Unlike the classical kinetic theory of rarefied gases, where microscopic interactions among gas molecules are described as binary collisions, the modelling of socio-economic phenomena in a multi-agent system naturally requires to consider, in various situations, multiple interactions among the individuals. In this paper, we collect and discuss some examples related to economic and gambling activities. In particular, we focus on a linearisation strategy of the multiple interactions, which greatly simplifies the kinetic description of such systems while maintaining all their essential aggregate features, including the equilibrium distributions.
Kinetic modelling of multiple interactions in socio-economic systems / Toscani, G.; Tosin, A.; Zanella, M.. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 15:3(2020), pp. 519-542.
Titolo: | Kinetic modelling of multiple interactions in socio-economic systems | |
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Data di pubblicazione: | 2020 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.3934/nhm.2020029 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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toscani_tosin_zanella-2020-NHM.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia | |
1910.13843.pdf | articolo principale | 1. Preprint / submitted version [pre- review] | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2851717