Bandeer: Hm? What are you saying?
Oli: I will leave you a message, just check your room today! I don't want Todor to-
Todor: What do you not want exactly?
Oli:... Oh so you are here...
Todor: I just got here.
Oli: Whatever, Bandeer, check it.
Bandeer: Sure sure, I will.
Todor: Really? Okay then, I will just take my afternoon nap then.
_____________________________
Bandeer knocks at Oli's door at midnight and it's opening soon.
Oli: Come in.
Bandeer: So what do you want?
Oli: We can beat Todor in the next game. Nothing could save him this time.
Bandeer: Kukuku! Are you kidding right? How could we when literally everyone helps him?
Oli: So why are they helping him?
Bandeer: Well, money obviously.
Oli: As you say. Bandeer, I know you still have the money you won on that russian roulette game.
Bandeer: Agh- What are you talking about?
Oli: Is it true? Bandeer?
Bandeer: Kukukuku... Well, I never said it's not the case. Greg said it to me but he was wrong.
Oli: No he was not, he knew it all along, probably.
Bandeer: Oh? Really? So what do you want to get out of this hah? Are you suggesting that we should promise the players more money than Todor does?
Oli: That's basically it.
Bandeer: Oh, I see, you really want to win... So tell me, why should I care?
Oli: You have money, what else could you need? Even more fame than what you have already. You are in the same match as Todor.
Bandeer: How do you know?
Oli: The reason I had to talk about it is because the tablets refresh and show the two match details after midnight, so the referees can't change it if for some reason they want Todor to win.
Bandeer: Oh I see, so they can't change it, and you are not playing either against me or Todor, so I must play against Todor, interesting.
Oli: Imagine how much more famous you could get, the one who came up with a strategy to, and actually beat Todor.
Bandeer: Hmm, yeah, this doesn't sound half bad. If I understand you right, then you would even let me steal the spotlight from you so it would look like it's only because of me Todor has fallen?
Oli: Yeah, that's it. There should also be a failproof strategy to eliminate Todor then. We should act now, leave a message for everyone.
Bandeer: You think everyone will work with us?
Oli: You say someone wouldn't?
Bandeer: Amelia might not. Not sure though.
Oli: That should be okay. She's playing against me.
Bandeer and Oli leave messages to the other players, slipping papers under the gap of their doors. Next day, when everyone is awake and Todor is not around, people start to meet up with Bandeer in a rarely visited room inside the hotel, only to avoid Todor getting suspicious. There was a sequence written for everyone they have messaged, even Oli was the part of the sequence, making sure that it all seems like that Bandeer came up with the entire thing. Everyone also got a paper from Bandeer on the strategy to make sure Todor is being eliminated.
The foolproof strategy seems like this:
There has to be a player in the alliance who will start with the bet, this player will be the one who is in the left next space to Todor. This player will bet 10 value exactly, in the next round, the one left to him will bet exactly 10 too, and then the one to the left of that player will bet 10, then the pattern repeats. Notice how the player right to Todor does not bet, this player is actually Bandeer. So three players will bet exactly 10 three times, that is 9 turns, and on the last final turn, Bandeer will bet all 30 value he has to make an unbeatable bet.
This strategy logically will cause an individual's elimination. Because you let's assume that the player they using this strategy against, so in this case Todor won't bet a single value in any of the rounds, that would mean that Todor will have 0 winner bets, 3 players will have 3 winner bets and Bandeer will have 1 winner bets and the winner will be decided among the three players who have 3 winner bets. Now let's check what if Todor bets. There is no reason to not bet in the first 9 rounds then bet on the last round, because 1 winner bet is not enough to win and also it would only tie the 30 value bet from Bandeer which would mean that no one gets a winner bet. The most optimal way to get a winner bet is by betting just 1 more value than the one who would win the bet if you wouldn't bet. With having only 30 value to bet with, how many times can you outbet someone if someone will always bet 10? Only twice, with bets of 11, and 2 times 11 is 22, that is the bare minimum to outbet two 10 value bets, then you are remained with a total value of 8 to bet with, but since there won't be a bet lower than 10 ever, you cannot win more bets, just 2. Out of three players, you can stop 2 players to win a bet, but as we seen before, 3 player would get 3 winner bets, stopping two then there will still be one with 3 winner bets, and with that remaining value you can't win a bet either against a 10 or the final 30 value bet. In conclusion, even if the game is played perfectly by the individual with the disadvantage of being teamed up against with this strategy, you simply cannot win, it's impossible.
Bandeer didn't care to win this match only to make another reason to accept this strategy, because then the other players will also have the chance to win the additional 10 million so they won't betray the plan.
For the ones that are playing in the same match as Oli, they signed a contract with the presence of a referee that they will all resign to instantly make Oli the winner of the match. For exchange, they all get 10 million dollars from Bandeer. This is what Oli and Bandeer have agreed to beforehand.
