This study sets out to investigate the impact of information control. We used our previous reflexive analysis of a game to find the sensitivity of strategies and utility functions to increasing beliefs about thresholds. The game itself is constructed by using a normal form game and making suggestions on the agents's believes and knowledge weaker. We found domains of parameters where monotonicity of the impact holds too. Together, these results provide important insights into the impact of reflexive analysis on the properties of information control.