Threshold Models for Competitive Influence in Social Networks
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  about a general cascade model for competitive diffusion.
Finally, we suggest a natural model that is amenable to the greedy approach.
- Bharathi, S., Kempe, D., Salek, M. (2007) Competitive influence maximization in social networks. Internet and Network Economics. Springer, Heidelberg, pp. 306-311 CrossRef
- Carnes, T., Nagarajan, C., Wild, S.M., van Zuylen, A.: Maximizing influence in a competitive social network: a follower’s perspective. In: ICEC 2007: Proceedings of the Ninth International Conference on Electronic Commerce, pp. 351–360. ACM, New York (2007)
- Domingos, P., Richardson, M.: Mining the network value of customers. In: KDD 2001: Proceedings of the seventh ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 57–66. ACM Press, New York (2001)
- Nemhauser, M.F.G., Wolsey, L. (1978) An analysis of the approximations for maximizing submodular set functions. Mathematical Programming, 14: pp. 265-294 CrossRef
- Brown, P.R.J. (1987) Social ties and word-of-mouth referral behavior. Journal of Consumer Research 14: pp. 350-362 CrossRef
- Kempe, D., Kleinberg, J., Tardos, E.: Maximizing the spread of influence through a social network. In: KDD 2003: Proceedings of the Ninth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 137–146. ACM, New York (2003)
- Kostka, J., Oswald, Y.A., Wattenhofer, R. Word of mouth: Rumor dissemination in social networks. In: Shvartsman, A.A., Felber, P. eds. (2008) Structural Information and Communication Complexity. Springer, Heidelberg, pp. 185-196 CrossRef
- Mossel, E., Roch, S. (2010) Submodularity of influence in social networks: From local to global. SIAM J. Comput. 39: pp. 2176-2188 CrossRef
- Threshold Models for Competitive Influence in Social Networks
- Book Title
- Internet and Network Economics
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- 6th International Workshop, WINE 2010, Stanford, CA, USA, December 13-17, 2010. Proceedings
- pp 539-550
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- Lecture Notes in Computer Science
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- Springer Berlin Heidelberg
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- Springer Berlin Heidelberg
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