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Effect of Interaction Mechanisms on Facebook Dynamics Using a Common Knowledge Model

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Complex Networks & Their Applications IX (COMPLEX NETWORKS 2020 2020)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 943))

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Abstract

Web-based interactions allow agents to coordinate and to take actions (change state) jointly, i.e., to participate in collective action such as a protest, facilitating spread of contagion to large groups within networked populations. In game theoretic contexts, coordination requires that agents share common knowledge about each other. Common knowledge emerges within a group when each member knows the states and the types (preferences) of the other members, and critically, each member knows that everyone else has this information. Hence, these models of common knowledge and coordination on communication networks are fundamentally different from influence-based unilateral contagion models, such as those devised by Granovetter and Centola. Common knowledge arises in many settings in practice, yet there are few operational models that can be used to compute contagion dynamics. Moreover, these models utilize different mechanisms for driving contagion. We evaluate the three mechanisms of a common knowledge model that can represent web-based communication among groups of people on Facebook. We evaluate these mechanisms on five social (media) networks with wide-ranging properties. We demonstrate that different mechanisms can produce widely varying behaviors in terms of the extent of contagion spreading and the speed of contagion transmission.

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Acknowledgments

We thank the anonymous reviewers for their helpful comments. This material is based upon work supported by the National Science Foundation (NSF IIS-1908530, NSF OAC-1916805, and NSF CRISP 2.0 Grant 1832587) and the Air Force Office of Scientific Research under award number FA9550-17-1-0378. Any opinions, finding, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the United States Air Force.

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Correspondence to Chris J. Kuhlman .

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Kuhlman, C.J., Korkmaz, G., Ravi, S.S., Vega-Redondo, F. (2021). Effect of Interaction Mechanisms on Facebook Dynamics Using a Common Knowledge Model. In: Benito, R.M., Cherifi, C., Cherifi, H., Moro, E., Rocha, L.M., Sales-Pardo, M. (eds) Complex Networks & Their Applications IX. COMPLEX NETWORKS 2020 2020. Studies in Computational Intelligence, vol 943. Springer, Cham. https://doi.org/10.1007/978-3-030-65347-7_33

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  • DOI: https://doi.org/10.1007/978-3-030-65347-7_33

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