Improved bounds on the price of stability in network cost sharing games

Euiwoong Lee, Katrina Ligett

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

22 Scopus citations

Abstract

We study the price of stability in undirected network design games with fair cost sharing. Our work provides multiple new pieces of evidence that the true price of stability, at least for special subclasses of games, may be a constant. We make progress on this long-outstanding problem, giving a bound of O(log log log n) on the price of stability of undirected broadcast games (where n is the number of players). This is the first progress on the upper bound for this problem since the O(log log n) bound of [Fiat et al. 2006] (despite much attention, the known lower bound remains at 1.818, from [Bilo et al. 2010]). Our proofs introduce several new techniques that may be useful in future work. We provide further support for the conjectured constant price of stability in the form of a comprehensive analysis of an alternative solution concept that forces deviating players to bear the entire costs of building alternative paths. This solution concept includes all Nash equilibria and can be viewed as a relaxation thereof, but we show that it preserves many properties of Nash equilibria. We prove that the price of stability in multicast games for this relaxed solution concept is Θ(1), which may suggest that similar results should hold for Nash equilibria. This result also demonstrates that the existing techniques for lower bounds on the Nash price of stability in undirected network design games cannot be extended to be super-constant, as our relaxation concept encompasses all equilibria constructed in them.

Original languageAmerican English
Title of host publicationEC 2013 - Proceedings of the 14th ACM Conference on Electronic Commerce
PublisherAssociation for Computing Machinery
Pages607-619
Number of pages13
ISBN (Print)9781450319621
DOIs
StatePublished - 2013
Externally publishedYes
Event14th ACM Conference on Electronic Commerce, EC 2013 - Philadelphia, PA, United States
Duration: 16 Jun 201320 Jun 2013

Publication series

NameProceedings of the ACM Conference on Electronic Commerce

Conference

Conference14th ACM Conference on Electronic Commerce, EC 2013
Country/TerritoryUnited States
CityPhiladelphia, PA
Period16/06/1320/06/13

Keywords

  • Network design
  • Price of stability

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