Recent research has highlighted that, in dynamical systems, especially when they are non-linear, small noises at the starting datum produce substantial changes in the long-term dynamics; this is connected with the so-called “complexity” and “deterministic chaos”. The stability theory aims to detect the asymptotic behavior of the system through the observation of its equilibrium points. A well-known example of non-linear system is the Lotka-Volterra model that describes the growth in an ecosystem, where only two species interact (“predators” and “prey”). This paper aims to show the adaptability of this model in the social-economical context, because it helps in explaining aspects of dichotomy not only in natural phenomena. Indeed, we also present the Goodwin model that extends the Lotka-Volterra model to the socio-economic context, and we apply it to Italy, using the R statistical software.

Complex Systems in Economic and Social Science: An Application of the Goodwin Model to Italy Using the Statistical Software R

De Sanctis, Angela;Porreca, Annamaria;Maturo, Fabrizio
2017-01-01

Abstract

Recent research has highlighted that, in dynamical systems, especially when they are non-linear, small noises at the starting datum produce substantial changes in the long-term dynamics; this is connected with the so-called “complexity” and “deterministic chaos”. The stability theory aims to detect the asymptotic behavior of the system through the observation of its equilibrium points. A well-known example of non-linear system is the Lotka-Volterra model that describes the growth in an ecosystem, where only two species interact (“predators” and “prey”). This paper aims to show the adaptability of this model in the social-economical context, because it helps in explaining aspects of dichotomy not only in natural phenomena. Indeed, we also present the Goodwin model that extends the Lotka-Volterra model to the socio-economic context, and we apply it to Italy, using the R statistical software.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11564/672248
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