Five pirates are divided into one hundred spheres. How can they maximize the division of interests and get recognition?
5th: Disagree or conditionally agree.
Turn to page 5, and this state is formed by:
1 Get 0 gems and die.
Get 0 gems and die.
3 get 0 gems and die.
4 Get 0 gems and die.
5 get 100 gem, live, agreed.
This pirate is the last turn, there is no danger to his life, and there is no need to "agree"! Unless you get some benefits.
But it is difficult for him to get benefits, because other pirates are also very smart!
In fact, of course he will realize this.
Therefore, pirates will not agree to other people's plans unless they get certain benefits.
Fourth: agree.
Turn to page 4, and this state is formed by:
1 Get 0 gems and die.
Get 0 gems and die.
3 get 0 gems and die.
If you get 0 gems, you won't die (but maybe). Agreed.
Get 100 gem, live, agree (or disagree).
What this pirate is most worried about is his turn (pray ...). Even if all the gems of 100 are given to No.5, he may not die (it is still risky), otherwise he will die! (Note that more than half agree, that is, it is not enough to reach half, otherwise you can keep it all for yourself. )
So this pirate will agree to other people's plans anyway, otherwise it will not do him any good, but will increase the danger of approaching step by step!
Third: Disagree or conditionally agree.
Turn to No.3, and the formed state is:
1 Get 0 gems and die.
Get 0 gems and die.
Get 100 gem, live, agreed.
4 get 0 gems, live, agree.
5 get 0 gems, live, disagree.
At the third turn, he will never please No.5 because he doesn't know how many degrees it takes to agree. If he wants to curry favor with No.4, it is enough to give him 1 gem, but there is no need to curry favor with any of them, because No.5 will realize this, so No.5 will definitely "disagree" and No.4 will guess this, so No.4 will.
But can it be his turn?
The problem is that the pirate is too clever. In fact, he thought further and suddenly felt wrong, because it would not be his turn. The pirate in front of number 2 is not that stupid. Maybe he can't get the next one, so in the scheme of 1, his requirements become very low. "Please give me 1 gem from 1 and I will promise" ... @ $%&; *), haha:), as soon as possible, well, one counts!
Therefore, this pirate will definitely not agree with other people's distribution plan unless he gets a little benefit.
Second: disagree.
Turn to No.2, and the formed state is:
1 Get 0 gems and die.
Get 99 gems and live. Agreed.
3 get 0 gems, live, disagree.
4 get 0 gems, live, agree.
5 get 1 gem, live, agree.
If it's the pirate's turn, he takes 99 gems and gives them to 15!
Reason:
No.3 doesn't agree, because he wants to get the chance of 100 gem (if he gives more than 1, he may agree).
Agree on the 4th, otherwise there will be many disadvantages and risks.
Just give him 1 gem on the 5th, or you won't get it in the next round, so you won't get it for nothing!
Therefore, this pirate will not agree to the distribution plan of 1 unless he is given 100 gems.
Actually, it's not. Are all wrong ideas. Blame them for being so smart!
Because he knows he can't. 1 Very clever. Has he found out? 1 will be divided into 99,0, 1 0, so it's not his turn. The idea of getting 99 is wishful thinking, which is impossible for NO. 1 give him 1-2 gems. He knows that 1 is a gem.
Issue 1: Of course the pirate is smart. He already knows what the pirates behind him are thinking. First of all, No.4 will definitely agree (because he doesn't have any gems in any round, if he doesn't agree early, the situation may change and there will be risks), so it will be safe to find another pirate to agree. Who are you trying to please? You still need to think ... Khan!
No.2 will definitely not be given. If I do, I may get nothing.
Give it to 1 on the 3rd, or he won't get any in the next round.
It may not be enough to give 1 gem on the 5th (unless two gems are given, because he still has a chance to get 1 gem in the next round (when the decision is made on the 2nd), so why should the 5th rush to agree? Don't worry. )
The state of the final outcome is:
1 Get 99 gems, broadcast live, agreed.
Get 0 gems, live, disagree.
Get 1 gem, broadcast live, agreed.
4 get 0 gems, live, agree.
5 get 0 gems, live, disagree.
Namely: 99,0, 1, 0,0 (No.65438 +0).