On the qualitative analysis of the solutions of a mathematical model of social dynamics |
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Affiliation: | 1. Dipartimento di Metodi e Modelli Matematici, Università di Palermo, Italy;2. Dipartimento di Matematica, Politecnico di Torino, Italy |
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Abstract: | This work deals with a family of dynamical systems which were introduced in [M.L. Bertotti, M. Delitala, From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences, Math. Models Methods Appl. Sci. 7 (2004) 1061–1084], modelling the evolution of a population of interacting individuals, distinguished by their social state. The existence of certain uniform distribution equilibria is proved and the asymptotic trend is investigated. |
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