After temporarily finishing the matter of the home button patent, Liu Meng thought about the game with Du Yi, he was originally very interested in the game, and he has always had a super learning ability, a typical scholar, and suddenly wanted to study game theory, and found a few electronic versions of the book and began to look.

In addition to a super mentality, it is also necessary to have knowledge, knowledge is power, it is true that the saying is true, and arming the mentality with knowledge is the true nature of Xueba.

Picked up the book and flipped through the pages one by one, in fact, game theory involves a lot of knowledge about the establishment and analysis of probability theory models, and probability theory can actually be regarded as a synthesis between number theory and random theory, and these two fields are exactly what Liu Meng is best at.

A story of a cop and a thief. Suppose two thieves A and B commit a joint crime and break into a house and are caught by the police. The police interrogated the two men in two separate rooms, and the police policy for each suspect was that if both suspects confessed to the crime and handed over the stolen goods, the evidence was conclusive, and both were found guilty and sentenced to eight years in prison each.

If only one criminal suspect confesses, and the other person does not confess but denies it, the sentence is increased by two years for the crime of obstruction of official duties, and the confessor is commuted to eight years of sentence and released immediately. If both of them deny it, the police cannot convict them of theft due to insufficient evidence, but they can sentence them to one year in prison for the crime of trespassing into a private house.

For A, even though he doesn't know what to do with B. But he knows that no matter what B chooses, his choice of "confession" is always optimal. Obviously, according to symmetry. B will also choose to "confess", and the result is that both are sentenced to 8 years in prison. However, if they all choose to "deny", each will be sentenced to only one year in prison.

Liu Meng pondered for a while, and the more he felt that game theory was indeed interesting, this is a theoretical analysis of the human heart, and soon turned to the next story.

Two travelers return from a trip to a place known for producing fine porcelain vases. They all bought vases. When they claimed their luggage, they found that the vase had been broken, so they claimed compensation from the airline. The airline knows that the price of the vase fluctuates around eighty or ninety yuan. But I don't know what the exact price was when the two travelers bought it.

Therefore, the airline asked the two passengers to write down the price of the vase within 100 yuan. If the two write the same, the airline will consider them to be telling the truth and will compensate them according to the amount they wrote; The airline decided that the passenger who wrote low was telling the truth. And in principle, according to this low price compensation, at the same time, the airline will reward 2 yuan for passengers who tell the truth, and 2 yuan for passengers who tell lies.

In order to obtain the maximum compensation, the best strategy for both parties is to write 100 yuan, so that both of them can get 100 yuan. But no, A is very smart. He thought: If I write 1 less than $99, and B will write $100. I will get $101 this way. So he's going to write $99. But B is smarter, and he calculates that A wants to calculate that he writes $99, so he prepares to write $98. Unexpectedly, A has to be smarter, and it is estimated that B will write 98 yuan to trick him, so he is ready to write 97 yuan......

When playing chess, doesn't it say that you have to watch a few more moves, and the farther you look, the better your chances of winning. You look at two more steps, I'm stronger than you and see three more steps, you look at four more steps, I'm more scheming than you and look at five steps more. In the case of vase claims, if both people are completely rational and can see through a dozen or even dozens or even hundreds of steps, then the result of the "shrewd game" like the above will finally fall to the point where everyone only writes one or two yuan. In fact, under the assumption of radical rationality, the only Nash equilibrium in this game is for both to write 0.

Liu Meng shook his head after reading it, this is the case in real life, not suffering from widowhood but unevenness, this is the inferior root buried in everyone's heart, this is the so-called taking advantage of a small advantage and suffering a big loss, they all want to take advantage of it, and they will suffer a big loss in the end.

After only a few hours of reading, because he had a deep understanding of his theoretical knowledge, Liu Meng began to try to analyze the game model between him and Du Yi, in the case of peace of mind, how could he have the advantage? Liu Meng could not take the initiative to contact Du Yi, once contacted, he would lose the initiative, but he wanted Du Yi to take the initiative to contact him to get further information.

It's like a game of cockfighting, imagine two people meeting in a narrow way, and each person has two options for action: one is to retreat, and the other is to attack. If one side retreats and the other does not retreat and the other wins, the person loses face; if the other side retreats, both sides will tie; if they do not retreat and the other person retreats, they will win and the other will lose; if both advances, then both will lose.

