The traffic on a large scale railway corridor is considered, on which cargo freight trains belonging to independent carrier agents’ move. The goal of each agent is to maximize his profit from the transportation of cargo by train. Accordingly, the goal function of agent includes payment received from cargo owners, as well as damage of crash and fines for violation of corridor traffic rules. The optimal guarantee strategy of the agent driving cargo train is constructed ensuring the growth of payment for the transportation with the exclusion of damage. Game of agents on the closed circular large scale railway corridor is considered. Its solution is found in the stationary mode of motion. It is shown that this game solution is Nash equilibrium. Based on the found solution, the characteristics of the corridor such as delivery time and maximum traffic volume are determined. The corresponding characteristics of the Central and North Eurasian railway corridor from China to European Union are estimated.