Abstract
A threshold model of behavior is considered for a group of agents. Making binary decisions (choosing between active or passive states), agents take into account the choice of other members of the group. Control problem for thresholds and agents’ reputation is stated and solved in order to minimize the number of agents choosing “to be active.”
Similar content being viewed by others
References
Zeitz, K., Tan, H., Grief, M., et al., Crowd Behavior at Mass Gatherings: A Literature Review, Prehospital Disast. Medicine, 2008, vol. 24, no. 1, pp. 32–38.
Novikov, D.A., Matematicheskie modeli formirovaniya i funktsionirovaniya komand (Mathematical Models of Formation and Operation of Teams), Moscow: Fizmatlit, 2008.
Banerjee, A., A Simple Model of Herd Behavior, Quart. J. Econom., 1992, vol. 107, no. 3, pp. 797–817.
Granovetter, M., Threshold Models of Collective Behavior, Am. J. Sociol., 1978, vol. 83, no. 6, pp. 1420–1443.
Schelling, T., Micromotives and Macrobehaviour, New York: Norton, 1978.
Gubko, M.V. and Novikov, D.A., Teoriya igr v upravlenii organizatsionnymi sistemami (Game Theory in Organizational Systems Control), Moscow: SINTEG, 2002.
Breer, V.V., A Game-theoretic Model of Non-anonymous Threshold Conformity Behavior, Autom. Remote Control, 2012, vol. 73, no. 7, pp. 1256–1264.
Novikov, D.A. and Chkhartishvili, A.G., Refleksivnye igry (Reflexive Games), Moscow: SINTEG, 2003.
Chkhartishvili, A.G., Teoretiko-igrovye modeli informatsionnogo upravleniya (Game-theoretic Models of Informational Control), Moscow: PMSOFT, 2005.
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.V. Breer, D.A. Novikov, 2012, published in Problemy Upravleniya, 2012, No. 2, pp. 38–44.
Rights and permissions
About this article
Cite this article
Breer, V.V., Novikov, D.A. Models of mob control. Autom Remote Control 74, 2143–2154 (2013). https://doi.org/10.1134/S0005117913120163
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117913120163