The paper introduces application of selected methods of a game theory for automation ofthe processes of moving marine objects, the game control processes in marine navigationand the base mathematical model of game ship control. State equations, control and stateconstraints have been defined first and then control goal function in the form of payments- the integral payment and the final one. Multi-stage positional and multi-step matrix,non-cooperative and cooperative, game and optimal control algorithms in a collisionsituation has been presented. The considerations have been illustrated as an examples ofa computer simulations mspg.12 and msmg.12 algorithms to determine a safe own ship’s trajectory in theprocess of passing ships encountered in Kattegat Strait.
