How to sort the rating table?

Question

MySQL

Hello everyone, there was a task to make a user rating. There is a separate table with user ids and their "points" - score. Periodically (presumably 2-3 times per minute) this table will change 2-5 positions at a time. Quite often it is necessary to output a given rating sorted by score. How to work with this rating?
So far, I see 2 options:
1) It's trite to sort through sql queries with each request to display the rating (there are some doubts about what should be done with positions that have the same number of points).
2) Add a column with positions in the rating. With each change in points in the rating, carry out either a complete sorting or sorting in the area where the rating changes (if the user jumps, say, 50 positions up, then the rating will change for these 50 positions).

Answer 1

Add a descending index on the score column and use the standard ORDER BY sort.