Here is (hopefully) a more simple way to explain the system:
War is over. We have all 13 icons listed from winner to loser. We will then sort out the betting winner using a system of 2 Phases.
PHASE 1
1. List all bets that have the correct winner. Discard the rest.
2. List all bets that have correct winner and 2nd place. Discard the rest.
3. List all bets that have correct winner, 2nd place and 3rd place. Discard the rest.
etc.
We will follow the steps above in numeric order until no bets meet the qualifications. We will then stop and go back to the previous step when we did have one or more bets that did met the qualification. If at that point have only one bet let, that bet is the winner, if not, we go to phase 2.
PHASE 2
From all the remaining bets, count the total number of correct positions. Order has no relevance. In other words, if I get correct places 1, 8, 12 and 13, that would give me 4 points.
The bet that gets the most points, wins. If two or more bets have the same amount of points, those bets will move to phase 3.
PHASE 3
People with the remaining bets will fight for the prize in a mini-tournament.
Short version:
PHASE 1
Longest continuous strong of correct guesses starting from the winner
PHASE 2
Total number of correct positions guessed
PHASE 3
PvP