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Modeling Complex Living SystemsModeling of Social Dynamics and Economic Systems

Modeling Complex Living Systems: Modeling of Social Dynamics and Economic Systems Modeling of Social Dynamics and Economic Systems 5.1 Introduction The mathematical tools developed in Chapters 2–4 are applied, starting with this chapter, to the analysis of various complex systems of interest in life and applied sciences—specifically to the modeling of the collective social behavior of large systems of interacting individuals. Interactions at the microscopic level have the ability to modify the social state of the interacting pairs, while methods of generalized kinetic theory can be used to describe the evolution of the probability distribution over the microscopic state, which is identified by the social state. Moreover, some research perspectives are proposed for modeling other complex social systems: interactions and competition among nations, personal feelings, and migration phenomena. Referring to the formalism proposed in the previous chapters, the active particles are now individuals, or groups of individuals, of a certain society. The mathematical structures used to model the evolution of the system is the one offered in Section 4.4, corresponding to a system with a constant number of active particles characterized by a microscopic state identified by the activity variable only. This assumption means that the system is observed for short time inter- vals so that birth and death processes http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Modeling Complex Living SystemsModeling of Social Dynamics and Economic Systems

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Publisher
Birkhäuser Boston
Copyright
© Birkhäuser Boston 2008
ISBN
978-0-8176-4510-6
Pages
81 –107
DOI
10.1007/978-0-8176-4600-4_5
Publisher site
See Chapter on Publisher Site

Abstract

Modeling of Social Dynamics and Economic Systems 5.1 Introduction The mathematical tools developed in Chapters 2–4 are applied, starting with this chapter, to the analysis of various complex systems of interest in life and applied sciences—specifically to the modeling of the collective social behavior of large systems of interacting individuals. Interactions at the microscopic level have the ability to modify the social state of the interacting pairs, while methods of generalized kinetic theory can be used to describe the evolution of the probability distribution over the microscopic state, which is identified by the social state. Moreover, some research perspectives are proposed for modeling other complex social systems: interactions and competition among nations, personal feelings, and migration phenomena. Referring to the formalism proposed in the previous chapters, the active particles are now individuals, or groups of individuals, of a certain society. The mathematical structures used to model the evolution of the system is the one offered in Section 4.4, corresponding to a system with a constant number of active particles characterized by a microscopic state identified by the activity variable only. This assumption means that the system is observed for short time inter- vals so that birth and death processes

Published: Jan 1, 2008

Keywords: Social State; External Action; Mathematical Structure; Active Particle; Social Dynamics

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