The (strange) Mathematics of Game Theory | Are optimal decisions also the most logical?
Zach Star
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20.12.2021
I see so thats how Yumeko Jabami learn her strategies to win games
I though he was talking about the youtube channel lmao
this is a really great video
Can we not somehow incorporate the human element into the math?
That doesn't look anything like me
Show green because no matter what your opnet plays u win money
I would tell the other person that we should both pick green. Then I would switch to red. If they think I will show green they will either switch to red (and we would both get 10000) or stay on green and I would win 100000.
That’s kinda useful to be honest.
Now imma play rock 41.76%, paper 30.197%, and scissors 28.043% next time
If only we can cooperate more than being more greedy
Self-interest is a huge distraction for trust & it's hard to cooperate when trust is in uncertainty
10:00 This does exist- it’s a UK game show called Golden Balls
I’d tell them to play red and say I’ll pay green and then I’ll give them half
Yay, 0 war meine erste Schätzung
I wuold pick red the first time, and then green till he plays red. From this point the cycle starts again. If he cooperates we both get 100000 every 2 round, if not he only gets 1000 more than me. I have to say that this is valid only when you play it for a long time. When time gets shorter it's always efficient to play green the first round, and if he plays red than we play red too. If the opponent uses the same srategy we get 11000 every 2 round, and it's quite ok (probably the strategy here would change in order to get the most profit for both, always if the opponent doesn't betray). All what I've exposed is based on the impossibility to talk, but only to fix the strategy beses on the other's picks. If we can communicate it all changes: we would pick the most remunerative strategy, and if the other betray then we behave as there is no communication. I think this is the best strategy, but if wrong tell me!
I have a Deutan colour blindness, which means the video for me was very hard to follow visually, red ~ green damn
You sound a lot like matpat.
11:15 To make this betrayal game spicier, both players should be married to each other or be best friends.
4:42 when you wanted to make one door but accidentally made 12 doors in minecraft so you just drop the rest on the ground
Seems like some type of markov chain solution to me?
4:36 Look, traitors on both sides!!
9:50 Sidemen sunday where ksi snaked vik is essentially the same game😂
10:05 Easy, say I'm going to play red, distract my opponent to look behind them, then swap the cards.
I remember in a Brain Games episode where random* people played “Split” and “Steal”. If both split, then they get 50,000 each, if one says steal and the other says split than the stealer gets 100,000, if they both steal then nobody gets anything. It was interesting watching people take advantage of others optimism lol
13:10 this is NOT how you play terraforming mars xD beautiful stock
I mean id cooperate, and try to show green then split $50,000
10:04 yeah they could even make a game show out of that idea. and we could call it something cool like friends or enemies. nah that doesn't sound right how about friend or foe?
10:31 The best strategy is you plays green then me plays red, then next round you plays red and me plays green. This way the average of 2 rounds for each person is 100k instead of 20k.
they played the betrayal game on German television. One betrayed the other and the audience hated him
This isn’t the same as the prisoners dilemma because in that the most good comes from both cooperating, but in this it’s from one cooperating and one betraying
Green what is your problem green? What is your problem?
Mass Spellbreakers in every HU mirror.
What's so strange about the mathematics of game theory? It's just basic first and second year undergraduate math courses.
9:50 this actually was based on a show “split or steal”.
Great video why i using it with the fbi playing head games. Ita a great mathvtgatbi havent even learnbit in class. Im learning it out herr
Really interesting video, I enjoyed it except for 13:10. Why the hell do they take their titanium production and put it on the terraform rating tracker?!?!? that is not how you play Terraforming Mars!!
MR BEAST NEEDS TO DO IT
Seriously thank you for not including prisoners' dilemma
I think there is a gameshow that is doing exactly that
They had a game show like that called Friend or Foe in the US. Also completely unrelated, as someone who plays Terraforming Mars, what is that player doing at 13:09? They paid 1 currency cube to lay "Industrial Microbes" which raises your power production and steel production each by 1. I probably wouldn't noticed except they then moved the token that tracks their titanium production every turn and put it on the Terraforming tack with is both your score and income (he has 2 tokens on there for some reason) and then puts it on the board also for… some reason. They has someone who knew how the board should be set up but couldn't bother to have that person play something that looked like the game?
The only way to win a game is patience, knowing the amount of cards in the deck, and the unchangeable rules of the game. Use those to your favor and your win. I believe this theory is pointless because we are still counting ethics within the game. If you want a certainty within anything, you have to understand the consequences of your decisions and work the system of all factors to receive a outcome that benefits you. How you use this will define how your quality of life will be affected. There is always a cost for everything. That is why we have money. It is humanities attempt to regulate one another without losing a important resource.
in this case wouldnt something like an "alternating tit for tat" give the best payout for both? If both show red twice, they get 20000 each. But if one cooperates and the other one betrays, switching the roles each round, they would get 100000 each, which if 5 times as much as normal tit for tat. the question would only be how to implement something like this
What K level are you even operating on dawg?
Or you can agree that one person get the 100k and they split it afterwards
Frankly, your visualization was highly confusing, as what you said often times didn't match up with what you show.
For example, at 2:00 you talk about the response to the "You show red and green 50% of the time" being "Me shows Green all the time" but what you show is 50% Green and 50% Red which just doesn't fit with what you're saying. And the same happened later on again several times where what you say doesn't match what you show…
Those examples were very clearly presented and also very strong
This is a much for people who struggles with mathematics and general finance along with economics
If I show green and you show red, I get 5! I get 5
Sing with me
I don't think there's anything that I enjoy so much yet understand so little as game theory.
Yeah, the jail scenario never ends up being a situation where you have no consequences for betrayal.
You get less time by betraying your buddy. But, you also get your face beat in and a target on your back for the time. And you become a target on the street if you try to keep playing.
That's how you win and kill the betrayal element. You kill/harm the betrayers. That is why treason is punishable by death. When betrayal equals death, the game changes. And guess what happens to the odds?
15:08
12:00
So in nutshell Nash equilibrium is all about optimal solution with minimal risk.