God's Imitator-Chapter 430: New Information

Yang Yuting said, "Alright, the game is over, everyone feel free to discuss and speak your mind."

Wang Yongxin hadn’t spoken all this time and now, visibly struggling to hold back, couldn’t wait to say:

"Actually, Dai Yifan’s strategy isn’t too bad.

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

"Because the rules state that the highest number is 100,000, and there is at most one.

"Considering the attacker can look up to four times, if 100,000 is found, it’s game over, so most players wouldn’t choose 100,000. You both thought of this.

"But at the same time, the game’s final victory depends on net gain, so in the case you can’t put 100,000, you should aim to set the average at 10,000 as much as possible.

"If you set it too low, even if you win, the net gain is very low, making the total net gain suffer, which is Zheng Jie’s approach.

"But clearly, this approach isn’t necessarily correct.

"Dai Yifan was clever in that he used a reverse logic; since Zheng Jie thought there ’must be a 10,000’, Dai Yifan only placed a ’1,000’.

"When Zheng Jie drew the 1,000, he would think this is a low number and would definitely choose to exchange it. But in doing so, would end up handing over the largest number to Dai Yifan.

"1,000 was probably placed in that position on purpose because it’s the least convenient, thus the most likely to be chosen first."

Zheng Jie was still not convinced: "But that’s not right. If I chose another number first, wouldn’t he be screwed?"

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

"1,000 placed in the least convenient spot has two possibilities:

"The first is, if you take it at random based on feeling, you’re very likely to not pick the 1,000 by the end, in which case Dai Yifan wins;

"The second is, if you deliberately take the most awkward spot from the start, it will likely lead you to draw the 1,000 first, making you believe this is a relatively small number and you’ll definitely exchange it.

"Combining these two possibilities, it’s still not a low chance.

"Actually, when you expect ’at least one 10,000’, as long as you don’t just happen to draw the 1,000 while ’exchanging slips’, Dai Yifan’s strategy would be successful.

"During the second draw of slips, you had pretty good luck, drawing a 100 the first time and another 100 the second time, resulting in a tie.

"But according to Dai Yifan’s setup, the remaining slips were 100, 100, and 10. After you drew a 100, the remaining numbers were 100 and 10. If you happened to draw the 10, then Dai Yifan would have won.

"Or, if you took one 10 first and chose to exchange it for 100, the result would be no different from now.

"At the point of the second slip draw, it looked something like this: drawn 100 and exchanged for 100, drawn 100 and exchanged for 10, drawn 10 and exchanged for 100. These three possibilities all multiply by 2, resulting in six possibilities in total.

"You have a 2/3 chance to tie, and a 1/3 chance to lose."

Zheng Jie felt somewhat frustrated.

Yang Yuting comforted him: "It’s actually fine, because getting the 1,000 on your first pick was already somewhat of an accident, once chosen, you were destined to be in a disadvantage, so calculating the subsequent probabilities doesn’t hold much significance.

"I think just from this game alone, actually Zheng Jie’s strategy is better, since it indeed ensures a stable positive gain for the defender.

"Dai Yifan’s strategy is not that reliable, but as long as he makes the opponent build up expectations and chooses to exchange the 1,000 at the start, the odds of winning are quite high.

"Overall, this was actually a very simple and rough simulation. The important thing is to open up perspectives and understand the underlying principles; winning and losing are the least important parts.

"Of course, if the game rules changed slightly, the strengths and weaknesses of the two strategies might shift as well.

"For instance, the game could be made more complex. If the requirement for ’must be integers like 1, 10, 100’ were lifted and the numbers could be set freely, it might lead to more game dynamics.

"If anyone’s interested afterward, you could play it privately and practice, maybe you’ll gain some new insights.

"Alright, that’s all I prepared, thank you very much for your support and cooperation."

Yang Yuting stood up and bowed.

The crowd applauded.

"Thank you!"

"Ah, it was indeed a wonderful lesson, learned a lot."

"Gained some new knowledge, thank you!"

The audience was quite enthusiastic.

Li Renshu said approvingly, "Not bad, our Community’s first trial was a success. The puzzle Yuting prepared was just right. The principle itself is very simple, but it can lead to many derived strategies.

"For the average player, it’s easy to grasp and you can improve after personally participating.

"I think we can do more exercises like this in the future. If anyone has good ideas, make sure to share them in time.

"Alright, that’s it for today’s game. Everyone worked hard."

The crowd began to leave, many still engrossed in the strategies from the game.

Zheng Jie said, "I still want to play again. Anyone else want to try?"

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

Zheng Jie nodded: "Alright Aunt Zhou, let’s find another place to play."

...

Li Renshu was still pondering the game, she appreciatively said to Yang Yuting, "Even after understanding most of the strategic variations in this game, it still feels very engaging. A very good design, it seems you have the potential to be an Imitator."

Yang Yuting organized the props used for the lesson: "From the looks of it, I’m still far from those excellent Imitators, but if Walkway is willing to give me the chance, I wouldn’t mind becoming an excellent Imitator like Yinzhang."

Yang Yuting has always been very proactive regarding opportunities and doesn’t show the same level of humility as other players.

Li Renshu asked again: "Have you prepared the materials I asked for earlier?"

Yang Yuting nodded: "Yes, I’ve got them ready. I’ll go get them now."

A moment later, Yang Yuting returned from the room with a stack of handwritten materials and distributed them to everyone.

Previously, Lin Sizhi, Wang Yongxin, Cai Zhiyuan, and Wei Yinzhang had already shared similar materials with other players.

This included various elements like numbers, colors, playing cards, chess pieces, animals, plants, shapes, tarot cards, and ten related professional knowledge questions each.

Now, since Yang Yuting has confirmed her role as the new core of the game, she naturally had to select some information to inform other players in advance.

Dai Yifan took a brief look, and Yang Yuting’s choices were mostly as he expected.

The playing card is the ’Heart Q’, the chess pieces are ’Knight’ and ’Queen’, the animal is ’Dolphin’, and the tarot card is ’Empress’.

Dai Yifan remarked, "Thanks for your selections, easy to remember, it’s very important to me."