Towards a mathematical theory of complex socio-economical systems by functional subsystems representation

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2008, 1(2): 249-278. doi: 10.3934/krm.2008.1.249

Towards a mathematical theory of complex socio-economical systems by functional subsystems representation

Giulia Ajmone Marsan ^1, , Nicola Bellomo ^2, and Massimo Egidi ^3,

1.	IMT -Institute for Advanced Studies Lucca, Piazza San Ponziano 6, 55100 Lucca, Italy
2.	Department of Mathematics, Politecnico Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy
3.	Luiss Guido Carli, Viale Pola 12, 00198 Roma, Italy

Received February 2008 Revised February 2008 Published May 2008

Abstract
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This paper deals with the development of a mathematical theory for complex socio-economical systems. The approach is based on the methods of the mathematical kinetic theory for active particles, which describes the evolution of large systems of interacting entities which are carriers of specific functions, in our case economical activities. The method is implemented with the concept of functional subsystems constituted by aggregated entities which have the ability of expressing socio-economical purposes and functions.

Keywords: stochastic systems., complexity, kinetic theory, social systems, economy.

Mathematics Subject Classification: Primary: 82D99, 91D10; Secondary: 91A1.

Citation: Giulia Ajmone Marsan, Nicola Bellomo, Massimo Egidi. Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Kinetic & Related Models, 2008, 1 (2) : 249-278. doi: 10.3934/krm.2008.1.249

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