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The group behaviour modelling of workers in the labor market

  • Alexander Shananin und Nikolai Trusov EMAIL logo
Veröffentlicht/Copyright: 8. August 2023

Abstract

We describe the mathematical modelling of the group behaviour of workers in the labor market. The worker receives the salary and seeks to improve his qualifications in order to receive higher wages. The worker enlarges his qualification by the investments in human capital. At a random moment of time, a vacancy appears that provides a jump in the worker’s salary. The mathematical model of the worker’s behaviour in the labor market is presented as an optimal control problem on an infinite time horizon. The paper presents the derivation of the Kolmogorov–Fokker–Planck equation for the Lévy process, which describes the behaviour of a large amount of workers within a social layer. The numerical solution of the Kolmogorov–Fokker–Planck equation and the calculation results are presented.

MSC 2010: 49L99; 37A50; 65M06

Funding statement: The work was supported by the Russian Science Foundation grant No. 23-21-00281.

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Received: 2023-05-28
Accepted: 2023-06-06
Published Online: 2023-08-08
Published in Print: 2023-08-28

© 2023 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 3.12.2025 von https://www.degruyterbrill.com/document/doi/10.1515/rnam-2023-0017/html
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