Game-theoretic model of control in the system of sales of rolled metal products
Abstract
Game-theoretic model of control in the system of sales of rolled metal products
Incoming article date: 07.01.2026In 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.