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On the tree conjecture for the network creation game

  • Selfish Network Creation focuses on modeling real world networks from a game-theoretic point of view. One of the classic models by Fabrikant et al.[PODC'03] is the network creation game, where agents correspond to nodes in a network which buy incident edges for the price of alpha per edge to minimize their total distance to all other nodes. The model is well-studied but still has intriguing open problems. The most famous conjectures state that the price of anarchy is constant for all alpha and that for alpha >= n all equilibrium networks are trees. We introduce a novel technique for analyzing stable networks for high edge-price alpha and employ it to improve on the best known bounds for both conjectures. In particular we show that for alpha > 4n-13 all equilibrium networks must be trees, which implies a constant price of anarchy for this range of alpha. Moreover, we also improve the constant upper bound on the price of anarchy for equilibrium trees.

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Metadaten
Author:Davide Bilò, Pascal LenznerORCiDGND
URN:urn:nbn:de:bvb:384-opus4-1152445
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/115244
ISBN:978-3-95977-062-0OPAC
Parent Title (English):35th Symposium on Theoretical Aspects of Computer Science (STACS 2018), February 28 to March 3, 2018, Caen, France
Publisher:Schloss Dagstuhl – Leibniz-Zentrum für Informatik
Place of publication:Dagstuhl
Editor:Rolf Niedermeier, Brigitte Vallée
Type:Conference Proceeding
Language:English
Date of Publication (online):2024/09/06
Year of first Publication:2018
Publishing Institution:Universität Augsburg
Release Date:2024/09/06
First Page:14:1
Last Page:14:15
Series:Leibniz International Proceedings in Informatics (LIPIcs) ; 96
DOI:https://doi.org/10.4230/LIPIcs.STACS.2018.14
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Fakultät für Angewandte Informatik / Institut für Informatik / Lehrstuhl für Theoretische Informatik
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik
Licence (German):CC-BY 3.0: Creative Commons - Namensnennung (mit Print on Demand)