The “KILL” and “PEACE” buttons are both connected to the mad scientist’s decision, so “KILL” is indeed just another suggestively-named token.
The game-theoretic payoff matrix is an objective description of how the game works. It is as objectively real as, say, the laws of chess, and within its fictional world, it is as real as the laws of physics. If you sit down to play chess with a different set of rules in your head, you will either attempt moves that will not be allowed, or never even think about some moves which are perfectly legal. If you try to do engineering with different laws of physics, at best you will get nowhere, and at worst tout crystal healing as a cure-all.
Yes, sometimes you do have to take into account what the other players are thinking. Pretty much all sufficiently complicated games are like that, even chess. The metagame, as in Magic: The Gathering, may develop its own complex, rich culture, without which you will fare poorly in a tournament. But for this game, I have said how I take the other players’ ideas into account: prevent the clueless from playing.
But for this game, I have said how I take the other players’ ideas into account: prevent the clueless from playing.
You don’t decide who is playing, the mad scientist does, so this is not a valid action.
(Unless you mean something like, you try to argue with the mad scientist about who should be included? Or try to force the mad scientist to exclude people who are clueless?)
If you sit down to play chess with a different set of rules in your head, you will either attempt moves that will not be allowed, or never even think about some moves which are perfectly legal.
That’s not necessarily true. If it’s a casual game between casual players on a physical chessboard and e.g. your opponent goes to the bathroom, there’s a good chance you could get away with cheating, especially if you focus on a part of the board that your opponent isn’t paying attention to.
This is gonna be harder as the players are better (because then they better remember the boards and recognize when a position is not plausible), when it’s more serious games (because then people would catch the cheating) and when it’s played on computers (because then the computers can recognize the rules), but even then the game theory is still an abstraction that doesn’t take e.g. computational limitations or outside tools such as anal vibrators into account.
If you try to do engineering with different laws of physics, at best you will get nowhere, and at worst tout crystal healing as a cure-all.
I was under the impression that small buildings are frequently built on the assumption of a flat earth, and never built on quantum gravity.
The “KILL” and “PEACE” buttons are both connected to the mad scientist’s decision, so “KILL” is indeed just another suggestively-named token.
They’re connected to the mad scientist’s decision about whether to kill or to be peaceful. Hence, the names are not just suggestively-named LISP tokens, but instead a map that corresponds to the territory.
You don’t decide who is playing, the mad scientist does, so this is not a valid action.
It’s a bit late to play the “Don’t question the hypothetical” card, given that a lot of the discussion, and not just between us, has been about variations on the original. Hypotheticals do not exist in a vacuum. In the space of hypotheticals it can be illuminating to explore the neighbourhood of the proposed problem, and in the world in which the hypothetical is proposed, there is usually an unstated agenda behind the design of the puzzle that should be part of the discourse around it.
Or to put that more pithily:
“I didn’t give you that option!”
“That’s right, you didn’t. I took it.”
I was under the impression that small buildings are frequently built on the assumption of a flat earth, and never built on quantum gravity.
Oh, come on! Good enough approximation for a building site — but not for LIGO.
They’re [the KILL and PEACE labels] connected to the mad scientist’s decision about whether to kill or to be peaceful.
You have connected them in exact parallelism to your description of the mad scientist’s decision, but all that does is shift the bump in the carpet to that description, which now does not correspond to the actual rules of the problem as you stated them. The rules of the mad scientist’s decision are that if half or more press button K he kills those who didn’t, and if fewer than half do, he kills no-one. An equivalent way of describing it is that if fewer than half press button P he kills them, and if at least half do, he kills no-one. The idea that the PEACE button does nothing is wrong, because everyone is required to press one or the other. Pressing one has exactly the same consequences as not pressing the other.
You are still deciding what to do on the basis of what things are called and how they are conceptualised. I anticipate that you will say that how other people conceptualise things is, from your point of view, an objective fact of substantial import that you have to deal with, and indeed sometimes it is, but that does not justify adopting their conceptualisations yourself, let alone imagining that reality will take any notice of the knots that you or anyone else ties their brains into.
I recall a story (but not its author or title) depicting a society where the inhabitants are divided into respectable people and outcasts, who are both socially forbidden (but not in any other way) to so much as acknowledge the others’ existence. Then space pirates invade who don’t care about these strange local rules.
BTW, I’m about to go away on holiday for a couple of weeks, so I may be reading and posting somewhat less frequently. That might come as welcome news :)
It’s a bit late to play the “Don’t question the hypothetical” card, given that a lot of the discussion, and not just between us, has been about variations on the original. Hypotheticals do not exist in a vacuum. In the space of hypotheticals it can be illuminating to explore the neighbourhood of the proposed problem, and in the world in which the hypothetical is proposed, there is usually an unstated agenda behind the design of the puzzle that should be part of the discourse around it.
Or to put that more pithily:
“I didn’t give you that option!”
“That’s right, you didn’t. I took it.”
I suggested some valid ways of fighting the hypothetical within my framing. If you want to take additional ways not compatible with the framing, feel free to suggest a different framing to use. We might just not disagree on the appropriate answer within that framing.
