Fastest runner first

There are three players in the race. We are observing the race after every second (i.e. At second $0,1,2,3...$). At $0^{th}$ second, the score of all players are $1$. And no two players are at same position at the same time. After every second, the last player among them overtakes other two players. The score of that player after overtaking will be increased by double the score of player he