There are works that study personality and task performance but there are no (or very few works) that study the balancing of personalities within teams that work together towards a common goal in computer-based tasks. This study investigates how personality compatibility in collaborative tasks affects performance, intra-group communication and participants’ emotions for computer-based tasks and introduces the challenges for research in this field. Using the DISC (dominance, inducement/influence, submission/steadiness, compliance) tool for personality assessment and team compatibility, 12 teams were created with either balanced or imbalanced personality compositions. Results showed statistical differences in emotions between the two experimental conditions and also differences in terms of time needed for the completion of the game. The present work showed the qualitative differences between cooperative tasks and revealed the challenges of studying further team compatibility for different tasks.