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Influence Maximization for Informed Agents in Collective Behavior

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Distributed Autonomous Robotic Systems

Part of the book series: Springer Tracts in Advanced Robotics ((STAR,volume 83))

Abstract

Control of collective behavior is an active topic in biology, social, and computer science. In this work we investigate how a minority of informed agents can influence and control the whole society through local interactions. The problem we specifically target is that a minority of people with a bounded budget for initiating new social relations attempt to control the collective behavior of a society and move the crowd toward a specific goal. Assuming that local interactions can only take place between friends, the minority has to initiate some new relations with the majority. The total cost of new relations is limited to a budget. The problem is then finding the optimal links in order to gain maximum impact on the society. We will model the problem as a diffusion process in a social network. The proof of NP-hardness of the problem for Local Interaction Game model of diffusion is presented. Simulations show that the proposed method surpasses the popular strategies based on degree and distance centrality in performance.

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References

  1. Sobkowicz, P.: Modeling Opinion Formation with Physics Tools: Call for Closer Link with Reality. In: JASSS (2009)

    Google Scholar 

  2. Jurvetson, S.: What Exactly Is Viral Marketing? Red Herring, 110–111 (2000)

    Google Scholar 

  3. Leskovec, J., Adamic, L.A., Huberman, B.A.: The Dynamics of Viral Marketing. In: Proc. of the 7th ACM Conf. on Electronic Commerce, pp. 228–237. ACM, Ann Arbor (2006)

    Google Scholar 

  4. Borgatti, S.P.: Identifying Sets of Key Players in a Social Network. Comput. Math. Organ. Theory 12, 21–34 (2006)

    Article  MATH  Google Scholar 

  5. Valente, T.W., Davis, R.L.: Accelerating the Diffusion of Innovations Using Opinion Leaders. The Annals of the American Academy of Political and Social Science 566, 55–67 (1999)

    Article  Google Scholar 

  6. Lazarsfeld, P.F., Berelson, B., Gaudet, H.: The People’s Choice: How the Voter Makes up His Mind in a Presidential Campaign. Columbia University Press (1944)

    Google Scholar 

  7. Kempe, D., Kleinberg, J., Tardos, É.: Maximizing the Spread of Influence through a Social Network. In: Proc. of the 9th ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, pp. 137–146. ACM, Washington, D.C (2003)

    Chapter  Google Scholar 

  8. Even-Dar, E., Shapira, A.: A Note on Maximizing the Spread of Influence in Social Networks. In: Deng, X., Graham, F.C. (eds.) WINE 2007. LNCS, vol. 4858, pp. 281–286. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Couzin, I.D., Krause, J., Franks, N.R., Levin, S.A.: Effective Leadership and Decision-making in Animal Groups on the Move. Nature 433, 513–516 (2005)

    Article  Google Scholar 

  10. Caprari, G., Colot, A., Halloy, J., Deneubourg, J.L.: Building Mixed Societies of Animals and Robots. IEEE Robotics & Automation Magazine 12, 58–65 (2005)

    Article  Google Scholar 

  11. Granovetter, M.: Threshold Models of Collective Behavior. The American Journal of Sociology 83, 1420–1443 (1978)

    Article  Google Scholar 

  12. Durrett, R.: Lecture Notes on Particle Systems and Percolation. Brooks/Cole Pub. Co. (1988)

    Google Scholar 

  13. Morris, S.: Contagion. Review of Economic Studies 67, 57–78 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  14. Easley, D., Kleinberg, J.: Networks, Crowds, and Markets: Reasoning About a Highly Connected World. Cambridge University Press (2010)

    Google Scholar 

  15. Wolsey, L.A., Fisher, M.L., Nemhauser, G.: An Analysis of Approximations for Maximizing Submodular Set Functions-I. Mathematical Programming 14, 265–294 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  16. Krause, A.: Near-optimal Observation Selection Using Submodular Functions. In: AAAI NECTAR (2007)

    Google Scholar 

  17. Khuller, S., Moss, A., Naor, J.: The Budgeted Maximum Coverage Problem. Inf. Process. Lett. 70, 39–45 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  18. Krause, A., Guestrin, C.: A Note on the Budgeted Maximization of Submodular Functions. pp. 05–103 (2005)

    Google Scholar 

  19. Leskovec, J., Krause, A., Guestrin, C., Faloutsos, C., VanBriesen, J., Glance, N.: Cost-effective Outbreak Detection in Networks. In: Proc. of the 13th ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, pp. 420–429. ACM, San Jose (2007)

    Chapter  Google Scholar 

  20. Erdos, P., Renyi, A.: On the Evolution of Random Graphs. Publ. Math. Inst. Hung. Acad. Sci. 5, 17–61 (1960)

    MathSciNet  Google Scholar 

  21. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.: Complex Networks: Structure and Dynamics. Physics Reports 424, 175–308 (2006)

    Article  MathSciNet  Google Scholar 

  22. Barabási, A., Albert, R.: Emergence of Scaling in Random Networks. Science 286, 509–512 (1999)

    Article  MathSciNet  Google Scholar 

  23. Watts, D.J., Strogatz, S.H.: Collective Dynamics of “Small-World” Networks. Nature 393, 440–442 (1998)

    Article  Google Scholar 

  24. Chen, W., Yuan, Y., Zhang, L.: Scalable Influence Maximization in Social Networks under the Linear Threshold Model. In: IEEE International Conference on Data Mining, ICDM (2010)

    Google Scholar 

  25. Chen, W., Wang, C., Wang, Y.: Scalable Influence Maximization for Prevalent Viral Marketing in Large-scale Social Networks. In: Proceedings of the 16th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining - KDD 2010, Washington, DC, USA, p. 1029 (2010)

    Google Scholar 

  26. Bharathi, S., Kempe, D., Salek, M.: Competitive Influence Maximization in Social Networks. In: Deng, X., Graham, F.C. (eds.) WINE 2007. LNCS, vol. 4858, pp. 306–311. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  27. Pathak, N., Banerjee, A., Srivastava, J.: A Generalized Linear Threshold Model for Multiple Cascades. In: IEEE International Conference on Data Mining, ICDM (2010)

    Google Scholar 

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Correspondence to Amir Asiaee Taheri .

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Asiaee Taheri, A., Afshar, M., Asadpour, M. (2013). Influence Maximization for Informed Agents in Collective Behavior. In: Martinoli, A., et al. Distributed Autonomous Robotic Systems. Springer Tracts in Advanced Robotics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32723-0_28

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  • DOI: https://doi.org/10.1007/978-3-642-32723-0_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32722-3

  • Online ISBN: 978-3-642-32723-0

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