| Popis: |
The problem of modeling the activity of real estate companies is relevant and causes a certain interest. This article sets and solves the problem of mathematical modeling of the management system of interaction between a realtor and the management of a realtor company, developing an effective mechanism for managing the activities of a realtor company. To describe the management system, a static two-level hierarchical model of interaction between a real estate agency (management of a real estate company) and an agent (realtor) is proposed. The real estate agency acts as the Lead, and the agent acts as the Slave. The slave manages the degree (level) of their qualifications, and the Leader – the amount of funds allocated for agency advertising. The incentive method is used as a method of hierarchical management. Information rules are used that correspond to Stackelberg’s game without management feedback. The model provides the ability to manipulate information from the Slave. The algorithm for finding the Stackelberg equilibrium is specified. An analytical (for a particular type of input functions) and numerical (for a general type of input functions) study of the proposed model is carried out. The results are presented and analyzed, and relevant conclusions are drawn. |
