Influence, inertia, and independence: a diffusion model for temporal social networks

References

• American Psychological Association. (2023). APA Dictionary of Psychology. Retrieved February 08, 2023, from https://dictionary.apa.org/independence
   Google Scholar
• Asch, S. E. (1956). Studies of independence and conformity: I. A minority of one against a unanimous majority. Psychological Monographs: General & Applied, 70(9), 1–70. https://doi.org/10.1037/h0093718
   Google Scholar
• Bandura, A. (1977). Social learning theory. Prentice Hall.
   Google Scholar
• Bapat, R. B., & Raghavan, T. E. S. (1997). Nonnegative matrices and applications. Cambridge University Press.
   Google Scholar
• Chatterjee, S., & Seneta, E. (1977). Towards consensus: Some convergence theorems on repeated averaging. Journal of Applied Probability, 14(1), 89–97. https://doi.org/10.2307/3213262
   Web of Science ®Google Scholar
• Coleman, J., Katz, E., & Menzel, H. (1957). The diffusion of an innovation among physicians. Sociometry, 20(4), 253. https://doi.org/10.2307/2785979
   Google Scholar
• Degroot, M. H. (1974). Reaching a consensus. Journal of the American Statistical Association, 69(345), 118–121. https://doi.org/10.1080/01621459.1974.10480137
   Web of Science ®Google Scholar
• Demarzo, P. M., Vayanos, D., & Zwiebel, J. (2003). Persuasion bias, social influence, and unidimensional opinions. Quaterly Journal of Economics, 60. https://doi.org/10.1162/00335530360698469
   Web of Science ®Google Scholar
• Festinger, L. (1957). A theory of cognitive dissonance. Stanford University Press.
   Google Scholar
• Flache, A., Mäs, M., Feliciani, T., Chattoe-Brown, E., Deffuant, G., Huet, S., & Lorenz, J. (2017). Models of social influence: Towards the next frontiers. Journal of Artificial Societies and Social Simulation, 20(4), 2. https://doi.org/10.18564/jasss.3521
   Web of Science ®Google Scholar
• French, J. R. P. (1956). A formal theory of social power. Psychological Review, 63(3), 181–194. https://doi.org/10.1037/h0046123
   PubMed Web of Science ®Google Scholar
• French, J. R. P., & Raven, B. (1959). The bases of social power. In D. Cartwright (Ed.), Studies in social power (5. printing ed., pp. 150–167). Ann Arbor/Mich: The Univ. of Michigan.
   Google Scholar
• Friedkin, N. E. (1991). Theoretical foundations for centrality measures. American Journal of Sociology, 96(6), 1478–1504. https://doi.org/10.1086/229694
   Web of Science ®Google Scholar
• Friedkin, N. E. (2011). A formal theory of reflected appraisals in the evolution of power. Administrative Science Quarterly, 56(4), 501–529. https://doi.org/10.1177/0001839212441349
   Web of Science ®Google Scholar
• Friedkin, N. E., & Johnsen, E. C. (1990). Social influence and opinions. The Journal of Mathematical Sociology, 15(3–4), 193–206. https://doi.org/10.1080/0022250X.1990.9990069
   Web of Science ®Google Scholar
• Friedkin, N. E., & Johnsen, E. C. (1999). Social influence networks and opinion change. In E. J. Lawler, & M. W. Macy (Eds.), Advances in group processes (Vol. 16, pp. 1–29). Jai Press.
   Google Scholar
• Gross, T., & Blasius, B. (2008). Adaptive coevolutionary networks: A review. Journal of the Royal Society Interface, 5(20), 259–271. https://doi.org/10.1098/rsif.2007.1229
   PubMed Web of Science ®Google Scholar
• Harary, F. (1959). A criterion for unanimity in French’s theory of social power. In D. Cartwright (Ed.), Studies in social power (pp. 168–182). University of Michigan.
