-buyers and complete information. For general valuation functions, we show that the price of anarchy is exactly 1/T1/T for auctions with TT items for sale. For concave valuation functions, we show that the price of anarchy is bounded below by 11/e0.6321-1/e\simeq 0.632. This bound is asymptotically tight as the number of items sold tends to infinity.

Keywords

Cite

@article{arxiv.2007.10131,
  title  = {The Price of Anarchy of Two-Buyer Sequential Multiunit Auctions},
  author = {Mete Şeref Ahunbay and Adrian Vetta},
  journal= {arXiv preprint arXiv:2007.10131},
  year   = {2020}
}

Comments

20 pages, 1 figure