Game mode idea

I have been thinking that in most of the games there are plenty of people who are happy with second or third place and don't fight any longer to reach first place.
So what if we have a game mode which:
I believe this would make the game a little more cutthroat, forcing you to turn agains your allies.
So what if we have a game mode which:
- - can be ranked or not
- only the first will get a gold medal, the rest will not get anything
- if ranked only the first one will get an increase in rank, the rest will all decrease in rank (based on their position)
- in order to make sure that people don't team up in multiple games and let eachother win, the decrease in rank for second place and below should be enough so that, if you get second place in one game, you will need at least 2 wins to get back to your original rank
I believe this would make the game a little more cutthroat, forcing you to turn agains your allies.