You have connected them in exact parallelism to your description of the mad scientist’s decision, but all that does is shift the bump in the carpet to that description, which now does not correspond to the actual rules of the problem as you stated them. The rules of the mad scientist’s decision are that if half or more press button K he kills those who didn’t, and if fewer than half do, he kills no-one. An equivalent way of describing it is that if fewer than half press button P he kills them, and if at least half do, he kills no-one. The idea that the PEACE button does nothing is wrong, because everyone is required to press one or the other. Pressing one has exactly the same consequences as not pressing the other.
“You have to pick either yellow or green” is a mathematical idealization of an underlying reality. I see no reason to believe that the most robust decision-making algorithm would ignore the deeper mechanistic factors that get idealized.
The mad scientist is presumably using some means to force you (e.g. maybe threatening your family), and there’s always some risk of other disturbances (e.g. electrical wiring errors) whose effects would differ depending on the specifics of the problem.
“You have to pick either yellow or green” is a mathematical idealization of an underlying reality. I see no reason to believe that the most robust decision-making algorithm would ignore the deeper mechanistic factors that get idealized.
If no variation on the hypothetical is allowed, the problem is isomorphic to the original red-blue question, and the story about the mad scientist is epiphenomenal, mere flavourtext, not a “deeper mechanistic factor”.
If you allow variation (the only way in which the presence of the mad scientist can make any difference), then I think my variation is as good as yours.
You are trying to maintain the isomorphism while making the flavourtext have real import. This is not possible.
Are we talking about transgenderism yet? (I have been wondering this for the last few exchanges.)
By “variation” I mean things like preventing the mad scientist from carrying out his dastardly plan, keeping people away from the misleadingly named PEACE button, and so on. Things that are excluded by the exact statement of the problem.
Unless you mean something like, you try to argue with the mad scientist about who should be included? Or try to force the mad scientist to exclude people who are clueless?
so I’m not sure why you are saying that I’m saying that you are not allowed to talk about that sort of stuff.
So OK I guess. Let’s say you’re all standing in a line, and he’s holding a gun to threaten you. You’re first in the line, and he explains the game to you and shows you the buttons.
If I understand correctly, you’re then saying that you’d yell “everyone! press yellow!”? And that if e.g. he introduces a new rule of “no talking to each other!” and threatens you with his gun, you’d assault him to try to stop his mad experiment?
That is, by my logic, a valid answer. I don’t know whether you’ll survive or what would happen in such a case. I probably wouldn’t do it, because it is too brave.
It’s your puzzle. You can make up whatever rules you like. I understood your purpose to be making a version of the red-blue puzzle that would have the same underlying structure but would persuade a different answer. But if isomorphism is maintained, the right answer must be the same. If isomorphism is not maintained, the right answer will be whatever it designed to be, at the expense of not bearing on the original problem.
Presumably this specific aspect is still isomorphic to the red-blue puzzle. With the red-blue puzzle, when you are standing in line for the pills, you could also yell out “take red!”, or assault the scientist threatening you with his gun.
Of course there do seem to be other nonisomorphisms, such as if you press the buttons multiple times. I admit that it is reasonable to say that these nonisomorphisms distinguish my scenario, but I think that still disproves your claim that framing shouldn’t matter, because the framing determines the nonisomorphisms and is the place where you’d actually end up making the decisions.
Games in decision theory are typically taken to be models of real-world decision problems, with the goal being to help you make better decisions. But real-world decision problems are open-ended in ways that games are not, so logically speaking the games must be an idealization that don’t reflect your actual options.
The “KILL” and “PEACE” buttons are both connected to the mad scientist’s decision, so “KILL” is indeed just another suggestively-named token.
The game-theoretic payoff matrix is an objective description of how the game works. It is as objectively real as, say, the laws of chess, and within its fictional world, it is as real as the laws of physics. If you sit down to play chess with a different set of rules in your head, you will either attempt moves that will not be allowed, or never even think about some moves which are perfectly legal. If you try to do engineering with different laws of physics, at best you will get nowhere, and at worst tout crystal healing as a cure-all.
Yes, sometimes you do have to take into account what the other players are thinking. Pretty much all sufficiently complicated games are like that, even chess. The metagame, as in Magic: The Gathering, may develop its own complex, rich culture, without which you will fare poorly in a tournament. But for this game, I have said how I take the other players’ ideas into account: prevent the clueless from playing.
You don’t decide who is playing, the mad scientist does, so this is not a valid action.
(Unless you mean something like, you try to argue with the mad scientist about who should be included? Or try to force the mad scientist to exclude people who are clueless?)
That’s not necessarily true. If it’s a casual game between casual players on a physical chessboard and e.g. your opponent goes to the bathroom, there’s a good chance you could get away with cheating, especially if you focus on a part of the board that your opponent isn’t paying attention to.
This is gonna be harder as the players are better (because then they better remember the boards and recognize when a position is not plausible), when it’s more serious games (because then people would catch the cheating) and when it’s played on computers (because then the computers can recognize the rules), but even then the game theory is still an abstraction that doesn’t take e.g. computational limitations or outside tools such as anal vibrators into account.
