This study set out to investigate impact of information control. We used our previous reflexive analysis of a game to find sensitivity of strategies and utility functions to incresing beliefs about thresholds. The game itself was construsted by using a normal formal with weakened suggestions on agetns's beleifs and knowledge. We found domains of paremters where monotonicty of the impact holds too. Together these results provide important insights into impact of reflexive analysis on properties of information control.