the tendency to re-offend
recidivism - relapse
The technical term ‘recidivism’ expresses a propensity to relapse into a previous mode of behaviour or condition, especially one that is harmful, immoral, or illegal. For that reason, the word is most commonly used in relation to criminals who re-offend even after previous punishment.
The politician claimed that high recidivism rates show that the prison system is not working and needs urgent reform.
You shouldn’t even consider going into business with a man like that. He is a recidivist fraudster.
Rather than firing Lisa, I think you should give her a second chance. I believe she’s highly unlikely to recidivate.