Research of the Model of Territorial Distribution of Labor Resources

The paper considers a game model of spatial competition of workers of various professional qualifications, taking into consideration the interests of employers. It is assumed that workers and employers are interested in maximizing their profits and acting on the basis of their interests. To simulate this situation, you need to use the mathematical apparatus of game theory. The article presents a solution to the problem of locating a finite number of employees with a known finite number of employers on a network defined on a flat torus. Winning employees is defined as the salary offered to them, taking into consideration all their merits. Employers choose workers, not only on the basis of the cost function specified for each employer when moving workers, but also focusing on the minimum cost of employees' professional qualifications. Compromise solutions serve as a criterion of optimality. A compromise solution and equilibrium in the network are found according to Stackelberg.