I think you not only want to reward two full-time people, but also want to improve everyone's sense of team. But did the boss put forward this original intention to put an end to being late or to enhance team consciousness? I think it should be both reasons. As long as the team consciousness is improved, the phenomenon of natural lateness will not happen. Judging from what you said, there are only two full-time people, which shows that this method is not effective or has not stimulated the idea (it doesn't matter to everyone, it's too late).
Individuals have two choices:
1. Set up a special reward for attendance. It doesn't have to be much. Just take a part from 2000 yuan. You can apply to the boss, which will be relatively fair. Set aside 2000 yuan for activities.
2. It is suggested to establish a reward and punishment system, with rewards for attendance and deduction of money for lateness. Although the phenomenon of being late cannot be completely eliminated, at least the principle of fairness has been realized. Cancel the reward of 2000 yuan.