Greg and Adam watches the 0 pointers match in the main hall
Greg: As I thought. These games are boring, they are making so obvious mistakes, no wonder why they didn't win a single time.
Adam: Hmm... Still, I think I will spectate these matches.
Greg: I will go back to my room for now, and anyway, I think you should check those guys you will play against, that's what I will do as well.
Adam: Maybe, you're right.
Greg in his room:
Greg (Let's see, one of my opponents are, Brielle? Never heard about her, looking at her games she played before, it's obvious she's smart, but I don't think she would cause so much trouble. Next one is Oli. Interesting, he does not seem to be too smart at all, the way he won the first two games, he never really did anything, huh, just a random lucky guy to win the first two games ha? The final one, of course, it's Todor, he will be the real challenge.)
Then the matches of the 0 pointers ended.
Adam: That's it? Anyway, is there even any way to play this game with logic? isn't it just luck? Ah? Greg?
Greg: Hallo.
Adam: You already done?
Greg: Yeah, the only one I will have to worry about is Todor it seems like. Well, how were the matches?
Adam: It was not too intense.
Greg: Of course. So? Are you ready for your match tomorrow?
Adam: Well, I don't think I could do anything in preparation.
Greg: Then, good night.
The next day:...
Referee: all 1 pointers! We will now send you all to the locations of your matches!
Adam: Okay, it's time, just stay calm.
Greg: I will spectate your match.
Adam: Okay. I better go now, see you soon.
Greg: Wait.
Greg looks around to see if anyone is watching.
Greg: Take this, you could find a good usage of it.
Adam: What?
The referee takes Adam and his playmates to where they will play.
Referee: Here we are, you will sit in this sequence.
Frank, Karson
Joe, Adam
Referee: Any questions, or can we start the game?
.
.
.
Referee: Then why to waste any time? Please, take your seats. From now on, this match can be watched live in the hotel by anyone. I already gave you your cards. Round_1 starts now, you all have 5 minutes to decide your plays!
Everyone sits at their place and stays silent.
While in the Hotel, Greg is in the main hall, watching Adam's match, then Todor goes there.
Todor: Good afternoon, Greg. Mind if I join you watching the game?
Greg: Todor? Hi, yeah, why not.
Todor: So that guy Adam is your friend, right?
Greg: Yeah, so?
Todor: I'm curious how smart he is, but the fact that he only has 1 point.
Greg: Yeah, there are surely some people smarter than him in this show, but as I saw he is only having 1 point because he got paired with really smart ones, like with Bandeer at the first game, and then you in the second.
Todor: Oh, yeah. Speaking of Bandeer. I saw your game against him. By now, I'm sure since then everyone is afraid of getting in the same group as you.
Greg: Same goes to you. You surely noticed already, but some people are watching us.
Todor: Yeah, I did, but it's just natural. Anyway, I have a question.
Greg: Hm... Then? What are you waiting for?
Todor: In the last game, when you played against Bandeer. Why did you make everyone a winner? You also know that it's very important as well to make people not win any points.
Greg: Like why would I tell you?
Todor: Let me guess. Is it because you are afraid of me?
Greg: ... Like there is no way you wouldn't figure out huh? Well anyway, I wouldn't say I'm afraid of you, I'm not scared to lose, it just increases my chances to win.
While in the match:
Adam (Okay, this is the first round, what should I do? Should I go with the mathematically safest strategy? Let's think about it)
If uses No Action, there is 4 possible outcomes:
-1: 3NA & 0A = Neutral, everyone loses the same amount
-2: 2NA & 1A = Negative, loses 1 and someone gains 3
-3: 1NA & 2A = Negative, loses 1 and TWO gains 1
-4: 0NA & 3A = Positive, gains 3 and everyone loses 1
-AVERAGE = Neutral-Negative (-0,25)
If uses Action, there's also 4 possible outcomes:
-1: 3NA & 0A = Positive, gains 3 and everyone loses 1
-2: 2NA & 1A = Positive, gains 1 and TWO lose 1
-3: 1NA & 2A = Negative, loses 1 and someone gains 3
-4: 0NA & 3A = Neutral, everyone loses the same amount
-AVERAGE = Neutral-Positive (0,25)
Adam (That's right, playing an action card is the safest option, then it's decided)
Referee: Everyone used their card. So let's reveal the results:
Round_1:
Adam: Action (9) -1
Frank: Action (9) -1
Joe: Action (9) -1
Karson: No Action (13) +3
Adam (Of course... In this situation there was nothing I could have done, if i would have played No Action then I would have lost 1 as well.)
Referee: The 2nd round starts now, 5 minutes!
In the hotel
Todor: Seems like Adam got a bad start, how unlucky.
Greg: It's just the first round, it doesn't matter much. Also it's not sure that it was pure unluck.
Todor: Yeah, I know, but there is no reason to think about it otherwise. You can't know for sure.
In the match:
Adam (Wait, now that we don't have the same amounts of points the value of Action and No Action cards changed! This time 4 of the same card is good as well, because it would shrink the gap between me and Karson! But still, Action is once again more valuable.)
Referee: All players decided their actions, let's check the results:
Round_2:
Adam: Action (10) +1
Frank: No Action (8) -1
Joe: Action (10) +1
Karson: No Action (12) -1
Referee: Round 3 starts now!