What is the tiger game?

Tiger paradox-a famous logical paradox in game theory. The king wanted to execute a prisoner, but he was given a chance to live. The prisoner was taken to five closed doors, one of which had a tiger behind it. The king said to the prisoner, "You must open these doors in turn. I'm sure you won't know the tiger is behind the door until you open it. " Obviously, if the prisoner may know before opening the door with a tiger, it proves that the king is lying, and then he can live. Before opening the door, the prisoner made the following analysis:

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