Abstract
This paper explores the following model of agents’ threshold behavior. Making binary decisions (choosing between “activity” and “passivity”), agents consider the choice of other members in a group. We formulate and solve an associated control problem, i.e., the random choice problem for the initial states of some agents in order to vary the number of agents preferring “passivity” in an equilibrium.
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Batov, A.V., Breer, V.V., Novikov, D.A., et al., Macro- and Micromodels of Social Networks: Identification and Simulational Experiments, Probl. Upravlen., 2014, no. 6, pp. 45–51.
Bukharin, S.N. and Tsyganov, V.V., Metody i tekhnologii informatsionnykh voin (Methods and Technologies of Information Warfare), Moscow: Akademicheskii Proekt, 2007.
Breer, V.V., Models of Conformity Behavior (Review), Probl. Upravlen., 2014, no. 1, pp. 2–13. no. 2, pp. 2–17.
Breer, V.V., and Novikov, D.A., and Rogatkin, A.D., Macro- and Micromodels of Social Networks: Theory, Probl. Upravlen., 2014, no. 5, pp. 28–33.
Grachev, G. and Mel’nik, I., Manipulirovanie lichnost’yu. Organizatsiya, sposoby i tekhnologii informatsionno- psikhologicheskogo vozdeistviya (Manipulation of Personality: The Organization, Methods and Technologies of Information and Psychological Impact), Moscow: Inst. Philosofii RAN, 1999.
Gubanov, D.A., Kalashnikov, A.O., and Novikov, D.A., Game-theoretic Models of Informational Confrontation in Social Networks, Autom. Remote Control, 2011, vol. 72, no. 9, pp. 2001–2008.
Gubanov, D.A., Novikov, D.A., and Chkhartishvili, A.G., Sotsial’nye seti: modeli informatsionnogo vliyaniya, upravleniya i protivoborstva (Social Networks: Models of Informational Influence, Control and Contagion), Moscow: Fizmatlit, 2010.
Zimbardo, P.G. and Leippe, M.R., The Psychology of Attitude Change and Social Influence, New York: McGraw-Hill, 1991. Translated under the title Sotsial’noe vliyanie, St. Petersburg: Piter, 2000.
Myers, D.G., Social Psychology, New York: McGraw-Hill, 1983. Translated under the title Sotsial’naya psikhologiya, St. Petersburg: Piter, 2002.
Moulin, H., Axioms of Cooperative Decision Making, Cambridge: Cambridge Univ. Press, 1988. Translated under the title Kooperativnoe prinyatie reshenii: aksiomy i modeli, Moscow: Mir, 1991.
Novikov, D.A., Games and Networks, Mat. Teor. Igr Ee Pril., 2010, vol. 2, no. 1, pp. 107–124.
Novikov, D.A., Models of Network Excitation Control, in Proc. XII All-Russian Conf. on Control Sciences, Moscow: Inst. Probl. Upravlen., 2014, pp. 2014–6314.
Pocheptsov, G.G., Informatsionno-psikhologicheskaya voina (Information-Psychological War), Moscow: Sinteg, 2000.
Cialdini, R.B., Influence: Science and Practice, Glenview: Scott, Foresman, 1988. Translated under the title Psikhologiya vliyaniya, St. Petersburg: Piter, 2001.
Sheinov, V.P., Skrytoe upravlenie chelovekom (psikhologiya manipulirovaniya) (Hidden Management of a Person. Psychology of Manipulation), Moscow: AST, 2002.
Shiryaev, A.N., Veroyatnost’. Uch. pos. dlya vuzov (Probability. Textbook for Universities), Moscow: Nauka, 1989.
Barabanov, I.N., Korgin, N.A., Novikov, D.A., and Chkhartishvili, A.G., Dynamic Models of Informational Control in Social Networks, Autom. Remote Control, 2010, vol. 71, no. 11, pp. 2417–2426.
Breer, V.V., A Game-theoretic Model of Non-anonymous Threshold Conformity Behavior, Autom. Remote Control, 2012, vol. 73, no. 7, pp. 1256–1264.
Breer, V.V. and Novikov, D.A., Models of Mob Control, Autom. Remote Control, 2013, vol. 74, no. 12, pp. 2143–2154.
Germeier, Yu., Non-antagonistic Games, Boston: D. Reidel, 1986.
Granovetter, M., Threshold Models of Collective Behavior, Am. J. Sociol., 1978, vol. 83, no. 6, pp. 1420–1443.
Kirman, A., Ants, Rationality and Recruitment, Quart. J. Econom., 1993, vol. 108, no. 1, pp. 137–156.
Novikov, D.A. and Chkhartishvili, A.G., Reflexion and Control: Mathematical Models, London: CRC Press, 2014.
Novikov, D.A., “Cognitive Games”: A Linear Impulse Model, Autom. Remote Control, 2010, vol. 71, no. 4, pp. 718–730.
Novikov, D.A., Theory of Control in Organizations, New York: Nova Science, 2013.
Schelling, T.C., Micromotives and Macrobehavior, New York: Norton, 1978.
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Original Russian Text © V.V. Breer, D.A. Novikov, A.D. Rogatkin, 2014, published in Upravlenie Bol’shimi Sistemami, 2014, No. 52, pp. 85–117.
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Breer, V.V., Novikov, D.A. & Rogatkin, A.D. Stochastic models of mob control. Autom Remote Control 77, 895–913 (2016). https://doi.org/10.1134/S000511791605012X
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DOI: https://doi.org/10.1134/S000511791605012X