Hello folks. Long time no see. And I am only back to ask a rules question ...

It is about Rivalry in multiplayer. I always thought it was clear what it does until I actually played with it and a friend of mine told me that "any" can be used differently in english than I would translate it, so ...
Rivalry
Enchantment
2R
At the beginning of each player’s upkeep, if that player controls more lands than
any other, Rivalry deals 2 damage to him or her.
My interpretion was that just one player with less lands than you means you get damaged, read: you get damage every upkeep unless you are the one with the lowest number of lands. But my friend said that "any" doesnt translate into "any ONE" but into "all other". I am not sure about it.
So, there are four players.
A = 6 lands
B = 5 lands
C = 4 lands
D = 3 lands
Who would get damaged by Rivalry during his upkeep, A-C or just A?