Intellectual problem: How do five pirates divide the gold coins? After five pirates robbed 100 gold coins, they discussed how to distribute them fairly. They agreed on the distribution principle is:
(1) Draw lots to determine each person's distribution sequence number (1, 2, 3, 4, 5);
(2) Pirates who draw lots. 1 Propose a distribution plan, and then five people will vote. If the plan is agreed by more than half of the people, it will be distributed according to his plan, otherwise 1 will be thrown into the sea to feed sharks;
(3) If 1 is thrown into the sea, No.2 puts forward the allocation plan, and then four people are left to vote. If and only if more than half of the people agree, they will be allocated according to his proposal, otherwise they will be thrown into the sea;
4 and so on.
Assuming that every pirate is extremely intelligent and rational, they can make strict logical reasoning and rationally judge their own gains and losses, that is, they can get the most gold coins on the premise of saving their lives.
At the same time, assuming that the results of each round of voting can be implemented smoothly, what distribution scheme should the pirates who have drawn 1 put forward to avoid being thrown into the sea and get more gold coins?
Answer to the puzzle: Five pirates distribute gold coins as follows: 1:96 2:0 3:0 4:2 5:2.
First of all, when voting on the proposal of 3, 4 will support 3, because otherwise he will die against 5.
Therefore, if 1 2 dies, the scheme of 3 must be 100, 0, 0, and it will be supported by 3 and 4. At this time, the payoffs of 4 and 5 are 0, so 1 2 can bribe 4 and 5 to get support.
At the same time, the expected return of 3 is 100, and he will be desperate to oppose 1 2.
And if 1 dies, the scheme of 2 must be 98,0, 1, 1, and it will definitely pass.
Therefore, the optimal scheme of 1 is 96,0,0,2,2, which will definitely pass.
In fact, 98, 0, 0, 1, 1 are also possible, and they may all pass (depending on the mood and cruelty of 4 and 5).
High IQ puzzle recommendation: hat problem A group of people have a dance, and each person wears a hat on his head. There are only two kinds of hats, black and white, and there is at least one kind of black. Everyone can see the color of other people's hats, but he doesn't know his own. The host first shows you what hats others are wearing, and then turns off the lights. If someone thinks he is wearing a black hat, he will slap himself in the face. The first time I turned off the lights, there was no sound. So I turned on the light again and everyone watched it again. When I turned off the light, it was still silent. I didn't get a slap in the face until I turned off the light for the third time.
How many people are wearing black hats?
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If there are *** 13 identical balls, and only one of them has a different weight (unknown weight), I will give you a balance, only weigh it three times, and find the balls with different weights.
The fourth coin problem
16 coins, A and B take some in turn, and the number taken each time can only be one of 1, 2, 4.
Whoever gets the coin last will lose.
Q: Does A or B have a strategy to ensure their victory?
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Question: How old are the three children?
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