In this article a hierarchical game in a two-level system for the distribution of rolled metal products is constructed.  Stackelberg equilibria for vertically connected participants and Nash equilibria for horizontally connected participants are found. There are several dealer organizations that sell rolled metal products, purchasing them from suppliers and delivering them via carriers either to their warehouse or directly to the customer. It's preferable for a dealer to have the product in their warehouse when a customer orders it. Otherwise, to avoid losing the order, the company must arrange for additional funds to purchase the product from the supplier and transport it to the customer. However, demand is far from constant and depends on several factors, including season, weather conditions, and the current socio-economic conditions in the region. Therefore, it's difficult to predict how much product to stock and when to do it. Suppliers, in turn, set prices for their products, including discounts for dealers. The system consists of several producers at the top level, several dealers at the bottom level, and their customers. An algorithm for sequentially coordinating transactions between a specific dealer and a specific supplier is proposed.

Keywords: Knyazev I.I., Gorbaneva O.I.

In the article a cognitive map of an organization whose activities are related to the sale of rolled metal products is presented. The constructed map is investigated analyzing the impulse processes occurring in the constructed system. It is assumed that the system may be affected by random factors such as economic and social crises, examples of which may be a lockdown during a pandemic, military actions in the country, sanctions, etc., as well as weather conditions, which, although accidental, are more predictable than economic and social cataclysms. The processes are investigated for impulse and absolute stability. The possibilities of increasing stability in the system are analyzed. The methods of increasing stability in the system are proposed in order to preserve profits in the rolled metal sales enterprise.

Keywords: cognitive map, metal rolling realization system, socio-economic cataclysms, weather conditions, impulse processes, impulse stability, absolute stability, petal sequence, characteristic polynomial, positive and negative cycles