Kinetic and Related Models (KRM)

On the dynamics of social conflicts: Looking for the black swan

Pages: 459 - 479, Volume 6, Issue 3, September 2013      doi:10.3934/krm.2013.6.459

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Nicola Bellomo - Department of Mathematica Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy (email)
Miguel A. Herrero - Department of Applied Mathematics, Universidad Complutense, Plaza de Ciencias 3, Ciudad Universitaria, 28040 Madrid, Spain (email)
Andrea Tosin - Istituto per le Applicazioni del Calcolo "M. Picone", Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185 Roma, Italy (email)

Abstract: This paper deals with the modeling of social competition, possibly resulting in the onset of extreme conflicts. More precisely, we discuss models describing the interplay between individual competition for wealth distribution that, when coupled with political stances coming from support or opposition to a Government, may give rise to strongly self-enhanced effects. The latter may be thought of as the early stages of massive unpredictable events known as Black Swans, although no analysis of any fully-developed Black Swan is provided here. Our approach makes use of the framework of the kinetic theory for active particles, where nonlinear interactions among subjects are modeled according to game-theoretical principles.

Keywords:  Social systems, complexity, generalized kinetic theory, active particles, stochastic games.
Mathematics Subject Classification:  Primary: 82D99, 91A15; Secondary: 91D10.

Received: January 2013;      Revised: January 2013;      Available Online: May 2013.