APPLICATION OF MATRIX GAME IN THE PROCESS OF ENTERPRISE ACTIVITY MANAGEMENT

Abstract

Modern market economy creates new requirements for the enterprise. They are due to the presence of fierce competition and the need to respond flexibly to ambiguous changes in the markets and industries. In this case, the success of the company will depend on the ability to adapt to changes in their environment: to anticipate and change the structure of business, develop and implement new products, correctly identify investment areas for various activities, etc. to succeed and ensure prosperity in the future. The purpose of the formation and implementation of production policy is to adapt the company to market requirements with minimal costs, but it requires managers and specialists to be aware of a wide range of issues outside the sphere of production. In the process of innovative activity of the enterprise entrepreneurs are forced to act in conditions of risk and uncertainty. Uncertainty is caused by the lack of information about the conditions under which innovations take place, as they do not depend on the conscious actions of the parties to the agreement, but on objective reality, which can be called nature and applied to such problems game theory, namely playing with nature. The risk matrix is constructed in the article. A number of criteria were used to make the decision: minimum mathematical risk expectation, Wald's maximum criterion, Savage's minimum risk criterion, Hurwitz's criterion. Theoretical possibilities of using antagonistic matrix games in solving a linear model of production are considered. The received payment function allows to offer the following model of management of economic system: the administrative device has two departments – planning and financial. The task of the planning department is to form a production plan so as to maximize the total profit of the system - the payment function. The task of the financial department is to set prices for resources in such a way as to minimize the cost of resources and thus minimize the function, the profit of the same economic system. Thus, a balance should be found between these departments. The considered mathematical device can be used for any firms engaged in production.