Modeling of Motivation of Top Management in Government Agencies in the Regions

The aim of the research is to create a model of motivation of the top management of government agencies of regions, which will allow to make non-financial motivation of top managers dependent upon the achieved strategic potential of the region and their financial incentives. For this purpose, the three-objective problem of global optimization of the coefficient of natural population growth is solved using a multiobjective genetic algorithm. Each of the three objectives~-- the strategic potential of the region, financial and non-financial motivation of top management -- depends on three factors in the same frame of references. The~construction of the set of effective solutions using the Pareto frontier is performed for the two primary goals -- the strategic potential of the region and the financial motivation of top management, and then as a consequence we get a set of optimal solutions for non-financial motivation. The conclusion of actual encouragement (bonus award) of top managers in government agencies of regions is drawn as follows. For each of the three objectives in a particular region, the~latest actual values of the nine factors under study are compared with the nearest planned (optimal) values of the Pareto frontier. A positive deviation from the optimum is assessed positively, which allows for additional encouragement of top managers financially or non-financially