期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 26, 期 6, 页码 1051-1093出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202516500251
关键词
Kinetic theory; active particles; stochastic differential games; evolution; learning; social systems; economy
资金
- European Union's Seventh Framework Programme (FP7) [SAFECITI]
This paper proposes a systems approach to social sciences based on a mathematical framework derived from a generalization of the mathematical kinetic theory and of theoretical tools of game theory. Social systems are modeled as a living evolutionary ensemble composed of many individuals, who express specific strategies, cooperate, compete and might aggregate into groups which pursue a common interest. A critical analysis on the complexity features of social system is developed and a differential structure is derived to provide a general framework toward modeling. Then, a case study shows how the systems approach is applied. Moreover, it is shown how the theory leads to the interpretation and use of the so-called big data. Finally some research perspectives are brought to the attention of readers.
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