Board Game Arena

These are the final positions in the tournament:

https://en.boardgamearena.com/#!tournament?id=12099

Now, me and another player tied at the top.
It is a Quarto tournament, so there is no points differential, i guess.
In the head to head game, i won over him.

So, my question is why i get the 2nd place and he gets the 1st place.

I really would like the rules to be clear, which i find they are not.

And thanks in advance to whoever explain it to me, because the logic of that 1st/2nd place seems really wrong.

I read on some older thread:

If it's still a tie-match, who has more ELO qualify to next round (or get victory point in swiss and round robin system)

Thanks for the replay.
The thing is, it makes no sense. I beat him. So I have beated more ELO points than him summing all the players i beated.
Plus, and this is crucial, that system means that the rich gets always richier. Makes no sense.

And, again, as a first tie breaker (when there is no point differential), it should be the result of the match between the two players. Not my idea, but the way the Round Robin tournaments all around the world are played.

maybe this answeris too late. I think you can count the sum of the scores of all players who you won.
This shows who has the stronger opponent.