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The Game That Gets Smarter:
By choosing to watch this video, you’ve already won… the game of quitting.
In 1958, John H. Fox, Jr. of the Minneapolis-Honeywell Regulator Company and L Gerald Marnie of MIT invented “The Game of Googol,” which revealed a seminal concept in the art of optimal stopping theory. The premise was simple: when given a series of choices, when do we finally decide to commit? When do we stop exploring alternatives and actually choose so that we maximize our payoff? How do we do that without just guessing?
The solution to knowing when to stop involves harnessing the power of Euler’s number, and it shows up in our lives every day. It’s how we decide when to choose a parking spot so we don’t have to drive all the way back around again. It’s how we decide who to commit to for life after having a series of relationships.
And we won’t always win. In fact, most of the time we won’t get it perfectly right. But employing optimal stopping in The Game of Googol is just like employing it in real life. We’ll win as much as possible, and when we miss by a little bit, we’ll still be pretty happy with the result.
*** SOURCES ***
For a great in-depth look at Euler’s Number, check out Numberphile:
Frontal-parietal and limbic-striatal activity underlies information sampling in the best choice problem:
A Solution to the Game of Googol, Alexander V. Gnedin:
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Some commenters have made an important point: there are definitely times when you do NOT want to be Eule-y to the max. Sometimes you need to break away from the rigid rules of the game.
For example, if you have 100 slips in The Game of Googol and one of your sample slips contains a number with 99 zeroes, you’d want to commit to it. You understand that the number is very close to the maximum, and with something like 90 slips left, the odds that you’d draw a number higher than that are extremely low. There just aren’t enough options, so it just wouldn’t make sense to keep turning over slips just because your system tells you to.
A reliable, math-based system is awesome… but when you know, you know.
Did the password to sign into the app get saved
When you pick out 11 people to be your potential wife, only examine the first 4, pick 5 and ignore everyone after 6.
clearly the distribution of the numbers weren't uniform on the google numbers. 95% of the time the maximum value in 10 numbers uniformly draw between 1 google numbers is of the order of 10^99
The most important question here:
How does a googol fit on such a small piece of paper?
I am fuming becouse of the last of us 2
What?! Are you meaning to tell me there's people here who didn't scroll through every single YouTube video before coming back to this one??
So what happens when the 1st slip is the highest and you have to flip 375,890,826 slips you'll be flipping all of them and pick non?
Hi
me:i will not quit
1 min later i quit!!
0:06 “hire the right plumber” Mario
0:11 “the love of your life” peach (Mario)
https://www.youtuhttps://www.youtube.com/watch?v=sCTnesjej8gbe.https://www.youtube.chttps://wwhttps://www.youtube.com/watch?v=sCTnesjej8gw.youtube.com/watch?v=sCTnesjej8gom/watch?v=sCTnesjej8gcom/watch?v=sCTnesjej8g
Anyone else just now realizing how small 100 really is
So you're saying that I should find 7.5B/e women, take the "best" sample out of them, and then marry the next woman I come across that's better. Seems simple enough.
(Actually this might be a good way to write a dating site dealing with millions of profiles…)
And first slip on 1, 391! 6:17
6:16. 3781 over e =1,390.95. Why 1,391st? Of 0.95?
Euler… Fancy!
So in 5:03 choose a bigger sample in 10 squares. Including…
My parents should have used the optimal stopping theory😂
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You need a password to log in and stuff XP
Vsauce2 to girl "statistically you have a 1/3 chance of being the girl I should marry, wanna try?"
3:14 rip palpels
The Kepler thing is wrong, because there are way more than 11 women.
Don't forget there would still only be about a 1/3 chance that Kepler would have found the best match for whom to be with out of the eleven.
I will apply this strategy for stock market for today!!
Markiplier has entered the chat.
2:24 who else noticed the battle nations theme
Kevin:The game you quit
Me: Life?
Does it work with life?
you can't quit if you never played!
“Quitters never win and winners never quit”
Vsauce2: We don’t do that here
jokes on you i didn't chose this video it was autoplay
Also why can’t what if we do everything perfect first and because of e and this video he misses his chance and ruin his life hehe dark hehe
Sry I still don’t understand as the example but then what if the biggest number is the first one?
I swear this mans is like part of the freaking bourgeoisie
4:34 My friend looking at my redstone contraption
What if I’m bad at math