Abstract
A model of position selection by individuals in the propaganda battle of two parties is considered. The position selection is based on a neurological decision-making model the input of which is the information stimuli arriving to the individual from the opposing parties and which produces as its output the support of one of these parties. In this version of the model, assortativity and the incomplete coverage of the population by mass media are also taken into account. The number and stability of equilibriums are investigated and a meaningful interpretation is proposed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
M. H. DeGroot, “Reaching a consensus,” J. Am. Statistic. Associat. 69 (345), 181–121 (1974).
N. F. Friedkin, A. V. Proskurnikov, R. Tempo, and S. E. Parsegov, “Network science on belief system dynamics under logic constraints,” Science 354 (6310), 321–326 (2016).
I. V. Kozitsin and A. A. Belolipetskii, “Opinion convergence in the Krasnoshchekov model,” J. Math. Sociology 43 (2), 1–18, (2018).
A. G. Chkhartishvili, D. A. Gubanov, and D. A. Novikov, Social Networks: Models of Information Influence, Control and Confrontation (Springer, 2019).
A. G. Chkhartishvili and D. A. Gubanov, “Influence levels of users and meta-users of a social network,” Autom. Remote Control. 79, 545–553 (2018).
P. Barberá, J. T. Jost, J. Nagler, J. A. Tucker, and R. Bonneau, “Tweeting from left to right: Is online political communication more than an echo chamber?” Psychologic. Sci. 26, 1531–1542 (2015).
R. Karlsen, K. Steen-Johnsen, D. Wollebæk, and B. Enjolras, “Echo chamber and trench warfare dynamics in online debates. Eur. J. Commun., 32 (3), 257–273 (2017).
A. Chkhartishvili and I. Kozitsin, “Binary separation index for echo chamber effect measuring,” Proc. of the 11th Int. Conf. “Management of Large-Scale System Development” (MLSD), Moscow, 2018, pp. 1–4.
M. P. Fiorina and S. J. Abrams, “Political polarization in the American public,” Annu. Rev. Polit. Sci. 11, 563-588 (2008).
N. Rashevsky, Mathematical Biophysics: Physico-Mathematical Foundations of Biology (Univ. of Chicago, Chicago Press, 1938).
G. K. Osei and J. W. Thompson, “The supersession of one rumour by another,” J. Appl. Probability 14 (1), 127–134 (1977).
R. Escalante and M. Odehnal, “A deterministic mathematical model for the spread of two rumors,” ArXiv preprint arXiv:1709.01726. 2017.
D. J. Daley and D. G. Kendall, “Stochastic rumors,” J. Inst. Math. Appl. 1, 42–55 (1964).
D. P. Maki and M. Thompson, Mathematical Models and Applications (Prentice-Hall, Englewood Cliffs, 1973).
A. P. Mikhailov and N. A. Marevtseva, “Models of information warfare,” Mat. Model. 23 (10), 19–32 (2011).
A. P. Petrov and O. G. Proncheva, “Modeling position selection by individuals during information warfare with a two-component agenda,” Math. Models Comput. Simul. 12, 154–163 (2020).
D. Yanagizawa-Drott, “Propaganda and conflict: Evidence from the Rwandan genocide,” Q. J. Econ. 129, 1947–1994 (2014).
L. Akhtyamova, A. Ignatov, and J. Cardiff, “A large-scale CNN ensemble for medication safety analysis,” Int. Conf. Applications of Natural Language to Information Systems, (Springer, 2017), pp. 247–253.
A. Boldyreva, O. Sobolevskiy, M. Alexandrov, and V. Danilova, “Creating collections of descriptors of events and processes based on Internet queries,” Proc. of 14th Mexican Int. Conf. on Artificial Intelligence (MICAI-2016) (Springer 2016), LNAI 10061, 303–314.
A. Boldyreva, M. Alexandrov, O. Koshulko, and O. Sobolevskiy, “Queries to Internet as a tool for analysis of the regional police work and forecast of the crimes in regions,” Proc. of 14th Mexican Int. Conf. on Artificial Intelligence (MICAI-2016) (Springer 2016), LNAI 10061, 290–302.
A. Mikhailov, A. Petrov, G. Pronchev, and O. Proncheva, “Modeling a decrease in public attention to a past one-time political event,” Dokl. Math. 97, 247–249 (2018).
A. Petrov and O. Proncheva, “Modeling propaganda battle: Decision-making, homophily, and echo chambers,” in Communications in Computer and Information Science, Vol. 930 Artificial Intelligence and Natural Language (Springer, 2018), pp. 197–209.
A. Petrov and O. Proncheva, “Propaganda battle with two-component agenda,” Proc. of the CEUR Workshop, 2019, Vol. 2478, pp. 28–38.
M. E. McCombs and D. L. Shaw, “The agenda-setting function of mass media,” Public Opinion Quart. 36 (2), 176–187 (1972).
M. McCombs and N. J. Stroud, “Psychology of agenda-setting effects: Mapping the paths of information processing,” Rev. Commun. Res. 2 (1), 68–93 (2014).
R. K. Garrett, “Echo chambers online?: Politically motivated selective exposure among Internet news users,” J. Comput.-Mediated Commun. 14 (2), 265–285 (2009).
N. J. Stroud, “Polarization and partisan selective exposure,” J. Commun. 60, 556–576 (2010).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by A. Klimontovich
Rights and permissions
About this article
Cite this article
Petrov, A.P., Proncheva, O.G. Stationary States in a Model of Position Selection by Individuals. Comput. Math. and Math. Phys. 60, 1737–1746 (2020). https://doi.org/10.1134/S0965542520100115
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0965542520100115