The group behaviour modelling of workers in the labor market-Reference-Cited by-同舟云学术

The group behaviour modelling of workers in the labor market

Published:2023-08-01 Issue:4 Volume:38 Page:219-229
ISSN:1569-3988
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:en
Short-container-title:

Author:

Shananin Alexander¹²³⁴,Trusov Nikolai¹²

Affiliation:

1. Federal Research Center ‘Computer Science and Control’ of RAS , Moscow , Russia

2. Moscow Center of Fundamental and Applied Mathematics, Leninskiye Gory , Moscow , Russia

3. Moscow Institute of Physics and Technology, National Research University , Dolgoprudny , Moscow Region , Russia

4. Peoples’ Friendship University of Russia, RUDN University , Moscow , Russia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Modeling and Simulation,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2023-0017/pdf

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