What is prestige?

Witnessing criminals and winning missions will increase your Prestige.
 
Enforcers must play within the bounds of the enforcement ideal to gain Prestige: arrest criminals instead of killing them and stopping criminal activity whenever possible. For enforcers, aberrant behavior (as described above) in the ‘Living City’ will result in penalties to Prestige. Killing criminals who are already arrested results in a bigger penalty to Prestige. Mechanisms such as police sirens and horns facilitate in avoiding the accidental killing of pedestrians while driving a vehicle. Similar to Notoriety, low Prestige equate to low bonuses and rewards and having high Prestige will give you higher bonuses and rewards.