Pricing Strategies for Maximizing Viral Advertising in Social Networks

  • Bolei Zhang
  • Zhuzhong Qian
  • Wenzhong Li
  • Sanglu Lu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9050)

Abstract

Viral advertising in social networks is playing an important role for the promotions of new products, ideas and innovations. It usually starts from a set of initial adopters and spreads via social links to become viral. Given a limited budget, one central problem in studying viral advertising is influence maximization, in which one needs to target a set of initial adopters such that the number of users accepting the advertising afterwards is maximized. To solve this problem, previous works assume that each user has a fixed cost and will spread the advertising as long as the provider offers a benefit that is equal to the cost. However, the assumption is oversimplified and far from real scenarios. In practice, it is crucial for the provider to understand how to incentivize the initial adopters.

In this paper, we propose the use of concave probability functions to model the user valuation for sharing the advertising. Under the new pricing model, we show that it is NP-hard to find the optimal pricing strategy. Due to the hardness, we then propose a discrete greedy pricing strategy which has a constant approximation performance guarantee. We also discuss how to discretize the budget to provide a good trade-off between the performance and the efficiency. Extensive experiments on different data sets are implemented to validate the effectiveness of our algorithm in practice.

Keywords

Viral advertising Influence maximization Social networks 

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References

  1. 1.
    Akhlaghpour, H., Ghodsi, M., Haghpanah, N., Mirrokni, V.S., Mahini, H., Nikzad, A.: Optimal iterative pricing over social networks (extended abstract). In: Saberi, A. (ed.) WINE 2010. LNCS, vol. 6484, pp. 415–423. Springer, Heidelberg (2010) CrossRefGoogle Scholar
  2. 2.
    Anagnostopoulos, A., Kumar, R., Mahdian, M.: Influence and correlation in social networks. In: Proceedings of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 7–15. ACM (2008)Google Scholar
  3. 3.
    Arthur, D., Motwani, R., Sharma, A., Xu, Y.: Pricing strategies for viral marketing on social networks. In: Leonardi, S. (ed.) WINE 2009. LNCS, vol. 5929, pp. 101–112. Springer, Heidelberg (2009) CrossRefGoogle Scholar
  4. 4.
    Bakshy, E., Karrer, B., Adamic, L.A.: Social influence and the diffusion of user-created content. In: Proceedings of the 10th ACM Conference on Electronic Commerce, pp. 325–334. ACM (2009)Google Scholar
  5. 5.
    Candogan, O., Bimpikis, K., Ozdaglar, A.: Optimal pricing in networks with externalities. Operations Research 60(4), 883–905 (2012)CrossRefMATHMathSciNetGoogle Scholar
  6. 6.
    Cha, M., Haddadi, H., Benevenuto, F., Gummadi, P.K.: Measuring user influence in twitter: The million follower fallacy. In: ICWSM 2010, pp. 10–17 (2010)Google Scholar
  7. 7.
    Chen, W., Lu, P., Sun, X., Tang, B., Wang, Y., Zhu, Z.A.: Optimal pricing in social networks with incomplete information. In: Chen, N., Elkind, E., Koutsoupias, E. (eds.) WINE 2011. LNCS, vol. 7090, pp. 49–60. Springer, Heidelberg (2011) CrossRefGoogle Scholar
  8. 8.
    Chen, W., Wang, Y., Yang, S.: Efficient influence maximization in social networks. In: Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 199–208. ACM (2009)Google Scholar
  9. 9.
    Chierichetti, F., Kleinberg, J., Panconesi, A.: How to schedule a cascade in an arbitrary graph. In: Proceedings of the 13th ACM Conference on Electronic Commerce, pp. 355–368. ACM (2012)Google Scholar
  10. 10.
    Demaine, E.D., Hajiaghayi, M., Mahini, H., Malec, D.L., Raghavan, S., Sawant, A., Zadimoghadam, M.: How to influence people with partial incentives. In: Proceedings of the 23rd International Conference on World Wide Web, pp. 937–948. International World Wide Web Conferences Steering Committee (2014)Google Scholar
  11. 11.
    Domingos, P., Richardson, M.: Mining the network value of customers. In: Proceedings of the Seventh ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 57–66. ACM (2001)Google Scholar
  12. 12.
    Hartline, J., Mirrokni, V., Sundararajan, M.: Optimal marketing strategies over social networks. In: Proceedings of the 17th International Conference on World Wide Web, pp. 189–198. ACM (2008)Google Scholar
  13. 13.
    Ioannidis, S., Chaintreau, A., Massoulié, L.: Optimal and scalable distribution of content updates over a mobile social network. In: INFOCOM 2009, pp. 1422–1430. IEEE (2009)Google Scholar
  14. 14.
    Kempe, D., Kleinberg, J., Tardos, É.: Maximizing the spread of influence through a social network. In: Proceedings of the Ninth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 137–146. ACM (2003)Google Scholar
  15. 15.
    Leskovec, J., Krause, A., Guestrin, C., Faloutsos, C., VanBriesen, J., Glance, N.: Cost-effective outbreak detection in networks. In: Proceedings of the 13th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 420–429. ACM (2007)Google Scholar
  16. 16.
    Lin, S., Wang, F., Hu, Q., Yu, P.S.: Extracting social events for learning better information diffusion models. In: Proceedings of the 19th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 365–373. ACM (2013)Google Scholar
  17. 17.
    Marshall, A.: Principles of economics. Digireads. com (2004)Google Scholar
  18. 18.
    Nemhauser, G.L., Wolsey, L.A., Fisher, M.L.: An analysis of approximations for maximizing submodular set functions. Mathematical Programming 14(1), 265–294 (1978)CrossRefMATHMathSciNetGoogle Scholar
  19. 19.
    Richardson, M., Domingos, P.: Mining knowledge-sharing sites for viral marketing. In: Proceedings of the Eighth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 61–70. ACM (2002)Google Scholar
  20. 20.
    Sahni, S.: Computationally related problems. SIAM Journal on Computing 3(4), 262–279 (1974)CrossRefMathSciNetGoogle Scholar
  21. 21.
    Singer, Y.: How to win friends and influence people, truthfully: influence maximization mechanisms for social networks. In: Proceedings of the Fifth ACM International Conference on Web Search and Data Mining, pp. 733–742. ACM (2012)Google Scholar
  22. 22.
    Singer, Y., Mittal, M.: Pricing mechanisms for crowdsourcing markets. In: Proceedings of the 22nd International Conference on World Wide Web, pp. 1157–1166. International World Wide Web Conferences Steering Committee (2013)Google Scholar
  23. 23.
    Vondrak, J.: Optimal approximation for the submodular welfare problem in the value oracle model. In: Proceedings of the 40th Annual ACM Symposium on Theory of Computing, pp. 67–74. ACM (2008)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Bolei Zhang
    • 1
  • Zhuzhong Qian
    • 1
  • Wenzhong Li
    • 1
  • Sanglu Lu
    • 1
  1. 1.State Key Laboratory for Novel Software TechnologyNanjing UniversityNanjingChina

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