I was under the impression that small buildings are frequently built on the assumption of a flat earth, and never built on quantum gravity.
They’re connected to the mad scientist’s decision about whether to kill or to be peaceful. Hence, the names are not just suggestively-named LISP tokens, but instead a map that corresponds to the territory.
It’s a bit late to play the “Don’t question the hypothetical” card, given that a lot of the discussion, and not just between us, has been about variations on the original. Hypotheticals do not exist in a vacuum. In the space of hypotheticals it can be illuminating to explore the neighbourhood of the proposed problem, and in the world in which the hypothetical is proposed, there is usually an unstated agenda behind the design of the puzzle that should be part of the discourse around it.
Or to put that more pithily:
“I didn’t give you that option!”
“That’s right, you didn’t. I took it.”
Oh, come on! Good enough approximation for a building site — but not for LIGO.
You have connected them in exact parallelism to your description of the mad scientist’s decision, but all that does is shift the bump in the carpet to that description, which now does not correspond to the actual rules of the problem as you stated them. The rules of the mad scientist’s decision are that if half or more press button K he kills those who didn’t, and if fewer than half do, he kills no-one. An equivalent way of describing it is that if fewer than half press button P he kills them, and if at least half do, he kills no-one. The idea that the PEACE button does nothing is wrong, because everyone is required to press one or the other. Pressing one has exactly the same consequences as not pressing the other.
You are still deciding what to do on the basis of what things are called and how they are conceptualised. I anticipate that you will say that how other people conceptualise things is, from your point of view, an objective fact of substantial import that you have to deal with, and indeed sometimes it is, but that does not justify adopting their conceptualisations yourself, let alone imagining that reality will take any notice of the knots that you or anyone else ties their brains into.
I recall a story (but not its author or title) depicting a society where the inhabitants are divided into respectable people and outcasts, who are both socially forbidden (but not in any other way) to so much as acknowledge the others’ existence. Then space pirates invade who don’t care about these strange local rules.
BTW, I’m about to go away on holiday for a couple of weeks, so I may be reading and posting somewhat less frequently. That might come as welcome news :)
I suggested some valid ways of fighting the hypothetical within my framing. If you want to take additional ways not compatible with the framing, feel free to suggest a different framing to use. We might just not disagree on the appropriate answer within that framing.
“You have to pick either yellow or green” is a mathematical idealization of an underlying reality. I see no reason to believe that the most robust decision-making algorithm would ignore the deeper mechanistic factors that get idealized.
The mad scientist is presumably using some means to force you (e.g. maybe threatening your family), and there’s always some risk of other disturbances (e.g. electrical wiring errors) whose effects would differ depending on the specifics of the problem.
If no variation on the hypothetical is allowed, the problem is isomorphic to the original red-blue question, and the story about the mad scientist is epiphenomenal, mere flavourtext, not a “deeper mechanistic factor”.
If you allow variation (the only way in which the presence of the mad scientist can make any difference), then I think my variation is as good as yours.
You are trying to maintain the isomorphism while making the flavourtext have real import. This is not possible.
Are we talking about transgenderism yet? (I have been wondering this for the last few exchanges.)
I don’t know what you mean by “variation” in this comment.
By “variation” I mean things like preventing the mad scientist from carrying out his dastardly plan, keeping people away from the misleadingly named PEACE button, and so on. Things that are excluded by the exact statement of the problem.
This sounds similar to what I was saying with
so I’m not sure why you are saying that I’m saying that you are not allowed to talk about that sort of stuff.
So OK I guess. Let’s say you’re all standing in a line, and he’s holding a gun to threaten you. You’re first in the line, and he explains the game to you and shows you the buttons.
If I understand correctly, you’re then saying that you’d yell “everyone! press yellow!”? And that if e.g. he introduces a new rule of “no talking to each other!” and threatens you with his gun, you’d assault him to try to stop his mad experiment?
That is, by my logic, a valid answer. I don’t know whether you’ll survive or what would happen in such a case. I probably wouldn’t do it, because it is too brave.
It’s your puzzle. You can make up whatever rules you like. I understood your purpose to be making a version of the red-blue puzzle that would have the same underlying structure but would persuade a different answer. But if isomorphism is maintained, the right answer must be the same. If isomorphism is not maintained, the right answer will be whatever it designed to be, at the expense of not bearing on the original problem.
This circle cannot be squared.
Presumably this specific aspect is still isomorphic to the red-blue puzzle. With the red-blue puzzle, when you are standing in line for the pills, you could also yell out “take red!”, or assault the scientist threatening you with his gun.
Of course there do seem to be other nonisomorphisms, such as if you press the buttons multiple times. I admit that it is reasonable to say that these nonisomorphisms distinguish my scenario, but I think that still disproves your claim that framing shouldn’t matter, because the framing determines the nonisomorphisms and is the place where you’d actually end up making the decisions.
Games in decision theory are typically taken to be models of real-world decision problems, with the goal being to help you make better decisions. But real-world decision problems are open-ended in ways that games are not, so logically speaking the games must be an idealization that don’t reflect your actual options.