Player A. has 100,000 chips
Player B has 82,000 chips
Player C has 40,000 chips
Player D has 8,000 in chips.
The game is at 1000/2000 so big blind is 2000 small is 1000.
With this player D could play 1 in every 10 hands and still stay alive while player A bumps the rest out of the tournament. With an ante in place every player must put 200 additional in the pot. Player D still has the same odds with winning hands however the longer he waits to get into a hand the less chips he has to gamble with, therefore he is forced into a lot more action. Player D can no longer stay alive playing 1 in ever 10 hands because doubling up on hand 1 would be 8,000x2=16,000, where doubling up on hand 4 would be only 7,200x2=14,400, a drastic difference.