# American Institute of Mathematical Sciences

September  2020, 15(3): 353-368. doi: 10.3934/nhm.2020022

## Swarms dynamics approach to behavioral economy: Theoretical tools and price sequences

 1 University of Granada, Departamento de Matemática Aplicada, 18071-Granada, Spain, Collegio Carlo Alberto, Torino, Italy, Politecnico Torino, Italy 2 Joint Research Centre, European Commission, Ispra, VA, Italy 3 Centro de Investigación y Estudios de Matemática (CONICET) and Famaf (UNC), Medina Allende s/n, 5000 Córdoba, Argentina 4 Credimi S.p.A., Milano, MI, Italy 5 University of Torino, Torino, Italy, Collegio Carlo Alberto, Torino, Italy

Received  December 2019 Revised  February 2020 Published  September 2020

This paper presents a development of the mathematical theory of swarms towards a systems approach to behavioral dynamics of social and economical systems. The modeling approach accounts for the ability of social entities are to develop a specific strategy which is heterogeneously distributed by interactions which are nonlinearly additive. A detailed application to the modeling of the dynamics of prices in the interaction between buyers and sellers is developed to describe the predictive ability of the model.

Citation: Nicola Bellomo, Sarah De Nigris, Damián Knopoff, Matteo Morini, Pietro Terna. Swarms dynamics approach to behavioral economy: Theoretical tools and price sequences. Networks & Heterogeneous Media, 2020, 15 (3) : 353-368. doi: 10.3934/nhm.2020022
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##### References:
1.0, 5.0 ratios: 10/50 buyers (red) and 10/10 sellers (blue), mean price sequences; blue line hides in large part the red one
1.0, 5.0 ratio: 10/50 buyers (red) and 10/10 sellers (blue), zoom on individual price sequences. Y axes do not share the same scale
1.0, 5.0 ratio: 10/50 buyers (red) and 10/10 sellers (blue), standard deviation of mean prices within buyers and within sellers over time
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