What is life? Active particles tools towards behavioral dynamics in social-biology and economics

被引:15
作者
Bellomo, N. [1 ,2 ,3 ]
Esfahanian, M. [4 ]
Secchini, V. [5 ]
Terna, P. [3 ,6 ]
机构
[1] Univ Granada, Granada, Spain
[2] Politecn Torino, Turin, Italy
[3] Fdn Collegio Carlo Alberto, Turin, Italy
[4] Polytech Univ Turin, Turin, Italy
[5] Charles Univ Prague, Inst Econ Studies, Fac Social Sci, Prague, Czech Republic
[6] Univ Torino, Turin, Italy
关键词
Living matter; Evolution; Stochastic games; Active particles; SARS-CoV-2; Evolutionary economics; KINETIC-THEORY; PEDESTRIAN DYNAMICS; MATHEMATICAL-THEORY; DISEASE CONTAGION; OPINION DYNAMICS; MODELS; EPIDEMIC; IMMUNITY; SYSTEMS; SPREAD;
D O I
10.1016/j.plrev.2022.10.001
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
This review paper is devoted to study the conceptual difficulties that mathematics meets when attempting to describe the com-plexity of living matter focusing on the challenging perspective of developing a mathematical theory for living systems including mutations and selection. The quest starts with the identification of a number of common complexity features of living systems. Then, mathematical structures are derived to include these features, while mathematical models are derived by inserting in the structures models of individual based interactions. Three applications are examined by active particles methods, i.e., models of SARS2-CoV-2 pandemics, models of idiosyncratic learning in open markets and of the dynamics of prices accounting for human behaviors. A critical study, which pervades the whole paper, shows that also economics can be viewed as a behavioral science thus accounting for specific aspects typical of living systems.(c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页码:189 / 207
页数:19
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