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Active Particles Methods in Economics

Active Particles Methods in Economics

Active Particles Methods in Economics

New Perspectives in the Interaction between Mathematics and Economics
Authors:
Nicola Bellomo, Universidad de Granada
Diletta Burini, Liceo statale classico e musicale ‘A. Mariotti’
Valeria Secchini, Charles University, Prague
Pietro Terna, Università di Torino, Italy
Published:
January 2025
Availability:
Available
Format:
Paperback
ISBN:
9781009548762

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    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.

    Product details

    • Published: January 2025
    • Format: Paperback
    • ISBN: 9781009548762
    • Length: 64 pages
    • Dimensions: 230 × 150 × 5 mm
    • Weight: 0.118kg
    • Availability: Available

    Table of Contents

    • 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.

    Authors

    Nicola Bellomo , Universidad de Granada

    Diletta Burini , Liceo statale classico e musicale ‘A. Mariotti’

    Valeria Secchini , Charles University, Prague

    Pietro Terna , Università di Torino, Italy