Game theory lottery probability

Let's analyze it first: if everyone doesn't think about what the other person will choose without knowing it, it can be expected that many people will choose 2, because the probability of 40: 60 is obvious, and choice 2 is the best. But people are rational, and smart people will think that many people choose 2, which leads to far more than 60 people choosing 2, and then he will choose 1. But the question is how many such wise men are there in the crowd? What if it's all? Then many people will choose 1 again, but smart people think that so many people choose 1, so I will choose 2 as the best choice. If you think like this, it will be endless and you will never have the wisest choice. But there are solutions. Game theory can't be considered at this time. We should consider the actual situation. First of all, most people will not think of the second step, but will choose 2. Secondly, the person who thinks of the next step will find that this is a wisdom trap, so he is likely to choose 2. So your best choice is to choose 1.

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