English

The Price of Anarchy in Large Games

Computer Science and Game Theory 2015-04-06 v2

Abstract

Game-theoretic models relevant for computer science applications usually feature a large number of players. The goal of this paper is to develop an analytical framework for bounding the price of anarchy in such models. We demonstrate the wide applicability of our framework through instantiations for several well-studied models, including simultaneous single-item auctions, greedy combinatorial auctions, and routing games. In all cases, we identify conditions under which the POA of large games is much better than that of worst-case instances. Our results also give new senses in which simple auctions can perform almost as well as optimal ones in realistic settings.

Keywords

Cite

@article{arxiv.1503.04755,
  title  = {The Price of Anarchy in Large Games},
  author = {Michal Feldman and Nicole Immorlica and Brendan Lucier and Tim Roughgarden and Vasilis Syrgkanis},
  journal= {arXiv preprint arXiv:1503.04755},
  year   = {2015}
}