Differential Equations and Nonlinear Mechanics 
Volume 2006 (2006), Article ID 86816, 26 pages
doi:10.1155/DENM/2006/86816

On the modelling of complex sociopsychological systems with some reasoning about Kate, Jules, and Jim

Nicola Bellomo1 and Bruno Carbonaro2

 1Department of Mathematics, Politecnico di Torino, Torino 10129, Italy
2Department of Mathematics, Second University of Napoli, Firat University, Caserta 81100, Italy
Received 10 June 2005; Revised 2 November 2005; Accepted 18 January 2006

Abstract

This paper deals with the modelling of complex sociopsychological games and reciprocal feelings involving interacting individuals. The modelling is based on suitable developments of the methods of mathematical kinetic theory of active particles with special attention to modelling multiple interactions. A first approach to complexity analysis is proposed referring to both computational and modelling aspects.