Optimal solutions in the probabilistic version of the game «Inspection»

Abstract

Importance: оptimization of management decisions in different information conditions leads to different results. A correct analysis of such issues can be effectively carried out with the involvement of the model apparatus of game theory. Purpose: аnalysis of variants of management decisions and study of the dependence of optimal decisions on the information basis in situations simulated by a game with probabilistic outcomes. Research design: а generalization and analysis of the well-known game «Inspection» in a probabilistic situation is proposed. The study of the process of decision-making in the stochastic model makes it possible to develop an optimal strategy in these conditions. Results: оptimal strategies have been formed in the stochastic game model in the conditions of availability and inaccessibility of information about the results of the past steps of the multi-step game.