film world traveler

"Guess heads or tails of the coin?" Xiaoye frowned.

"Yes, the coin is heads and tails."

"This game is essentially a zero-sum game, the so-called non-cooperative game, which refers to the parties participating in the game. Under strict competition, one party's gain must mean the other party's loss. The sum of the gains and losses of all parties in the game will always be

If it is "zero", there is no possibility of cooperation between the two parties."

Chen Jun doesn't have any special skills. If he wants to lose, he must make the opponent convinced and not feel that there is any loophole. In this way, he can only play some applied psychological game games that he learned in college classes.

Xiaoye asked: "What are the rules?"

"It's very simple. There are two normal one-yuan coins on the table. You and I hold them in our hands and each show the coin number 1. If both are heads, I will give you three chips. If they are both tails, I will give you one.

Chips, if the heads and tails are different, you have to give me two chips, limited to eight times. Whoever has more chips in the end will be the winner, how about it?"

Xiaoye narrowed his eyes, picked up the coins on the table, and looked Chen Jun up and down, "What the hell are you doing in this? If I get three chips in one go, wouldn't you be in a big loss? Are you cheating?"

"Since you feel it's a loss, fine, how about we switch?"

Hu Li's eyes flickered at the side, even he didn't understand the mystery. When Xiaoye cast a questioning look, he shook his head slightly.

"No need to change, just compare as you said." After receiving Uncle Li's reply, Xiaoye became more confident.

"Come!"

Both of them showed the coins in their palms.

"Both are positive. Give me three."

"Haha, I won..." Xiaoye said with a proud smile, and Chen Jun also smiled and was not discouraged.

"Come again!"

"Same as opposite, give me a bargaining chip."

"Same as opposite, give me a bargaining chip."

Xiaoye looked at Chen Jun's dwindling chips and smiled from ear to ear. "If this continues, you will lose all your chips without the eight-time limit."

"It doesn't matter."

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

"One positive and one negative, it seems I'm lucky, I have two chips."

Xiaoye sneered, "Don't be complacent, it's still early."

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

"Pros and cons, give me two."

"How could it be?" Xiaoye's eyes widened. In just a few moves, the chips he earned from him were instantly lost. "It's impossible to do it again."

"Reverse, give it to me."

"Pros and cons, you give it to me, I win."

Xiaoye looked at the pile of chips on the opposite side, and couldn't understand why the originally good start to victory would end like this.

"Do it again, I don't believe it!" Xiaoye stared at Chen Jun closely.

Beside them, the second and fourth children stared blankly, unable to discover the mystery at all, and asked Hu Li, "Uncle Li, is there any trick in this game?"

"What kind of fraud can there be?"

Hu Li asked stiffly. In fact, he was also beating a drum in his heart. He couldn't understand the secret of the game and it was difficult to answer the waiter's question.

"Of course, as you wish!"

Chen Jun has figured out Xiaoye's character, and the result will not change if he tries again.

Sure enough, Chen Jun won the second game.

Xiaoye was still unwilling to give in, like a gambler in a casino who lost everything and wanted to get his money back, "Come again!"

"Isn't it shameful enough for you to step back?"

Hu Li walked over, his sharp eyes gleaming with coldness, which instantly made Xiaoye extinguish his impulse.

"I said it's not a shame to be inferior in skill, but it's a shame to lose your position if you mess up your position. With your magnanimity, you have to reinvent yourself!"

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

Hu Li looked at Chen Jun and cupped his hands, "Brother Chen, master, Uncle Li has been traveling around the world for decades and has never seen such a thousand skills in all his travels. Can you help me clarify my doubts?"

Chen Jun couldn't help but praise this man's magnanimity. He could afford to lose and let go. He was worthy of being the king of thieves.

"Don't dare, don't dare!" Chen Jungong cupped his hands and said with a smile.

"Actually, this is not some trick or trick, but the "Nash Equilibrium" theory of Nobel Prize winner John Nash."

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

Hu Li: "..."

Xiaoye: "..."

"Ahem, Si Yan, you are the only one among us who wears glasses. You have also finished high school. Do you know who John Nash is?" Hu Li coughed twice and asked Si Yan behind him.

Four Eyes: "..."

Judging from their confused expressions, this seems to be a question that should not be asked. Chen Jun explained briefly:

"John Nash is... He is a mathematician with profound knowledge of game theory. "Nash Equilibrium" is one of the famous non-cooperative game theories."

"There are two examples of games in theory, the prisoner theory, and the other one is the game of guessing the heads and tails of a coin. The content of the game is that I played it based on the book, but in fact you are right to say that it is a scam."

"Using modern mathematical analysis, assume that the probability of our heads is

Or if it’s tails, our gains are equal.”

"We can get the equation: 3x +(-2)*(1-x)=(-2)* x + 1*( 1-x ). Solve the equation and get 3/8."

"Similarly, the leaflet's income y is an equation: -3y+2(1-y)=2y+(-1)*(1-y). "The solution is that y is also equal to 3/8."

"And Xiaoye's expected return each time is 2(1-y)-3y=1/8 yuan. This tells us that when both parties adopt the optimal strategy, Xiaoye wins on average 1/8 yuan each time. In fact, Xiaoye wins 1/8 yuan each time.

As long as Xiaoye adopts the plan (3/8, 5/8), no matter what plan Xiaoye adopts, it will not change the situation."

"Do you understand now?"

Chen Jun asked curiously.

Hu Li, the second oldest, looked at each other in confusion and remained silent. Xiaoye stood up and said, "You said so much, do you mean that I am bound to lose this game?"

"No!" Chen Jun shook his head.

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

"But life is far from being simply calculated through probability. Just like if you toss a coin 1,000 times, 999 times it will be positive, but you can't guarantee that it will be positive the next time!"

"Then why do I still fail?" Xiaoye asked.

"Remember that gaming is a mutually-targeted process. The key to winning or losing is personality, emotion, and other factors. During the game between you and me, you gradually became greedy in victory and defeat, wanting to grab more chips.

This is also the key to failure.”

In fact, Xiaoye's character has been targeted by Chen Jun for a long time. Is there any thief who is not greedy? Who will not choose the one with the greatest benefit? And in this way, he falls into the preset trap.

"That's it. I'm leaving first. If you have thought about the next problem, you can come to me."

Chen Jun said hello and left.

"Xiaoye, did you understand what the boy explained just now?" Siyan pushed the eyes on the tip of his nose.

"I don't understand."

"I don't understand, you stupid girl, you still ask, shame on you." The second child cursed.

Xiaoye sneered and sarcastically said: "If you don't understand, you can't ask? If you don't understand, then you have to ask! It's better than pretending to understand when you don't understand."

"How dare you talk back! Uncle Li, she's getting smaller and smaller."

"presumptuous!"

Hu Li shouted coldly, and the carriage fell silent.

"Go back here, you don't think it's embarrassing enough. Remember to read something every day from now on."

"As soon as you get off the car, buy me the book "Game Theory" that the guy mentioned. I want to study it."

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

"It's better to study!"

"He is a real talent. He is a cross between Chinese and Westerners. He is different."