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Selfish Network Creation with Non-uniform Edge Cost

  • Ankit Chauhan
  • Pascal LenznerEmail author
  • Anna Melnichenko
  • Louise Molitor
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10504)

Abstract

Network creation games investigate complex networks from a game-theoretic point of view. Based on the original model by Fabrikant et al. [PODC’03] many variants have been introduced. However, almost all versions have the drawback that edges are treated uniformly, i.e. every edge has the same cost and that this common parameter heavily influences the outcomes and the analysis of these games.

We propose and analyze simple and natural parameter-free network creation games with non-uniform edge cost. Our models are inspired by social networks where the cost of forming a link is proportional to the popularity of the targeted node. Besides results on the complexity of computing a best response and on various properties of the sequential versions, we show that the most general version of our model has constant Price of Anarchy. To the best of our knowledge, this is the first proof of a constant Price of Anarchy for any network creation game.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Ankit Chauhan
    • 1
  • Pascal Lenzner
    • 1
    Email author
  • Anna Melnichenko
    • 1
  • Louise Molitor
    • 1
  1. 1.Algorithm Engineering GroupHasso Plattner InstitutePotsdamGermany

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