Mathematical problems of decision -making in organizational systems. Monograph

The theory of decision -making in organizational systems with a complex structure in the context of conflict and uncertainty is stated. A review of the current state of theory is given. Systems are studied: hierarchical, coalition and coalition-hierarchical (hybrid) The main attention in the process of constructing mathematical models of systems is paid to describing the methods of information interaction between persons making decisions. At the same time, the options for their undesirable (conflict) and benevolent "mood" are taken into account. Two approaches to decision making are proposed: making decisions from the point of view of the selected system participant based on the method of penalty functions and obtaining the necessary conditions of optimality, making decisions in the form of equilibrium based on special principles of optimality designed using the principles of Nash, Pareto, Joffrion, Shtacleselberg, and Slatyer , threats-content, absolute active equilibrium and obtaining sufficient optimality conditions. Theoretical results are illustrated by model examples.
For scientists, graduate students and students involved in theoretical and practical issues of decision -making in complex systems