Seeing this, Yu Peiran didn't want to force it, so his mind turned to this equation, and he took a piece of chalk and continued to write under Qian Dingzhang's handwriting. However, there are several deformation derivations.

Yu Peiran was still not satisfied, and muttered softly, "It's good, it's good, but this can only be regarded as ourselves, and we can't judge the Oriental people." It is estimated that you will still lose money, but at least you can ensure that you lose the least amount each time. Let me wonder if I can improve it further. ”

"This is a game between us and the Orientals," Bei Hongde sighed.

"Yes, yes," everyone replied casually.

"Wait, game?" A lightning bolt in Qian Dingzhang's brain, "Why did you forget this, the Kelly formula is used to calculate your own side, and once it involves the game situation of two or more parties, it is a little powerless." I know a little bit about game theory, but do you really want to say it here? ”

The lightning that flashed in Qian Dingzhang's mind was none other than the Nash equilibrium that he later won the Nobel Prize Economists, which is a non-cooperative game equilibrium in human terms. As the name suggests, it refers to the most strategic algorithm adopted by all parties involved in the game under the premise of reasonable consideration of interests.

This thing was also proposed in the fifties of the last century, and it was not too appalling to show it at this time, and the teacher spoke more carefully in class back then, and he was more or less impressed.

But there are two problems when I say it, first, whether so many people here can understand it, or whether this Brother Yu can understand it, Kelly's formula is a typical applied mathematics, the difficulty is not too high, and it is easy to explain, just three or four variables, if you really don't understand it, it's a big deal to talk about it a few more times. Given the level of intelligence and education of the people in this room, it was only a matter of time before they understood or understood.

But the Nash equilibrium is different, in the plane where Qian Dingzhang lived before, it was invented by Steve Nash, a Canadian who has a Ph.D. from Princeton University, and his partner Delk Nowitzki, a German. (This sentence is purely a rumor, and the author is cheap.) ）

In fact, as a typical crystallization of higher mathematics, Nash equilibrium was proposed in the early 50 years, and then with the rapid development of computer technology and was widely used, in Qian Dingzhang's native plane, it was regarded as a favorable contender for the Nobel Prize in economics for a long time, but it dragged on for nearly 40 years, and the inventor Nash was mentally ill and recovered before giving him the prize.

In fact, this also shows that the classicality of his theory has not been changed or overturned over time, but on the contrary, there are more important achievements that have been studied and made by later generations on this basis.

But the biggest difference between advanced mathematics and elementary mathematics is that it is unexplainable, which is very strange to say, higher mathematics is actually like a sieve of IQ, whether it is smart or not can be known by a filter of higher mathematics. Qian Dingzhang really saw a few geniuses back then, but he didn't take high math classes at all, and when he got to the exam, he read a book all night before the exam, and the next day he took the first exam. A few of them hurried to ask for advice, but they explained very enthusiastically, but the result was that they couldn't understand it at all. Both sides were very depressed, especially the one who explained, full of doubts, "Why don't you understand this, this should be like this" At this time, Qian Dingzhang understood that there is a gap between people, and it can be quantified.

But is this the right occasion right now? Let's just try your luck at writing it. It's best to be able to understand, maybe you can use it to reduce your losses, but if you really don't understand, there's nothing to lose.

At that moment, he coughed, "Brother Yu, please give me the chalk, I still have a small idea here, and it is a bit interesting to fall on game theory." ”

Yu Peiran already had a little bit of a sense of treating Qian Dingzhang as Su Buqing at this moment, and seeing that this person was a little thoughtful, he hurriedly handed over the chalk respectfully, stood aside by himself, stretched his neck and watched.

Because it is used in the study, this blackboard is not large, only three feet long and two feet wide. After the two of them tossed just now, the upper half was basically filled. Qian Dingzhang didn't bother to wipe it, so he simply bent down and brushed it up in the lower half.

