A Two-Tiered Formalization of Social Influence

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8196)


We propose a new dynamic hybrid logic to reason about social networks and their dynamics building on the work of “Logic in the Community” by Seligman, Liu and Girard. Our framework distinguishes between the purely private sphere of agents, namely their mental states, and the public sphere of their observable behavior, i.e., what they seem to believe. We then show how such a distinction allows our framework to model many social phenomena, by presenting the case of pluralistic ignorance as an example and discussing some of its dynamic properties.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    van Benthem, J.: Logical Dynamics of Information and Interaction. Cambridge University Press, The Netherlands (2011)CrossRefzbMATHGoogle Scholar
  2. 2.
    Easley, D., Kleinberg, J.: Networks, Crowds, and Markets: Reasoning About a Highly Connected World. Cambridge University Press, New York (2010)CrossRefGoogle Scholar
  3. 3.
    Jackson, M.O.: Social and Economic Networks. Princeton University Press (2010)Google Scholar
  4. 4.
    Seligman, J., Liu, F., Girard, P.: Logic in the community. In: Banerjee, M., Seth, A. (eds.) ICLA 2011. LNCS (LNAI), vol. 6521, pp. 178–188. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  5. 5.
    Zhen, L., Seligman, J.: A logical model of the dynamics of peer pressure. Electronic Notes in Theoretical Computer Science 278, 275–288 (2011)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Seligman, J., Girard, P., Liu, F.: Logical dynamics of belief change in the community. Under Submission (2013)Google Scholar
  7. 7.
    Girard, P., Seligman, J., Liu, F.: General dynamic dynamic logic. In: Bolander, T., Brauner, T., Ghilardi, S., Moss, L. (eds.) Advances in Modal Logic, vol. 9, pp. 239–260. College Publication (2012)Google Scholar
  8. 8.
    Seligman, J., Girard, P.: Facebook and the epistemic logic of friendship Extended AbstractGoogle Scholar
  9. 9.
    Alchourrn, C.E., Gärdenfors, P., Makinson, D.: On the logic of theory change: Partial meet contraction and revision functions. Journal of Symbolic Logic 50(2), 510–530 (1985)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Schelling, T.C.: Micromotives and Macrobehavior. W. W. Norton and Company (1978)Google Scholar
  11. 11.
    O’Gorman, H.J.: The discovery of pluralistic ignorance: An ironic lesson. Journal of the History of the Behavioral Science 22, 333–347 (1986)CrossRefGoogle Scholar
  12. 12.
    Miller, D.T., McFarland, C.: Pluralistic ignorance; when similarity is interpreted as dissimilarity. Journal of Personality and Social Psychology 53, 298–305 (1987)CrossRefGoogle Scholar
  13. 13.
    Prentice, D.A., Miller, D.T.: Pluralistic ignorance and alcohol use on campus: Some consequences of misperceiving the social norm. Journal of Personality and Social Psychology 64(2), 243–256 (1993)CrossRefGoogle Scholar
  14. 14.
    Fields, J.M., Schuman, H.: Public beliefs about the beliefs of the public. The Public Opinion Quarterly 40(4), 427–448 (1976)CrossRefGoogle Scholar
  15. 15.
    O’Gorman, H.J., Garry, S.L.: Pluralistic ignorance – a replication and extension. The Public Opinion Quarterly 40(4), 449–458 (1976)CrossRefGoogle Scholar
  16. 16.
    Krech, D., Crutchfield, R.S.: Theories and Problems of Social Psychology. McGraw-Hill, New York (1948)CrossRefGoogle Scholar
  17. 17.
    Halbesleben, J.R.B., Buckley, M.R.: Pluralistic ignorance: historical development and organizational applications. Management Decision 42(1), 126–138 (2004)CrossRefGoogle Scholar
  18. 18.
    Miller, D.T., McFarland, C.: When social comparison goes awry: The case of pluralistic ignorance. In: Suls, J., Wills, T. (eds.) Social Comparison: Contemporary Theory and Research, pp. 287–313. Erlbaum, Hillsdale (1991)Google Scholar
  19. 19.
    Bjerring, J.C., Hansen, J.U., Pedersen, N.J.L.L.: On the rationality of pluralistic ignorance. Synthese (to appear)Google Scholar
  20. 20.
    Areces, C., ten Cate, B.: Hybrid logics. In: Blackburn, P., van Benthem, J., Wolter, F. (eds.) Handbook of Modal Logic, pp. 821–868. Elsevier, Amsterdam (2007)CrossRefGoogle Scholar
  21. 21.
    Baltag, A., Moss, L.S., Solecki, S.: The logic of public announcements, common knowledge and private suspicious. Technical Report SEN-R9922, CWI, Amsterdam (1999)Google Scholar
  22. 22.
    van Ditmarsch, H., van der Hoek, W., Kooi, B.: Dynamic Epistemic Logic. Syntese Library, vol. 337. Springer, The Netherlands (2008)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institute for Logic, Language and ComputationUniversity of AmsterdamThe Netherlands
  2. 2.Department of PhilosophyLund UniversitySweden

Personalised recommendations