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Chapter 232: The Game

After temporarily getting the home key patent, Liu Meng thought about the game with Du Yi. He was very interested in games, but he has always had super learning ability. A typical academic master immediately wanted to study game theory and found several electronic versions of books to start looking. ()

In addition to having a strong mentality, you also need to have knowledge. Knowledge is power. It is true that using knowledge to arm your mentality is the true nature of a top student.

I picked up the book and read it page by page. In fact, game theory involves a lot of knowledge about the establishment and analysis of probability theory models. Probability theory can actually be regarded as a synthesis between number theory and random theory. These two fields are exactly what Liu Meng is best at. He can understand a page almost by looking at one page, and it is very quick to read. He quickly figured out the theory and saw a very interesting story about the prisoner's dilemma.

A story about a policeman and a thief. Suppose there are two thieves A and B who commit a joint crime and break into a private house and are caught by the police. The police placed the two in two different rooms for interrogation. For each suspect, the policy given by the police is: If both suspects confess their crimes and hand over the stolen goods, the evidence is conclusive, and both are convicted and sentenced to 8 years in prison.

If only one suspect confesses and the other person fails to confess but denies, he will be sentenced to two more years for obstructing public service, and the confessor is commuted to 8 years for his meritorious service and is released immediately. If both of them deny, the police will not be sentenced to theft for the sake of insufficient evidence, but they will be sentenced to one year in prison for one year for the crime of private entry into a private house.

For a, although he doesn't know what choice b makes, he knows that no matter what b chooses, it is always the best to choose "confession". Obviously, according to symmetry, b will also choose "confession", and the result is that both of them are sentenced to 8 years in prison. However, if they both choose "denied", each person will only be sentenced to 1 year in prison.

After Liu Meng pondered for a moment, he felt that game theory was indeed interesting. This was a theoretical analysis of people's hearts, and soon he came to the next story.

The two travelers returned from a place known for producing fine porcelain vases. They both bought vases. When they were collecting their luggage, they found that the vase was broken, so they claimed compensation from the airline. The airline knew that the price of the vase was about 10 yuan. But they didn't know what the exact price was when the two passengers bought it.

Therefore, the airline asks two passengers to write down the price of the vase within 100 yuan. If the two people write the same, the airline will think that they tell the truth and compensate according to the amount they write; if the two people write differently, the airline will determine that the passenger who writes the truth is telling the truth. In principle, the airline will compensate at this low price. At the same time, the airline will reward passengers who tell the truth for 2 yuan, and the passenger who tells the lies will be fined 2 yuan.

In order to get the maximum compensation, the best strategy for both parties A and B was to write 100 yuan, so that both of them could get a compensation of 100 yuan. But no, A was very smart. He thought: If I write 1 yuan less and turn it into 99 yuan, and B would write 100 yuan. In this way, I would get 101 yuan. Why not? So he was going to write 99 yuan. But B was smarter. He calculated that A would calculate that he would write 99 yuan, so he was going to write 98 yuan. Unexpectedly, A would be more smarter, and it was estimated that B would write 98 yuan to cheat him, so he was going to write 97 yuan...

When playing chess, don’t you say you need to look at a few more steps? The further you see, the greater the chance of winning. If you look at two more steps, I will be stronger than you, and I will be more wiser than you, and I will be more wiser than you. In the example of a vase claim, if both of you are thoroughly rational and can see through more than ten or even dozens or hundreds of steps, then the result of the "smart competition" above will eventually fall to the point where everyone only writes one or two yuan. In fact, under the assumption of thorough rationality, the only Nash equilibrium in this game is that both of you write 0.

After reading it, Liu Meng shook his head. This is the case in real life. He is not worried about lack of worries but unevenness. This is the bad nature buried in everyone's heart. This is what is called taking advantage of small gains and losing a lot. He wants to take advantage of the benefits, but he will suffer a big loss in the end.

After reading for only a few hours, Liu Meng began to try to analyze the game model between him and Du Yi. How could he have the advantage when his mentality is calm? Liu Meng could not take the initiative to contact Du Yi, and once he contacted, he lost the initiative, but he wanted Du Yi to take the initiative to contact him and get further information.

This is like a cockfighting game. Just imagine that two people meet in a narrow road, each of them has two choices of action: one is to retreat, and the other is to attack. If one side retreats but the other side does not retreat and the other side wins, the person will be very embarrassed; if the other side retreats, the two sides will tie; if they do not retreat and the other side retreats, they will win and the other side will fail; if both of them advance, then both will suffer losses.

