"Guess the heads and tails of a coin?" Xiao Ye frowned.

"Yes, heads and tails."

This game is essentially a zero-sum game, that is, the so-called non-cooperative game, which refers to the parties involved in the game, under strict competition, the gains of one party must mean the losses of the other party, and the sum of the gains and losses of the parties to the game is always "zero", and there is no possibility of cooperation between the two parties. ”

Chen Jun doesn't have any special expertise, and if he wants to lose, he naturally has to convince the other party to lose, and he doesn't feel that he is taking advantage of loopholes, and in this way, he can only play some applied psychological games that he learned in college classes.

Xiao Ye asked, "What about the rules, what are they?" ”

"It's very simple, there are two normal one-dollar coins on the table, you and I hold them in our hands, each showing the coin number 1, the same is positive, I will give you three chips, if the same is the negative suit, I will give you a chip, if the positive and negative are different you have to give me two chips, eight times is limited, in the end whoever has more chips is the winner, how?"

Xiao Ye squinted, picked up the coins on the table, and looked Chen Jun up and down, "What the hell are you doing in it, if I get three chips at one time, aren't you a loss, there is fraud?" ”

"Since you feel that you are losing, then okay, how about we switch them?"

Hu Li's eyes flickered beside him, even he didn't understand the subtlety, and when Xiao Ye cast an inquiring look, he shook his head slightly.

"You don't need to swap it, just compare it as you say." After getting Uncle Li's reply, Xiao Ye gained more confidence.

"Come!"

The two of them showed the coins in their palms in unison.

"It's all positive. , give me three. ”

"Haha, I won..."Xiao Ye smirked, and Chen Jun was not discouraged with a smile.

"Come again!"

"It's the opposite, give me a bargaining chip."

"It's the opposite, give me a bargaining chip."

Xiao Ye looked at Chen Jun's gradually decreasing chips, and smiled from ear to ear, "If you go on like this, you won't need the eight-time limit, and you'll lose all your chips." ”

"It doesn't matter."

The two of them flashed the coins in their palms again.

"One positive and one negative, it seems that I have luck, two chips."

Xiao Ye sneered, "Don't be complacent, it's still early." ”

"It's pros and cons again, give me two."

"Again, give me two."

"How so?" Xiao Ye's eyes widened, and in a few clicks, the chips he earned from him were instantly lost, "It's impossible to come again." ”

"Reversed, give it to me."

"Heads and tails, you give it to me, I win."

Xiao Ye looked at the stacked chips on the opposite side, and couldn't figure out how the originally good start of the victory would end like this.

"Again, I don't believe it!" Xiao Ye stared at Chen Jun closely.

Beside him, the second child and the four eyes were stunned, unable to discover the mystery at all, and asked Hu Li, "Uncle Li, will there be any trickery in this game?" ”

"What can there be?"

Hu Li asked stiffly, in fact, he was also playing drums in his heart, and he couldn't see the mystery of the game and it was difficult to reply to the guy's question.

"Of course you can, as you wish!"

Chen Jun has figured out Xiao Ye's character, and the result will not change if he comes again.

Sure enough, the result of the second game was still won by Chen Jun.

Xiao Ye is still unwilling, like a gambler who has gone to the casino, losing everything and wanting to get it back, "Come again!" ”

"Stand down, isn't it shameful enough to dislike it?"

Hu Li walked over, a pair of sharp eyes were cold, and in an instant, Xiao Ye extinguished his impulse.

"I said that it's not a shame to be inferior to others, it's a shame to lose an inch if you mess up, and you have to go back to the furnace to rebuild it with your bearing!"

"Yes!" Xiao Ye replied in a low voice, not in a high mood.

Hu Li looked at Chen Jun and arched his hand, "Brother Chen, Uncle Li has been walking the rivers and lakes for decades, and he has never seen such a thousand techniques in the south and north, can you solve my doubts?" ”

Chen Jun couldn't help but praise this bearing, he can afford to lose, he can let go, and he is worthy of being the king of thieves.

