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Active Particles Methods in Economics

New Perspectives in the Interaction between Mathematics and Economics

Published online by Cambridge University Press:  22 November 2024

Nicola Bellomo
Affiliation:
Universidad de Granada
Diletta Burini
Affiliation:
Liceo statale classico e musicale ‘A. Mariotti’
Valeria Secchini
Affiliation:
Charles University, Prague
Pietro Terna
Affiliation:
Università di Torino, Italy

Summary

The aim of this Element is to understand how far mathematical theories based on active particles methods have been applied to describe the dynamics of complex systems in economics, and to look forward to further research perspectives in the interaction between mathematics and economics. The mathematical theory of active particles and the theory of behavioral swarms are selected for the above interaction. The mathematical approach considered in this work takes into account the complexity of living systems, which is a key feature of behavioral economics. The modeling and simulation of the dynamics of prices within a heterogeneous population is reviewed to show how mathematical tools can be used in real applications.
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Active Particles Methods in Economics
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