Threshold Models for Competitive Influence in Social Networks

  • Allan Borodin
  • Yuval Filmus
  • Joel Oren
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6484)


The problem of influence maximization deals with choosing the optimal set of nodes in a social network so as to maximize the resulting spread of a technology (opinion, product-ownership, etc.), given a model of diffusion of influence in a network. A natural extension is a competitive setting, in which the goal is to maximize the spread of our technology in the presence of one or more competitors.

We suggest several natural extensions to the well-studied linear threshold model, showing that the original greedy approach cannot be used.

Furthermore, we show that for a broad family of competitive influence models, it is NP-hard to achieve an approximation that is better than a square root of the optimal solution; the same proof can also be applied to give a negative result for a conjecture in [2] about a general cascade model for competitive diffusion.

Finally, we suggest a natural model that is amenable to the greedy approach.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Allan Borodin
    • 1
  • Yuval Filmus
    • 1
  • Joel Oren
    • 1
  1. 1.Department of Computer ScienceUniversity of TorontoCanada

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