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This paper describes the application of elements of the game theory for the purpose of optimal control of some dynamic continuous processes. Using as an example the process of safe ship’s control, the paper presents the problem of applying a positional non-cooperative game of j objects for the description of the process considered as well as for the synthesis of optimal strategies. A mathematical model of differential game is formulated and its approximation in the form of a dual linear programming problem is used for the synthesis of safe ship’s trajectory as a multistage process decision. The considerations have been illustrated in an example of a computer simulation (the POSGAME programme) to determine the safe ship’s trajectory in a situation of passing many of the objects encountered.

The dynamic game theory methods applied to ship control with minimum risk of collision