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Bayesianism and Sleeping Beauty - Page 3

Blogs > sam!zdat
Post a Reply
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sam!zdat
Profile Blog Joined October 2010
United States5559 Posts
January 04 2013 07:08 GMT
#41
On January 04 2013 16:06 MidnightGladius wrote:
Would it be a cop-out to claim that agents with amnesia don't qualify as rational any more?


a clever response. but I don't think anybody's rational so therefore Bayesianism is action philosophy for robots, which is a conclusion I'm ok with
shikata ga nai
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
January 04 2013 07:09 GMT
#42
On January 04 2013 16:06 MidnightGladius wrote:
Would it be a cop-out to claim that agents with amnesia don't qualify as rational any more?

Uh, that wouldn't really change anything because we know it could be Monday when we do the analysis, we are just not sure that it is. Would beg the question of what types of random variables cannot be involved in a problem if we want a reasonable answer by Bayesian methods.
sam!zdat
Profile Blog Joined October 2010
United States5559 Posts
January 04 2013 07:09 GMT
#43
idk I mean I think sleeping beauty is exactly as rational as you
shikata ga nai
nunez
Profile Blog Joined February 2011
Norway4003 Posts
January 04 2013 07:10 GMT
#44
this was all just a ruse to make tl bayesians look silly?

tl bayesians... what are the odds of that?
conspired against by a confederacy of dunces.
hypercube
Profile Joined April 2010
Hungary2735 Posts
January 04 2013 07:11 GMT
#45
On January 04 2013 16:07 EtherealDeath wrote:
Show nested quote +
On January 04 2013 16:06 hypercube wrote:
On January 04 2013 16:00 EtherealDeath wrote:
On January 04 2013 15:58 hypercube wrote:
The answer is 1/3 if we know the philosopher will ask the question. Otherwise the philosopher can manipulate the probability to be any amount he wishes.

There's an analogous situation in the Monty Hall problem. If the game show host has the choice of offering or not offering the switch he can manipulate probabilities to the point where switching offers no benefits (and this can't be exploited by the contestant).

Except if I recall correctly there is no problem there with what we would like it to be, and what it turns out to be from a Bayesian analysis.


Can you rephrase that, I don't understand what you mean.

From a Bayesian standpoint, you repick. So, no apparently false conclusion. This however makes the Bayesian answer look stupid as fuck.


Repick what? Are talking about the modified Monty Hall problem or the mad philosopher? I'm still not following.
"Sending people in rockets to other planets is a waste of money better spent on sending rockets into people on this planet."
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
January 04 2013 07:12 GMT
#46
On January 04 2013 16:11 hypercube wrote:
Show nested quote +
On January 04 2013 16:07 EtherealDeath wrote:
On January 04 2013 16:06 hypercube wrote:
On January 04 2013 16:00 EtherealDeath wrote:
On January 04 2013 15:58 hypercube wrote:
The answer is 1/3 if we know the philosopher will ask the question. Otherwise the philosopher can manipulate the probability to be any amount he wishes.

There's an analogous situation in the Monty Hall problem. If the game show host has the choice of offering or not offering the switch he can manipulate probabilities to the point where switching offers no benefits (and this can't be exploited by the contestant).

Except if I recall correctly there is no problem there with what we would like it to be, and what it turns out to be from a Bayesian analysis.


Can you rephrase that, I don't understand what you mean.

From a Bayesian standpoint, you repick. So, no apparently false conclusion. This however makes the Bayesian answer look stupid as fuck.


Repick what? Are talking about the modified Monty Hall problem or the mad philosopher? I'm still not following.

