God's imitator

Chapter 431 New Data
Yang Yuting said, "Alright, the game is over. Everyone, feel free to discuss and speak your mind."

Wang Yongxin, who had been silent until now, was clearly feeling a bit uncomfortable and couldn't wait to speak:
"Actually, Dai Yifan's strategy is not bad."

"The biggest advantage of his strategy is that it is not limited by the 'expected value' mentioned in the rules."

"Because the rules state that the maximum number is 10, and there can only be one copy."

"Considering that the attacker can only look four times at most, once the 10 is found, it's all over, so most players won't release the 10. You two both thought of this."

"However, the final victory of the game depends on the net profit, so if you can't put in 10, you have to set the average at 1 as much as possible."

"If the price is set too low, even if you win, the net profit will be very low, and you will be at a disadvantage when calculating the total net profit. This is Zheng Jie's thinking."

"But it is clear that this line of thinking is not necessarily correct."

“Dai Yifan’s cleverness lies in his use of counter-logic. Since Zheng Jie believes that ‘there must be 1,’ Dai Yifan only puts in ‘1000.’”

“If Zheng Jie draws 1000, he will think it is a small number and will definitely choose to change it. But in doing so, he will end up giving the largest number to Dai Yifan.”

"The number 1000 was probably placed there intentionally, because it's the least convenient to use, so it's the most likely to be chosen first."

Zheng Jie still didn't understand: "That's not right either. If I choose a different number first, wouldn't he explode?"

Wang Yongxin shook his head: "You can't think like that."

"Placing 1000 in the most inconvenient location has two possibilities:"
"The first option is to pick randomly based on your gut feeling. In that case, you might not end up picking the 1000 card, and Dai Yifan would win."

"The second option is that you deliberately take the most awkward position at the beginning, but this will likely result in you getting 1000 on the first try, which will make you mistakenly think that this is a relatively small card and that you will definitely change it."

"The combined probability of these two possibilities is still quite high."

"Actually, when you expect 'at least one 1,' as long as you don't happen to draw the 1000 when you're 'changing the slips,' Dai Yifan's strategy is successful."

"You were quite lucky when you drew the slips of paper for the second time. You drew a 100 the first time and another 100 the second time, which resulted in a tie."

"But according to Dai Yifan's arrangement, the remaining slips of paper were 100, 100, and 10. After you draw a 100, what's left are 100 and 10. If you happen to draw a 10, then Dai Yifan wins."

"Or, if you first remove a 10 and choose to exchange it for a 100, then the result will be no different from the current one."

"So, from the perspective of the second time you draw a slip of paper, it's roughly like this: draw 100 and get 100 back, draw 100 and get 10 back, draw 10 and get 100 back. Each of these three possibilities is multiplied by 2, for a total of 6 possibilities."

"You have a 2/3 chance of a draw and a 1/3 chance of losing."

Zheng Jie felt somewhat frustrated.

Yang Yuting comforted her, "Actually, it's okay. Since you just happened to choose 1000 the first time, this matter itself has a certain degree of randomness. Once you chose it, you were destined to be at a disadvantage, so calculating the probability of the later ones is not very meaningful."

"I think that, judging from this game alone, Zheng Jie's strategy was actually better, because it could indeed guarantee that the defending side would get a stable positive return."

"Dai Yifan's strategy is not very reliable, but as long as the other party has expectations and chooses to exchange 1000 at the beginning, then the chances of winning are very high."

"Overall, this is actually a very simple and rough simulation. The important thing is to open up your mind and understand the underlying principles. Winning or losing is the least important part."

"Of course, if the rules of the game are changed slightly, the advantages and disadvantages of the two strategies may change again."

"For example, this game can be made more complex. If the restriction that it must be an integer like 1, 10, or 100 is removed, and the numbers can be set freely, there might be more strategic elements involved."

"If you're interested later, you can try it out in private and practice. You might get some new inspiration."

"Okay, that's all I've prepared. Thank you all very much for your support and cooperation." Yang Yuting stood up and bowed.

Everyone applauded.

"grateful!"

"Ah, this is truly excellent teaching. I've learned a lot."

"I've learned something new, thank you!"

The response from the crowd was quite enthusiastic.

Li Renshu said approvingly, "That's right, our community's first practice session was a complete success. The puzzle that Yuting prepared was just right. The principle behind it is very simple, but there are many derivative strategies based on it."

"For the average player, it is easy to understand and can be improved through hands-on experience."

"I think everyone can do more similar exercises in the future, and if you have any good ideas, be sure to share them in time."

"Alright, that's enough for today's game. Everyone, thank you for your hard work."

Everyone got up and left, while many others remained engrossed in their previous game strategies.

Zheng Jie said, "I'd like to play a little longer. Anyone else want to try?"

Zhou Guifen raised her hand: "I want to try."

Zheng Jie nodded: "Okay, Aunt Zhou, let's go somewhere else to play."

……

Li Renshu was still seriously considering the game. She said to Yang Yuting with great appreciation, "Even after understanding most of the strategic changes in this game, I still find it very interesting. It's a very good design. It seems you have the potential to be a copycat."

Yang Yuting tidied up the props she had used in her previous teaching sessions: "Judging from the current situation, I am still far behind those excellent imitators, but if the arcade is willing to give me such an opportunity, I wouldn't mind becoming an excellent imitator like Yin Zhang."

Yang Yuting is always very proactive when it comes to opportunities, and she doesn't show much humility like other players.

Lee In-sook then asked, "Have you prepared the materials I asked you to prepare before?"

Yang Yuting nodded: "Yes, it's ready. I'll go get it now."

A moment later, Yang Yuting retrieved a stack of handwritten documents from the room and distributed them to everyone.

Previously, Lin Sizhi, Wang Yongxin, Cai Zhiyuan, and Wei Yinzhang had already sent similar information to other players.

This includes different elements such as numbers, colors, playing cards, chess pieces, animals, plants, shapes, and tarot cards, as well as 10 related professional knowledge questions for each.

Now that Yang Yuting has been confirmed as the new core player of the game, she naturally needs to select some information to let other players know in advance.

Dai Yifan glanced at it briefly, and Yang Yuting's choice was basically within his expectations.

The playing cards are the Queen of Hearts, the two chess pieces are the Knight and the Queen, the animal is the Dolphin, and the Tarot card is the Empress.

Dai Yifan remarked, "Thank you for your choice. It's easy to remember, which is very important to me."

(End of this chapter)