The topic of balancing on the brink is extremely relevant under present conditions of the real threat of nuclear war. A game-theoretic model is presented that describes the process of brinkmanship using the Caribbean crisis as an example. The results of research on such models and, accordingly, recommendations for decision makers depend significantly on the specific numerical values ​​of the players' payoffs and the probabilities of certain events. Therefore, it is advisable to develop a software package that allows you to set different values ​​of these parameters and conduct simulations for various control scenarios. The article proposes a program for implementing this approach.

Keywords: brinkmanship, extended form games, simulation