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El. knyga: Active Particles Methods in Economics: New Perspectives in the Interaction between Mathematics and Economics

(Charles University, Prague), (Liceo statale classico e musicale A. Mariotti), (Universitą di Torino, Italy), (Universidad de Granada)
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Active Particles Methods in Economics: New Perspectives in the Interaction between Mathematics and EconomicsDidesnis paveikslėlis
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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 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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Aims to understand how far mathematical theories based on active particle methods have been applied to complex systems in economics.
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.
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