   Google Scholar
• Holme, P. (2015,). Modern temporal network theory: A colloquium. The European Physical Journal B, 88(9), 234. https://doi.org/10.1140/epjb/e2015-60657-4
   Web of Science ®Google Scholar
• Holme, P., & Saramäki, J. (2012). Temporal networks. Physics Reports, 519(3), 97–125. https://doi.org/10.1016/j.physrep.2012.03.001
   Web of Science ®Google Scholar
• Jia, P., Friedkin, N. E., & Bullo, F. (2020). Opinion Dynamics and social power evolution: A single timescale model. IEEE Transactions on Control of Network Systems, 7(2), 899–911. https://doi.org/10.1109/TCNS.2019.2951672
   Web of Science ®Google Scholar
• Jia, P., MirTabatabaei, A., Friedkin, N. E., & Bullo, F. (2015). Opinion dynamics and the evolution of social power in influence networks. SIAM Review, 57(3), 367–397. https://doi.org/10.1137/130913250
   Web of Science ®Google Scholar
• Katz, E., & Lazarsfeld, P. F. (2017). Personal Influence: The Part Played by People in the Flow of Mass Communications (1st ed.). Routledge.
   Google Scholar
• Marmulla, G., Dickson, G., Wäsche, H., & Brandes, U. (2023). Coaching legacies: Influence propagation through temporal social networks in the Australian Football League. Frontiers in Sports and Active Living, 5, 1172264. https://doi.org/10.3389/fspor.2023.1172264
   PubMedGoogle Scholar
• Mason, W. A., Conrey, F. R., & Smith, E. R. (2007). Situating social influence processes: Dynamic, multidirectional flows of influence within social networks. Personality and Social Psychology Review, 11(3), 279–300. https://doi.org/10.1177/1088868307301032
   PubMed Web of Science ®Google Scholar
• Newcomb, T. M. (1951). Social psychological theory: Integrating individual and social approaches. In J. H. Rohrer & M. Sherif (Eds.), Social psychology at the crossroads; the University of Oklahoma lectures in social psychology (pp. 31–49). Harper.
   Google Scholar
• Parsegov, S. E., Proskurnikov, A. V., Tempo, R., & Friedkin, N. E. (2017). Novel multidimensional models of opinion dynamics in social networks. IEEE Transactions on Automatic Control, 62(5), 2270–2285. https://doi.org/10.1109/TAC.2016.2613905
   Web of Science ®Google Scholar
• Porter, M., & Gleeson, J. (2016). Dynamical Systems on Networks: A Tutorial (Vol. 4). Springer International Publishing.
   Google Scholar
• Proskurnikov, A. V., & Tempo, R. (2018). A tutorial on modeling and analysis of dynami social networks. Part II. Annual Reviews in Control, 45, 166–190. https://doi.org/10.1016/j.arcontrol.2018.03.005
   Web of Science ®Google Scholar
• Proskurnikov, A. V., Tempo, R., Cao, M., & Friedkin, N. E. (2017). Opinion evolution in time-varying social influence networks with prejudiced agents. IFAC-Papersonline, 50(1), 11896–11901. https://doi.org/10.1016/j.ifacol.2017.08.1424
   Google Scholar
• Rashotte, L. (2007). social influence. In G. Ritzer (Ed.), The Blackwell Encyclopedia of Sociology (pp. 4434–4437). Blackwell Pub.
   Google Scholar
• Romanowska, A., & Smith, J. D. (1985). Modal theory: An algebraic approach to order, geometry, and convexity ( No. 9). Heldermann.
   Google Scholar
• Samuelson, W., & Zeckhauser, R. (1988). Status quo bias in decision making. Journal of Risk and Uncertainty, 1(1), 7–59. https://doi.org/10.1007/BF00055564
   Google Scholar
• Tarde, G. (1903). The laws of imitation (E. C. Parsons, Trans.). H.Holt. (Original work published 1890).
   Google Scholar
• Tian, Y., Jia, P., MirTabatabaei, A., Wang, L., Friedkin, N. E., & Bullo, F. (2022). Social power evolution in influence networks with stubborn individuals. IEEE Transactions on Automatic Control, 67(2), 574–588. https://doi.org/10.1109/TAC.2021.3052485
   Web of Science ®Google Scholar