Monty Hall.
MidnightGladius
Profile Blog Joined August 2007
China1214 Posts
January 04 2013 07:15 GMT
#47
I don't want to broaden this into a discussion on what it means to be rational, but in practical terms, if I find myself suffering from amnesia, and if someone asks me what time it is when I have no way of independently verifying the time, I'm just going to tell them that I have no idea :3
Trust in Bayes.
sam!zdat
Profile Blog Joined October 2010
United States5559 Posts
Last Edited: 2013-01-04 07:21:25
January 04 2013 07:18 GMT
#48
well, I suppose if you were an orthodox bayesianism you would say that you figured out how many minutes were in a day and divided the credence by that, since you would express the time in a discreet number ways in natural language.

and then you would gather evidence about how it was or wasn't more likely to be different times

Or when your girlfriend says "I love you" you would consider the probability of your belief that she was actually sincere in this utterance.
shikata ga nai
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
January 04 2013 07:19 GMT
#49
On January 04 2013 16:18 sam!zdat wrote:
well, I suppose if you were an orthodox bayesianism you would say that you figured out how many minutes were in a day and divided the credence by that, since you would express the time in a discreet number ways in natural language.

and then you would gather evidence about how it was or wasn't more likely to be different times

Yea but then you'd calculate the odds and say the probability of being X day was 1/7, which is just as expected and you wouldn't be bleeding money if you bet on it, so amnesia in that sense doesn't fuck you over like it does here.
sam!zdat
Profile Blog Joined October 2010
United States5559 Posts
January 04 2013 07:22 GMT
#50
Sorry, I lost track of the topic and was just making fun of bayesian. sorry I'll stop.
shikata ga nai
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
January 04 2013 07:23 GMT
#51
On January 04 2013 16:22 sam!zdat wrote:
Sorry, I lost track of the topic and was just making fun of bayesian. sorry I'll stop.

No don't stop, it's like someone just gave me an e-Bayesian. So do you have a hidden trap somewhere that will put my Bayesian addiction back on track?
hypercube
Profile Joined April 2010
Hungary2735 Posts
January 04 2013 07:37 GMT
#52
On January 04 2013 16:12 EtherealDeath wrote:
Show nested quote +
On January 04 2013 16:11 hypercube wrote:
On January 04 2013 16:07 EtherealDeath wrote:
On January 04 2013 16:06 hypercube wrote:
On January 04 2013 16:00 EtherealDeath wrote:
On January 04 2013 15:58 hypercube wrote:
The answer is 1/3 if we know the philosopher will ask the question. Otherwise the philosopher can manipulate the probability to be any amount he wishes.

There's an analogous situation in the Monty Hall problem. If the game show host has the choice of offering or not offering the switch he can manipulate probabilities to the point where switching offers no benefits (and this can't be exploited by the contestant).

Except if I recall correctly there is no problem there with what we would like it to be, and what it turns out to be from a Bayesian analysis.


Can you rephrase that, I don't understand what you mean.

From a Bayesian standpoint, you repick. So, no apparently false conclusion. This however makes the Bayesian answer look stupid as fuck.


Repick what? Are talking about the modified Monty Hall problem or the mad philosopher? I'm still not following.

Monty Hall.


In that situation you need a probability distribution of what kind of strategy the other agent follows.

This is actually what strong poker players do when they meet a new opponent. They make assumptions based on prior experience as well as any information they can get their hands on. It's very much a Bayesian approach but it's hard to quantify because of the number of different variables that goes into it.

I mean, I guess you could say that when you have an intelligent agent the Bayesian approach gives no sensible answer if you have no information whatsoever on his strategy. I guess that's true, but that's true for any other view too.

In this case the position of the prize is just a distraction. The question is really about the strategy of the host. Specifying that we know nothing about the strategy and then asking for a number that directly depends on it seems disingenuous.
"Sending people in rockets to other planets is a waste of money better spent on sending rockets into people on this planet."
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
January 04 2013 07:44 GMT
#53
On January 04 2013 16:37 hypercube wrote:
Show nested quote +
On January 04 2013 16:12 EtherealDeath wrote:
On January 04 2013 16:11 hypercube wrote:
On January 04 2013 16:07 EtherealDeath wrote:
On January 04 2013 16:06 hypercube wrote:
On January 04 2013 16:00 EtherealDeath wrote:
On January 04 2013 15:58 hypercube wrote:
The answer is 1/3 if we know the philosopher will ask the question. Otherwise the philosopher can manipulate the probability to be any amount he wishes.

