From the Ruleset:

2.7 Heroism
For the purposes of this Rule and its subrules, each Olympian has a Score equal to three times eir Gold Medals, plus twice eir Silver Medals, plus eir Bronze Medals, all times eir Popularity Multiplier That is, (3G+2S+B)*M. Eir Popularity Multiplier is 1/2 if e is Notorious, 3/4 if e is Unpopular but not Notorious, 2 if e is Star, 3/2 if e is Popular but not Star, and 1 if no other multiplier applies.

A Team has a Score equal to the total Score of its member Olympians plus the score an Olympian with its medals and a Popularity of 1 would have.

Any Olympian is considered a Hero and has achieved victory if:

1)E has a Score greater than any Team of which e is not a member.
2)If multple Olympians meet condition 1, e has a Popularity greater than or equal to all Olympians that meet condition 1.
3)If multiple Olympians meet conditions 1 and 2, e has a Score greater than or equal to all Olympians that meet condition 2.
If multiple Olympians meet all three conditions aat the same time, the first one to declare victory wins, as in past Dynasties.