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The chapter addresses the features of decision-making in multi-level hierarchical systems. The features of such systems are the set of optimum points for various individual system’s components and the subsequent difficulty in coordinating and choosing optimal or quasi-optimal solutions related to conflicts of interest at different levels of management. The study describes the game-theoretic formalization of management, including control actions performed by agents, feedback flows, agents’ objective functions, i.a. utility functions. The presented formalization is based on the concept of transition to the management of multi-objective hierarchical systems via multi-agent simulation models. Based on the provided formalization, the chapter describes the organizational system of an oil production enterprise, which is a typical three-level enterprise divided into decision-making levels: strategic, tactical, and operational. By analyzing the system, we developed a conceptual management model at an oil production enterprise using a multi-agent approach. Within the developed system, agents are represented as decision-making organizations: parent organization, subsidiary, administrative and managerial personnel of the field. Thus, the result of the work is a conceptual model of a three-level multi-objective system. The prospects for the research development are: detailed elaboration of the structure of the system and the decision-making tuple; development of algorithms for the multi-agent system intelligent module, which will optimize the games in the system.