There's an analogous situation in the Monty Hall problem. If the game show host has the choice of offering or not offering the switch he can manipulate probabilities to the point where switching offers no benefits (and this can't be exploited by the contestant).

Except if I recall correctly there is no problem there with what we would like it to be, and what it turns out to be from a Bayesian analysis.


Can you rephrase that, I don't understand what you mean.

From a Bayesian standpoint, you repick. So, no apparently false conclusion. This however makes the Bayesian answer look stupid as fuck.


Repick what? Are talking about the modified Monty Hall problem or the mad philosopher? I'm still not following.

Monty Hall.


In that situation you need a probability distribution of what kind of strategy the other agent follows.

This is actually what strong poker players do when they meet a new opponent. They make assumptions based on prior experience as well as any information they can get their hands on. It's very much a Bayesian approach but it's hard to quantify because of the number of different variables that goes into it.

I mean, I guess you could say that when you have an intelligent agent the Bayesian approach gives no sensible answer if you have no information whatsoever on his strategy. I guess that's true, but that's true for any other view too.

In this case the position of the prize is just a distraction. The question is really about the strategy of the host. Specifying that we know nothing about the strategy and then asking for a number that directly depends on it seems disingenuous.

What does that have to do with Bayesian analysis giving a straight up illogical answer in this case?
hypercube
Profile Joined April 2010
Hungary2735 Posts
January 04 2013 07:49 GMT
#54
On January 04 2013 16:44 EtherealDeath wrote:
Show nested quote +
On January 04 2013 16:37 hypercube wrote:
On January 04 2013 16:12 EtherealDeath wrote:
On January 04 2013 16:11 hypercube wrote:
On January 04 2013 16:07 EtherealDeath wrote:
On January 04 2013 16:06 hypercube wrote:
On January 04 2013 16:00 EtherealDeath wrote:
On January 04 2013 15:58 hypercube wrote:
The answer is 1/3 if we know the philosopher will ask the question. Otherwise the philosopher can manipulate the probability to be any amount he wishes.

There's an analogous situation in the Monty Hall problem. If the game show host has the choice of offering or not offering the switch he can manipulate probabilities to the point where switching offers no benefits (and this can't be exploited by the contestant).

Except if I recall correctly there is no problem there with what we would like it to be, and what it turns out to be from a Bayesian analysis.


Can you rephrase that, I don't understand what you mean.

From a Bayesian standpoint, you repick. So, no apparently false conclusion. This however makes the Bayesian answer look stupid as fuck.


Repick what? Are talking about the modified Monty Hall problem or the mad philosopher? I'm still not following.

Monty Hall.


In that situation you need a probability distribution of what kind of strategy the other agent follows.

This is actually what strong poker players do when they meet a new opponent. They make assumptions based on prior experience as well as any information they can get their hands on. It's very much a Bayesian approach but it's hard to quantify because of the number of different variables that goes into it.

I mean, I guess you could say that when you have an intelligent agent the Bayesian approach gives no sensible answer if you have no information whatsoever on his strategy. I guess that's true, but that's true for any other view too.

In this case the position of the prize is just a distraction. The question is really about the strategy of the host. Specifying that we know nothing about the strategy and then asking for a number that directly depends on it seems disingenuous.

What does that have to do with Bayesian analysis giving a straight up illogical answer in this case?


What's the answer of the Bayesian analysis in your opinion?

+ Show Spoiler +
Have you made an assumption on the host's strategy? Explicitly or implicitly?
"Sending people in rockets to other planets is a waste of money better spent on sending rockets into people on this planet."
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
Last Edited: 2013-01-04 07:53:01
January 04 2013 07:51 GMT
#55
On January 04 2013 16:49 hypercube wrote:
Show nested quote +
On January 04 2013 16:44 EtherealDeath wrote:
On January 04 2013 16:37 hypercube wrote:
On January 04 2013 16:12 EtherealDeath wrote:
On January 04 2013 16:11 hypercube wrote:
On January 04 2013 16:07 EtherealDeath wrote:
On January 04 2013 16:06 hypercube wrote:
On January 04 2013 16:00 EtherealDeath wrote:
On January 04 2013 15:58 hypercube wrote:
The answer is 1/3 if we know the philosopher will ask the question. Otherwise the philosopher can manipulate the probability to be any amount he wishes.

