Active Particles Methods in Economics

New Perspectives in the Interaction between Mathematics and Economics

Nicola Bellomo, Diletta Burini, Valeria Secchini, Pietro Terna (Autoren)

Buch | Softcover

64 Seiten

2025
Cambridge University Press (Verlag)
978-1-009-54876-2 (ISBN)

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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.

1. Aims and Plan of this Element; 2. On a quest towards a mathematical theory of living systems; 3. A handbook of mathematical tools; 4. On price dynamics in heterogeneous Societies; 5. Further developments of mathematical theory; 6. On a forward look to research challenges; 7. The computational code; 8. Closure: On the role of hard sciences in economic theories; References.

Erscheinungsdatum	02.10.2024
Reihe/Serie	Elements in Complexity and Agent-based Economics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	150 x 230 mm
Gewicht	118 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Sozialwissenschaften ► Soziologie
	Wirtschaft ► Volkswirtschaftslehre ► Mikroökonomie
	Wirtschaft ► Volkswirtschaftslehre ► Wirtschaftspolitik
ISBN-10	1-009-54876-X / 100954876X
ISBN-13	978-1-009-54876-2 / 9781009548762
Zustand	Neuware