# American Institute of Mathematical Sciences

September  2015, 10(3): 421-441. doi: 10.3934/nhm.2015.10.421

## From a systems theory of sociology to modeling the onset and evolution of criminality

 1 Department of Mathematics, Faculty Sciences, King Abdulaziz University, Jeddah, Saudi Arabia 2 Department of Mathematical Sciences, Politecnico of Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy 3 Centro de Investigación y Estudios de Matemática (CONICET), Medina Allende s/n, 5000 Córdoba, Argentina 4 Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada

Received  October 2014 Revised  January 2015 Published  July 2015

This paper proposes a systems theory approach to the modeling of onset and evolution of criminality in a territory. This approach aims at capturing the complexity features of social systems. Complexity is related to the fact that individuals have the ability to develop specific heterogeneously distributed strategies, which depend also on those expressed by the other individuals. The modeling is developed by methods of generalized kinetic theory where interactions and decisional processes are modeled by theoretical tools of stochastic game theory.
Citation: Nicola Bellomo, Francesca Colasuonno, Damián Knopoff, Juan Soler. From a systems theory of sociology to modeling the onset and evolution of criminality. Networks and Heterogeneous Media, 2015, 10 (3) : 421-441. doi: 10.3934/nhm.2015.10.421
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