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

BELLOMO, NICOLA; DOSI, GIOVANNI; KNOPOFF, DAMIÁN A.; VIRGILLITO, MARIA ENRICA

MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES

WORLD SCIENTIFIC PUBL CO PTE LTD

Año: 2020 p. 1 - 20

0218-2025

This paper constitutes the first attempt to bridge the evolutionary theory in economicsand the theory of active particles in mathematics. It seeks to present a kinetic modelfor an evolutionary formalization of economic dynamics. The new derived mathematicalrepresentation intends to formalize the processes of learning and selection as the twofundamental drivers of evolutionary environments [G. Dosi, M.-C. Pereira and M.-E.Virgillito, The footprint of evolutionary processes of learning and selection upon the