A logical compromise approach to decision-making in the context of a conflict of interests of the subjects in the organizational system

The article develops a logical compromise approach to decision-making in organizational systems under the conditions of conflict of interests among their constituent entities. In relation to systems of this type, the interpretation of the criteria for decision security, their Pareto optimality and Nash equilibrium are given. The conceptual gradation of risk levels in decision-making is introduced and empirical formulas are provided to assess the corresponding functions of subject efficiency. Taking into account the correlation of individual and systemic interests, the problem of choosing the most suitable solution from among Pareto-optimal and simultaneously equilibrium solutions in the sense of Nash is solved. Recommendations on practical ways to ensure the balance of compromise solutions, including imposing sanctions on violators of agreements, creating coalitions from among subjects with similar interests, increasing the level of mutual awareness of participants in negotiations, are given. An algorithm is proposed that implements a logical compromise approach to decision-making in the context of a conflict of interests of the subjects in the organizational system. This algorithm along with the methods of multi-criteria mathematical optimization, the provisions of coalition game theory and neural network programming can be used to create software systems to support the adoption of compromise decisions made in organizational systems of various functional purposes.

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