Sure, here's a simple game implementation that meets your requirements:
In this game, as the manager, you are randomly assigned a character (represented by a pictogram). If you are assigned the pictogram "💼" (which represents the manager), you have successfully banned Karens and robbers and win the game. However, if you are assigned any other character, it means you allowed Karens and robbers in the mall, and you lose the game. The game outcome is logged in the console for easier testing and understanding.
Note: The game logic in this implementation is simplified for demonstration purposes. In a real game, you would have more complex gameplay and interactivity.