From particles to firms: on the kinetic theory of climbing up evolutionary landscapes

DOI10.1142/S021820252050027XzbMath1445.82020OpenAlexW3034654100MaRDI QIDQ5127165

Maria Enrica Virgillito, Damián Knopoff, Giovanni Dosi, Nicola Bellomo

Publication date: 21 October 2020

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820252050027x

zbMATH Keywords

kinetic theoryevolutionary dynamicsactive particlesmarket selectionidiosyncratic learning

Mathematics Subject Classification ID

Models of societies, social and urban evolution (91D10) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items

Swarms dynamics approach to behavioral economy: theoretical tools and price sequences ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors ⋮ On the mathematical theory of behavioral swarms emerging collective dynamics ⋮ Editorial: Active particle models and methods in science and society ⋮ A mean field game model of firm-level innovation ⋮ Collective dynamics in science and society ⋮ Towards a mathematical theory of behavioral swarms ⋮ What is life? A perspective of the mathematical kinetic theory of active particles ⋮ A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Escaping the trap of `blocking': a kinetic model linking economic development and political competition
• Towards a mathematical theory of complex socio-economical systems by functional subsystems representation
• The mathematical theory of dilute gases
• A quest towards a mathematical theory of living systems
• Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics
• Fokker–Planck equations in the modeling of socio-economic phenomena
• Quantitative Sociodynamics
• Call center service times are lognormal: A Fokker–Planck description
• A multiscale view of nonlinear diffusion in biology: From cells to tissues
• Evolutionary dynamics of cooperation in a population with probabilistic corrupt enforcers and violators
• Measure-valued opinion dynamics
• Hilbert method toward a multiscale analysis from kinetic to macroscopic models for active particles
• The Calculus of Selfishness