In this game, the two participants are equal subjects. In the case that both sides choose to move forward, it is equivalent to threatening each other that they will enter a state of mutual threat in an ultimatum game. There are two pure Nash equilibrium in this game: one side moves forward and the other side retreats, or one side retreats and the other side advances.

But the key point is that it is difficult to predict who will advance and who will retreat, so that the outcome of this game is difficult to determine the risk. Of course, the game also has a mixed strategy equilibrium, that is, a random choice of forward or backward. In a game, if there is a unique Nash equilibrium point, then the game is predictable, that is, this Nash equilibrium point is the only game outcome known in advance. However, if a game has multiple Nash equilibriums, additional details about the game must be added to predict the outcome.

For example, two cars traveling in opposite directions meet in a narrow road and do not give way to each other. Two people drive along the center line of the road to each other at the same time, which can lead to a collision. If one person turns the car at the last moment, he is considered a coward, if both of them refuse to turn, the two cars will collide and both will be killed or injured, and if both people turn the car at the same time, there is no winner in this game.

The subtlety of the coward's game is that it seems to prove that the more irrational a person is, the more likely he is to be a winner and get the desired higher payout in a certain situation. Figuratively the side that tends to retreat and give way is called a coward, and the side that moves forward bravely and perseveres to the end is called an outlaw. Obviously, in this game, cowards are more rational than outlaws, because it is more cost-effective to lose face than to lose one's life. However, on the other hand, it is precisely because of this rationality of the coward that it is easier for the outlaw to take advantage, and it seems better to be an outlaw than to be an outlaw.

Liu Meng touched his chin and began to ponder, it seems that when one is in the process of two people fighting, it is easier to win when an outlaw is born, but being an outlaw is not to say that you are it, but to make the other party believe that you are, so the question is?

How to make Du Yi believe that he is a bastard, he doesn't pay attention to women at all, and it is better to feel that he is purely lustful for women, he doesn't care about Pan'er at all, and he doesn't care about this so-called child, only in this way can he mess with himself.

Liu Meng groaned: "Then I must prove that I am a playboy, and I am very romantic, but I am not, how can I prove it?"

Just thinking about it, Su Ling came in with a plate of fruits, all of which were several kinds of peeled fruits, and there was a fork on the fruit plate, seeing his appearance, he smiled and said, "Don't study it first, big researcher, 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 Meng a researcher from time to time, Liu Meng knew that she was ridiculing, and he didn't care, thinking while eating fruit, he suddenly asked: "Su Ling, how do you say I can make others think that I am a romantic playboy?"

Looking at Su Ling's eyes extremely seriously, waiting for her answer. Suddenly being looked at by Liu Meng like this, and asking such a thing, Su Ling suddenly became nervous, his little heart fluttered, I don't know why Liu Meng suddenly asked such a question, what is the hint, but ...... But Su Ling was especially afraid that he would be wrong.

The two are getting more and more familiar, and she is becoming more and more restrained in front of Liu Meng, and she doesn't know where to throw away her previous boldness and methods, but ...... But if it was Liu Meng's hint, and he didn't say anything, wouldn't he miss a great opportunity, and for a while, Su Ling was entangled, his face was peachy, and he was short of breath.

Facing Liu Meng's staring gaze, waiting for an answer, Su Ling replied, "I...... I ......", I wanted to say that I was willing to be your woman, but I couldn't say it, she was afraid that she would be rejected by Liu Meng if she said it, so it was better to keep it as good as it is now, stay by his side, take care of life, and occasionally laugh, I already feel very happy.

Liu Meng sighed and said, "You don't know, forget it, I need to make others think that I am a merry person, and I am not as good as a beast." ”

Su Ling sighed secretly, and at the same time there was some loss in his heart, flashing on his face, and immediately with a smile, he chuckled: "So that's the case, it's not simple, find a few more women, confess to a few more women, and then abandon the woman who loves you very much, haha, didn't there be a little willow girl who kept arguing 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 has a deep love for you." ”

Liu Meng was quite useful by what she said, the man's careful thinking was satisfied, and he was inevitably complacent and narcissistic, Su Ling saw that he was happy, and said jokingly: "Well, if it's not enough, I can also make a cameo appearance as a female subordinate who is infatuated and bitter." (To be continued......)

PS: Since you are a top student, let's be thorough with your studies.