FROM A SYSTEMS THEORY OF SOCIOLOGY TO MODELING THE ONSET AND EVOLUTION OF CRIMINALITY

被引:37
|
作者
Bellomo, Nicola [1 ,2 ]
Colasuonno, Francesca [3 ]
Knopoff, Damian [4 ]
Soler, Juan [5 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[2] Politecn Torino, I-10129 Turin, Italy
[3] Politecn Torino, Dept Math Sci, I-10129 Turin, Italy
[4] Ctr Invest & Estudios Matemat CONICET, RA-5000 Cordoba, Argentina
[5] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
关键词
Kinetic theory; active particles; stochastic games; system theory sociology; social systems; criminality; MATHEMATICAL-THEORY; COMPLEX-SYSTEMS; DYNAMICS; EXISTENCE; NETWORKS;
D O I
10.3934/nhm.2015.10.421
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
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页码:421 / 441
页数:21
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