Formalization and study of the game-theoretic model of the optimal distribution of workers in enterprises

Abstract

The paper presents a cooperative game about the appointment for the study of the optimal distribution of workers in the enterprise. Many workers and many enterprises are given. In this model, workers can team up, work in different enterprises and perform different jobs. Workers, teaming up and working in different enterprises, receive wages. The sum of these wages at all enterprises forms the income of the team. It is required to distribute income optimally between employees. A numerical example of finding the Shapley vector is compiled, which, depending on the productivity of workers performing work, shows what income each employee should receive