Of course it is perfectly rational to do so, but only from a wider context. From the context of the equilibrium it isn’t. The rationality your example is found because you are able to adjudicate your lifetime and the game is given in 10 second intervals. Suppose you don’t know how long you have to live, or, in fact, now that you only have 30 seconden more to live. What would you choose?
This information is not given by the game, even though it impacts the decision, since the given game does rely on real-world equivalency to give it weight and impact.
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.
Of course it is perfectly rational to do so, but only from a wider context. From the context of the equilibrium it isn’t. The rationality your example is found because you are able to adjudicate your lifetime and the game is given in 10 second intervals. Suppose you don’t know how long you have to live, or, in fact, now that you only have 30 seconden more to live. What would you choose?
This information is not given by the game, even though it impacts the decision, since the given game does rely on real-world equivalency to give it weight and impact.
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.