Using the mathematical apparatus of game theory in strategic marketing

Abstract

The article discusses the use of the mathematical apparatus of game theory in strategic marketing. The use of the game theory toolkit in the formation of the marketing strategies of an enterprise has been investigated. According to the results of the study, it has been established that the introduction of game theory methods into marketing activities will make it possible to analyze complex socio-economic systems for solving strategic problems. Game theory models can be thought of as games of strategies or actions, such as setting prices, setting the size of output, determining the cost of advertising, or determining the cost of promoting products to the market. It is noted that game theory can predict the results of competitive situations and help choose optimal strategies. For practical work in strategic marketing, it is of particular importance that game theory allows you to choose optimal strategies that can improve the structure and outcome of the game. The use of the conceptual apparatus of the theory in economic theory is analyzed using the example of quantitative models of duopoly and the concept of equilibrium. The description of the mathematical model of strategic interaction is formalized, which reflects the inherent features of the conflict. The procedure for applying game theory in the formation of marketing strategies of enterprises is analyzed and the main stages of the procedure for choosing an optimal marketing strategy using game theory are highlighted. An algorithm for applying the mathematical apparatus of game theory in marketing activities is proposed. When developing a marketing strategy for an enterprise, general marketing goals are considered, depending on the level of strategic management and goals concerning individual elements of the marketing mix. A "tree of goals" of an enterprise for a marketing complex is proposed when forming a marketing strategy of an enterprise using the mathematical apparatus of game theory. A payment matrix has been formed, which makes it possible to determine possible optimal strategies and options for the game. The problems of using the mathematical apparatus in the formation of the marketing strategies of the enterprise are highlighted. The conceptual apparatus has been determined and basic tasks have been formulated, with the help of which the game theory toolkit allows making decisions in the marketing activities of an enterprise. 
 Keywords: game theory, strategy, strategic marketing, marketing strategy, strategic decisions, mathematical model, decision making.