After a while, the entire blackboard was basically filled, Qian Dingzhang put down the chalk and asked cautiously, "Brother Yu, look... ”

Yu Peiran stared at it for a while, and didn't speak, just shook his head, his eyes were full of disappointment, "When I was in the UK, my tutor said that my life would be the end of my master's degree, and then I would rely on talent." In mathematics, talent is not enough, no matter how hard you try, it is useless. At that time, I was still not convinced, and I always felt that I could achieve something no matter how hard I worked, but then it happened that my family asked me to return to China to take over, and this idea was pulled down. I saw Brother Zhao today, hey. To put it mildly, I can barely touch the door and know the general direction of these things, but let me understand, it is indeed 。。。。。 ”

Most of the people who can enter this small circle are the elites of the times, all of whom think very highly of themselves, and seeing that Yu Peiran admitted defeat, they were all a little unconvinced, and they all swarmed around the blackboard, including Bei Hongde. It's just that I came and went home, standing in front of the blackboard one by one, and within 1 minute, I ran to the side to drink tea and chat and eat snacks, and I didn't see the formula of the blackboard.

However, there are also those who have not participated, Cheng Shaohua and Yang Cao, the two newspaper people, have not looked at the blackboard from beginning to end. Seeing that everyone looked like a defeated rooster, they couldn't help laughing.

One of these three people is a bandit policeman who deals with ruffians and hooligans all day long, and the other two are notoriously mean newspaper people.

Qian Dingzhang saw that it was not a way to go on like this, but no one could use the formula he wrote with difficulty, and it happened to be on the right path, which was like dragging out an Italian cannon only to find that no one would take care of it. When he was sweating in a hurry, the conversation between Bei Hongde and Yu Peiran reached his ears, "Brother Bei, aren't you good at school in Germany, why can't you?"

"Brother is okay in Germany, but I'm just as applied as you, this is almost a pure mathematical principle, to be honest, I can also feel the direction, but I really don't dare to say it. Do you want Brother Zhao to explain? ”

"Two, if you can explain that I will still sell Guanzi, everyone is in the same boat, and it will not be good for me to let go of myself. If you want me to say it, I just read the formula again, as for the derivation process and the transformation of operations, this, this is really impossible to talk about. And to be honest, I can derive this theoretical formula, but I haven't considered the actual application deployment. Writing it today is a brainstorming idea. ”

"Hey...

"Hey。。。。。"

"Everybody's watched?"

"Yes, I should have seen it all" Pei Hongde was very distressed, this is even more uncomfortable for Baoshan to return empty-handed.

"Purr Purr"

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To remark a few words, the Kelly formula is a typical application, and the Nash equilibrium is an algorithmic-level tool, and if there are programmers in the reader, you should be able to understand the meaning of this statement.

The article is only slightly explained, and it is not rigorous, especially the Nash equilibrium is almost a thin book, and if you really want to write it, it is estimated that everyone will abandon the book, so it has been dealt with a little.

I'm not the kind of person who likes to move Baidu Encyclopedia into articles, so if you're really interested in this, there's a lot of public information on the Internet. I won't be ugly in the text.

And after being out of school for too long, the practical application of the Nash equilibrium probably remembers setting the salary and the prisoner's dilemma, and giving the rest back to the teacher.

It's impossible for me to write any deeper.

Speaking of Nash Balance, I will recommend another movie, starring my favorite actor Russell Crow, some people may have guessed, "A Beautiful Mind".

Since the movie is recommended, then according to the rules of the rivers and lakes, there are no spoilers, but this doesn't seem to be anything that can be penetrated, and I have written everything that should be written in the text.

Let's say a few words about this actor, now he seems to feel a little like a world away, the tough guy of the year has become a direct uncle, and the films he has received since 05 are really indescribable.

What is a good actor, a basic requirement is that the role is bigger, the last film is an Englishman gentleman who has to prepare a dozen knives and forks for afternoon tea, and in the next play, he wants to play a Bedouin who has green eyes and a certain part of his body is hard when he sees a little sheep, and the lower part may be a priest, well, everyone knows the priest.

Now when it comes to this kind of actor, the first reaction is Batman Bale. But around 2000, it was this Australian, the most successful Australian actor in Hollywood since Mel Gibson. 99 00 01, Oscar nomination triptych, and finally won the award for "Gladiator" in 01.

But I think "A Beautiful Mind" and later "Angry Seas" are the ones that better represent his style.

Anyway, all three are very recommended.