To vote, simply post all of the players (other than yourself) re-arrange the list according to your preferences. Players higher on your list will have a higher chance of being saved. Players lower on your list have a higher chance of being sent to the Duel.
In order to vote strategically, you'll need to know how the algorithm works! The process starts when the algorithm chooses the Challenge Winner and looks at his/her list. When the algorithm looks a list, it looks from top to bottom for the first person that has not been chosen yet. Once it finds the first person that hasn't been chosen, it chooses that person, looks at his/her list, and starts the process over.
The last person to be chosen is sent to the Duel. Whoever was last on his/her list is brought into the Duel as well.
After Day 1, the voting path is shown on the left to show who chose who. This process continues until the Final 3
The last 3 players will compete in a challenge to determine who wins. The score you get determines your placing.
You make a list of people top to bottom. The people closer to the top are the people you want to stay, and the people closer to the bottom are the people you want to go into the duel. Make sure you read the whole blog.