Active particles methods in economics : new perspectives in the interaction between mathematics and economics

Nicola Bellomo, Diletta Burini, Valeria Secchini, Pietro Terna

The aim of this Element is to understand how far mathematical theories based on active particle 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 behavioural 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 behavioural economics. The modelling 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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Year of publication:	2024
Authors:	Bellomo, Nicola ; Burini, Diletta ; Secchini, Valeria ; Terna, Pietro
Publisher:	Cambridge : Cambridge University Press
Subject:	economic modeling \| interacting agents \| active particle \| price emergence \| mathematical modelling \| Theorie \| Theory \| Mathematik \| Mathematics \| Finanzmathematik \| Mathematical finance \| Mathematische Optimierung \| Mathematical programming \| Wirtschaftsmodell \| Economic model

Extent:	1 online resource (53 pages) digital, PDF file(s)
Series:	Cambridge elements. Elements in complexity and agent-based economics
Type of publication:	Book / Working Paper
Language:	English
Notes:	Title from publisher's bibliographic system (viewed on 15 Nov 2024)
ISBN:	978-1-009-54875-5 ; 978-1-009-54874-8 ; 978-1-009-54876-2 ; 978-1-009-54874-8
Other identifiers:	10.1017/9781009548755 [DOI]
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10015160684