Player rating for tournaments across all installments of Heroes.

Moreover, it eliminates the problem of the lack of a strong player with a good result.

In your first system, the maximum rating was 100, regardless of the leader's result. As a result, all tournaments using this rating system were equivalent, and, for example, a leader would receive the same rating for an easy map with no worthy opponents as they would for a tournament held on a difficult map with a large number of contenders for first place.

In the system with a "Virtual Player," another problem arises: now, a leader will receive more rating for a map that can be easily completed in 3 days than for a map that takes at least 100 days to complete.