Brainwaves can be used as auxiliary inputs in the design of game mechanics for attention training games. Although attention training games are generally developed in the single-player mode, multi-player games can be more engaging and fun to play. This paper proposes a new interaction technique between players in multi-player car racing games, in which a novel competitive reinforcement approach is used to regulate difficulty parameters using brainwaves of players. The results of our experiments suggest that the competitive reinforcement is more effective to increase attention level as compared to positive and negative reinforcement conditions. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.