In this game, the two participants are equal subjects. When both sides choose a forward strategy, it is equivalent to threatening the other party that they will enter a mutual threat state of ultimatum game. This game has two purely strategic Nash equilibrium: one side advances, the other side retreats; or one side retreats, the other side advances.

But the key is that it is difficult to predict who advances and who retreats, so that the result of this game is difficult to determine. Of course, there is also a mixed strategy equilibrium, that is, a random choice to advance or retreat. If a game has a unique Nash equilibrium point, then the game is predictable, that is, this Nash equilibrium point is the only game result known in advance. However, if a game has multiple Nash equilibrium, then to predict the result, additional detailed information about the game must be attached.

For example, two cars running towards each other meet on a narrow road and do not give way to each other. Two people drive along the middle line of the road at the same time, which will lead to the risk of a collision. If one person turns the car at the last moment, it is considered a coward; if two people refuse to turn, the two cars will collide, and both will either die or be injured; and if two people turn the car at the same time, there is no winner in this game.

The subtlety of the coward game is that it seems to prove that in some cases, the more irrational a person is, the more likely he is to become a winner and get the higher the ideal profit. He vividly calls the side who tends to retreat and give way to the way cowards, and the side who moves forward bravely and sticks to the end is called the outlaw. Obviously, in this game, the coward is more rational than the outlaw, because losing face is more cost-effective than losing his life. However, on the other hand, it is precisely because of the reason of the coward that the outlaw is easier to gain advantage, and in comparison, it seems better to be a outlaw.

Liu Meng touched his chin and began to ponder, as if it was easier for a desperate to win when a desperate was in the process of confrontation between two people, but being a desperate does not mean that you are the one you are, but that you want to make the other party believe that you are the one you are. So the problem is?

How to make Du Yi believe that he is a bastard and doesn't value women at all. It's better that he feels that he is purely a woman, doesn't care about her at all, and doesn't care about this so-called child. Only in this way can he be distracted.

Liu Meng pondered: "That must be proved that I am a playboy, and I am very romantic, but I am not, how can I prove it?"

While thinking, Su Ling came in with a plate of fruit, which were all cut into several kinds of fruits. There was a fork on the plate. Seeing his appearance, he smiled and said, "Great Researcher, don't study it first, take a break and eat some fruit."

Since Liu Meng explained to her that the researcher is similar to the professor, Su Ling has called Liu Mengda from time to time. Liu Meng knew that she was teasing her, and didn't care. She was thinking while eating fruits, and suddenly asked: "Su Ling, how can I make others think that I am a romantic playboy?"

Looking at Su Ling's eyes very seriously, waiting for her answer. Su Ling suddenly became nervous when she was looked at like this and asked such a thing. Her heart was pounding. I wonder why Liu Meng suddenly asked such a question. What was the hint, but... but Su Ling was particularly afraid that he would misunderstand.

The two became more and more familiar with each other, and she became more and more restrained in front of Liu Meng. She didn't know where she had lost her previous boldness and methods. But... But if it were Liu Meng's hint and she had no expression, wouldn't she have missed a great opportunity? For a moment, Su Ling was so entangled that she had a pink face and a rapid breathing.

Facing Liu Meng's staring eyes and waiting for the answer, Su Ling replied, "I...I..." I wanted to say that I would be your woman, and I had no other requests, but I couldn't say this. She was afraid that she would be rejected by Liu Meng. It would be better to keep what she is now, stay by his side, take care of his daily life, and make fun of her occasionally, and she already felt very happy.

Liu Meng sighed and said, "You don't know, even if it's over, I need to make others think that I am a romantic person, and I am the kind that is worse than beasts."

Su Ling sighed secretly, and at the same time, she felt a little disappointed in her heart. She flashed across her face and immediately smiled and giggled, "So that's the case. That's not simple. Find more women, confess more to a few more women, and then abandon the woman who loves you very much. Haha, there was a little girl Liu who kept clamoring to confess to you before, and Miss Cheng and Miss Min are all ready-made candidates. I also heard that there is a girl in your school who is deeply in love with you."

Liu Meng was quite useful when she said it. The man's little thoughts were satisfied, and he couldn't help but feel complacent and narcissistic. Seeing that he was happy, Su Ling said jokingly: "Well, if it's not enough, I can also play a guest star in the female subordinate who is infatuated and infatuated." (To be continued...)
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