"Don't dare, don't dare!" Chen Jun arched his hand and said with a smile.

"Actually, this is not a trick, a trick, but the theory of Nobel laureate John Nash's "Nash equilibrium."

"Oh, by the way, do you know who John Nash is?"

Hu Li: "......"

Xiaoye: "......"

"Ahem, Four Eyes, you're the only one of us who wears glasses, and you've finished high school, do you know who John Nash is?" Hu Li coughed twice and asked about the four eyes in the back.

Four Eyes: "......"

Looking at their bewildered expressions, this seems to be a question that should not be asked, Chen Jun explained a little:

"John Nash is..... He was a mathematician with a deep knowledge of game theory, and "Nash Equilibrium" is one of the famous non-cooperative game theories. ”

"There are two examples of games in the theory, the prisoner theory, and the other is this game of guessing the heads and tails of coins, and the content of the game is that I played according to the book, but in fact, you are not wrong to say that there is fraud."

"Using modern mathematical analysis, suppose that the probability of our heads is x, the probability of tails is 1-x, the probability of lobules heads is y, and the probability of tails is 1-y. In order to maximize the benefits, we should have equal returns when the opponent goes heads or tails. ”

"You can get the equation: 3x + (-2)*(1-x) = (-2) * x + 1*( 1-x), and solve the equation to get 3/8."

Similarly, the return of the leaflet Y, the column equation: -3y+2(1-y)=2y+(-1)*(1-y)," the solution is also equal to 3/8. ”

"The expected return of Xiaoye each time is 2 (1-y)-3y = 1/8 yuan. This tells us that in the case that both sides adopt the optimal strategy, the average lobule wins 1/8 yuan each time. In fact, as long as Xiaoye adopts the (3/8, 5/8) plan, no matter what plan Xiaoye uses, it will not be able to change the situation. ”

"Do you understand now?"

Chen Jun asked curiously.

Hu Li, the second child, looked at each other with four eyes, did not make a sound, Xiao Ye stood up, "You said so much, that means that I will definitely lose this game?" ”

"Not really!" Chen Jun shook his head.

"The definition of Nash equilibrium is based on the fact that both sides choose the optimal response strategy, so the analysis is based on assuming what their optimal response is when the other party chooses a certain strategy, and the above mathematical probability calculation is applicable."

"But in life, it is far from being calculated simply by probability, just like if you toss a coin 1000 times, 999 is positive, but you can't guarantee that it will be positive next time!"

"Then why did I still fail?" Xiao Ye asked.

"Remember that the game is a process of targeting each other, the key to affecting the outcome of the game, there are factors such as personality, emotions and so on, in the process of my game with you, you are gradually greedy in the victory and defeat, and want to grab more chips, which is also the key to failure."

In fact, Xiao Ye's character has long been targeted by Chen Jun, is the thief not greedy? Won't you choose the one with the most benefits? And in this way, you fall into a pre-set trap.

"That's it, I'll go first, think about the next problem, you can come to me."

Chen Jun greeted and left.

"Xiao Ye, did you understand that kid's explanation just now?" Four Eyes pushed the eyes on the tip of his nose.

"I don't understand."

"I don't understand that you stupid woman still asks, shame." The second child scolded.

Xiao Ye sneered and sarcastically: "If you don't understand, you can't ask?" If you don't understand, you have to ask! It's better than if you don't know how to pretend to understand. ”

"Dare to talk back! , Uncle Li, she is getting bigger and smaller. ”

"Presumptuous!"

Hu Li snorted coldly, and the carriage was quiet.

"Go back to me, it's not shameful enough to dislike it, remember to read some books every day in the future."

"When I got out of the car, I immediately bought me the game theory in that kid's mouth, and I want to study it."

Everyone dispersed like birds and beasts, Hu Li looked at Chen Jun's disappearing back, and couldn't help but sigh:

"It's better to read!"

"It's a real talent, and the hybrid of China and the West is different."

……

Do you have a book list, please help promote, test the waters, life and death, thank you very much

I also asked for a recommendation ticket