There's an analogous situation in the Monty Hall problem. If the game show host has the choice of offering or not offering the switch he can manipulate probabilities to the point where switching offers no benefits (and this can't be exploited by the contestant).

Except if I recall correctly there is no problem there with what we would like it to be, and what it turns out to be from a Bayesian analysis.


Can you rephrase that, I don't understand what you mean.

From a Bayesian standpoint, you repick. So, no apparently false conclusion. This however makes the Bayesian answer look stupid as fuck.


Repick what? Are talking about the modified Monty Hall problem or the mad philosopher? I'm still not following.

Monty Hall.


In that situation you need a probability distribution of what kind of strategy the other agent follows.

This is actually what strong poker players do when they meet a new opponent. They make assumptions based on prior experience as well as any information they can get their hands on. It's very much a Bayesian approach but it's hard to quantify because of the number of different variables that goes into it.

I mean, I guess you could say that when you have an intelligent agent the Bayesian approach gives no sensible answer if you have no information whatsoever on his strategy. I guess that's true, but that's true for any other view too.

In this case the position of the prize is just a distraction. The question is really about the strategy of the host. Specifying that we know nothing about the strategy and then asking for a number that directly depends on it seems disingenuous.

What does that have to do with Bayesian analysis giving a straight up illogical answer in this case?


What's the answer of the Bayesian analysis in your opinion?

+ Show Spoiler +
Have you made an assumption on the host's strategy? Explicitly or implicitly?

The explicit is that the host flips a fair coin, and that coin flip which you do not observe determines what the host does. And Bayesian analysis says it is 1/2. But betting 1/2 would lose you money. You can see it easier by modifying the problem such that heads results in a wake amnesia sleep wake etc cycle for an arbitarily large number of days, and that on the last day, you walk free after tea. Then the problem becomes bettering on whether or not you walk free after tea, and if you bet 1/2 you sure as hell are going to be losing lots of money.
jrkirby
Profile Blog Joined August 2010
United States1510 Posts
January 04 2013 07:58 GMT
#56
You have to look at it from the perspective of the famous mathematician Sean Plott. If it feels like a funday, then there is 100% chance it's monday. Otherwise it's tuesday.

+ Show Spoiler +
I said famous, and mathematician. Day[9] is both, although he isn't famous for his mathematics.
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
January 04 2013 07:58 GMT
#57
On January 04 2013 16:58 jrkirby wrote:
You have to look at it from the perspective of the famous mathematician Sean Plott. If it feels like a funday, then there is 100% chance it's monday. Otherwise it's tuesday.

+ Show Spoiler +
I said famous, and mathematician. Day[9] is both, although he isn't famous for his mathematics.

LOL.
surfinbird1
Profile Joined September 2009
Germany999 Posts
Last Edited: 2013-01-04 07:59:36
January 04 2013 07:59 GMT
#58
irrelevant
life of lively to live to life of full life thx to shield battery
sam!zdat
Profile Blog Joined October 2010
United States5559 Posts
January 04 2013 08:07 GMT
#59
lol kirby
shikata ga nai
Carnivorous Sheep
Profile Blog Joined November 2008
Baa?21247 Posts
January 04 2013 08:09 GMT
#60
On January 04 2013 16:58 jrkirby wrote:
You have to look at it from the perspective of the famous mathematician Sean Plott. If it feels like a funday, then there is 100% chance it's monday. Otherwise it's tuesday.

+ Show Spoiler +
I said famous, and mathematician. Day[9] is both, although he isn't famous for his mathematics.


cute
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