I am quite confused what the statement actually is. I don’t buy the argument about game ending in 30 seconds. The article quite clearly implies that it will last forever. If we are not playing a repeated game here, then none of this makes senses and all the (rational) players would turn the knob immediately to 30. You can induct from the last move to prove that.
If we are playing a finite game that has a probability p of ending in any given turn, it shouldn’t change much either.
I also don’t understand the argument about “context of equilibrium”.
I guess it would be helpful to formalize the statement you are trying to state.
I am quite confused what the statement actually is. I don’t buy the argument about game ending in 30 seconds. The article quite clearly implies that it will last forever. If we are not playing a repeated game here, then none of this makes senses and all the (rational) players would turn the knob immediately to 30. You can induct from the last move to prove that.
If we are playing a finite game that has a probability p of ending in any given turn, it shouldn’t change much either.
I also don’t understand the argument about “context of equilibrium”.
I guess it would be helpful to formalize the statement you are trying to state.