Akiyama's strategy

With this strategy, Akiyama plans to win the second round of the Tournament.

SPOILER FOR EP3

Round Two: Akiyama's winning strategy

Nao doesn't care about the prize money, she just wants to get out of the game.
Akiyama came up with the idea of creating teams for this purpose.

There is a total of 22 participants. From these, he creates a team (1) of 8 members, including Nao and Akiyama.

When a question is set, each half of the team votes for YES and NO respectively.

Example:


Logically, half of the team is going to proceed to the next round.
At the first question, the closest outcome possible is when the players not in the team split up with 6 votes against 8.
(with 7 against 7 it ends up in a draw)

↓
10 players remain in the game.

At the second question, the team is again divided into half. The closest outcome possible is when the other players split up with 2 votes against 4.
(with 3 against 3 it's a draw again)

4 team members remain in. Once again, they are divided up equally.
This leaves only two possible patterns of answers:

(1)

(2)

If the voting results in the 2nd pattern, it's a draw, so the voting will be repeated until the 1st pattern emerges.
That means, that in the end one of the players is bound to remain.

Now what if there is no close outcome?
Let's assume that after the 1st question we get this:

The following question will lead to:

This decides the game - with only two players remaining, there is no minority vote.



★ Distribution of prize money using this method:

(1) if one player wins:
The winner receives 2100 million yen.
Half of this money goes back to LGT Office for not taking part in the third round.
1050 million yen remain.
The other 7 members need to return 100 million yen each to the Office, for losing the second round.
For this, 700 million yen are needed.
The remaining prize money amounts to 350 million yen.
Divided through 8 members, each person ends up with a share of 4,375,000 yen.
(for the losers the game has already ended, so they don't need to pay half of their prize money to get out)

(2) if two players win:
Each person receives 1000 million yen.
Each of them needs to return half of their prize money to LGT Office for not taking part in the third round.
This leaves each of them with 500 million yen.
The 6 team members who dropped out before are divided in two groups, assigning 3 of them to each of the winners. They need to return their debts of 100 million yen to the Office, so each group ends up with 200 million yen.
Dividing this amount by 4 members per group leaves each person with 50 million yen.

This means that in both scenarios, all team members have a chance to win money.

★ Why have 8 members?
This number allows each member to get the highest amount of money while ensuring certain victory as few members as possible. 9 or 10 members would work as well. But if the number gets any higher, there is only debts to win. And if we have only 7 members...


Closest possible outcome for the first question:

And now, if we assume that the second question ends on the closest possible outcome again:


Now we have one member against three other players. Certain victory has become impossible.
Something like this might happen:

With even less members, say 5 or 6, certain victory is out of reach.

Problems:
○ The team members. The strategy fails if there's a traitor inside. Akiyama had the members sign contracts.

○ The unknown player "X" who stole 100 million yen from Michiko Takada. Because X already has 100 million yen (making it 200 million yen with the money for the second round), X could pay for his debts even after losing in this round.

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Round 2 Rules

Round 2 Official Rules (from official web site)


Tournament Rules: Round Two

In the second round, the winners from the first round(*if they wish to participate) get together, and play for 100 million yen each, once again lent to them by LGT Office. Each nameplate handed to each participant contains jewels worth 100 million yen. Losers will have to put down their plate and leave. However, just like in the first round, they must return their 100 million yen to LGT Office.

* Players who do not wish to participate must return half of their prize money from the first round to the Office. Nao won the first round, but because she handed all of the money back to her opponent, Mr. Fujisawa,she couldn't return the money to the Office.

What is the "minority voting" in the second round about?

In this game, the winner is decided by simply using a method opposite to "majority voting"

1) One of the participants makes a question. Only questions which can be answered using YES or NO are allowed.

2) All of the participants (including the person who made the question) must vote either YES or NO within a time limit of 6 hours.

3) The side with less votes is declared winner.

4) This procedure is repeated until only one or two winners remain. Because it is not possible to make a minority vote with only two persons (it is impossible to decide win and loss), the game ends at this stage.

5) If there is only one winner, the prize money will be x 100 million yen - 100 million lent by LGT Office in the beginning.
If there are two winners, the prize money for each of the two will be x 100 million yen / 2 - 100 million

6) The losers will have to return the 100 million they were given for use in the game to LGT Office.

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Episode 3 Article

03: Can you escape from being in a "group"?
Edited one line that I got very wrong. OTZ

"Minority rule!" Isn’t that a very spectacular development?

Can you remember Leronira’s speech at the closing of episode 2?

“Everyone, you all know about majority rule, right? That is used in making decision in meetings and elections. In the modern era where democracy is widespread, decisions are indeed made by majority rule. Usually, the majority gets to lead, and the minority bears a disadvantage.”

“However…, the game you will now play, is the complete opposite!”

“Majority dies, and minority survives… It’s “minority rule” game!”

Tyranny of the majority, the strong exploiting the weak, to those of us disgusted with majority rule, this [game] is like a soothing cup of tea. This is uncompromising spirit, this is what we call “being rebellious”… Is that really true?

Ultimately, our anti-hero Akiyama is the sharpest!

Minority rule, as Akiyama noticed is simply “majority rule” in disguise in the end. By “reversing” twice you end up going around full circle, that is to say that you can turn an impossible minority rule [situation] into an accomplishable majority rule [situation].

That's correct, normal “majority faction endeavor” (increasing the number of supporters) compare to, “minority faction endeavor” (decreasing the number of supporters) do not seem all that similar. However, that’s only if we think of this as an individual-centered activity. If a few people form a team, and beforehand set rules and vote repeatedly in a logical fashion, then “someone” on the team would always get to stay for the next round! It doesn’t matter if you win individually, in the end it only matters if you win as a team. That’s what Akiyama discovered.

This is again, in some sense “majority faction endeavor” in work.

With great pain to those who wishes to oppose majority rule [with this game], by visualizing a reversal you can see, this is probably just an “empty dream” (what cannot be realized).

Nonetheless, humans are made to be “social animals”, in other words, we are creatures that can collaborate with one another. Even if an individual is weak, when a few people work together, they can still become very powerful. In truth, in primitive environment, humans formed groups for better survival, now, it is clear that even though everything has advanced, groups are still flourishing.

That is the reason why majority rule exists.

Now, I think everyone would agree, tyranny of majority is always a risk, and we want to beat it, to the brothers and sisters with that sort of uncompromising spirit, there is good news.

That is, the means of using majority has changed through out human history, at the same time things have changed so that in some situations “minority faction lead majority faction,” this is reality.

In the beginning, you are a one person minority, you are weak and helpless, then somehow you gain supporters, and when you realize you have become a majority, you can finally get your victory.

If you study human history carefully, you would find many examples of “minorities becoming majorities.”

In any case, even if we don’t talk about history and other significant events like that, this is exactly what Akiyama did in this round of “Liar Game”.

In the beginning, Akiyama was the only one who thought of this “guaranteed win method”. At that time he could be seen as a minority. Then, Nao agreed with him, and his supporters increased one by one, eventually, a majority was formed and he had total control over this situation.

We humans, are not just social animals, we are also capable of sharing our ideas, we are animals that communicate with each other. It’s because we can analyze and understand what is right, I believe that in the near future, we can change the usage of “majority and minority” for the better.

People, there is no reason to feel embarrassed because you are a minority.

Be true to yourself and live [the way you want to live].

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