How to Win with Game Theory & Defeat Smart Opponents | Kevin Zollman | Big Think

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  • เผยแพร่เมื่อ 10 ธ.ค. 2024

ความคิดเห็น • 826

  • @bigthink
    @bigthink  4 ปีที่แล้ว +65

    Want to get Smarter, Faster?
    Subscribe for DAILY videos: bigth.ink/GetSmarter

    • @jameslourenco1570
      @jameslourenco1570 3 ปีที่แล้ว +2

      I somewhat disagree. If your opponent is much more sophisticated and your position is weaker you should try to create complications. In any game that allows you to muddy the waters, the better thinker will still make more correct decisions over the long run but it will also create more opportunities for your opponent to either make a huge error that allows you to turn the game or to shock them into a kmore passive stance allowing for a chance to i

    • @jonstrickland4848
      @jonstrickland4848 3 ปีที่แล้ว +2

      Starts with being skeptical of above claim.

  • @albertofrantz310
    @albertofrantz310 3 ปีที่แล้ว +2511

    “If I don’t know what I’m doing, the enemy won’t know either!”

    • @Tabu11211
      @Tabu11211 3 ปีที่แล้ว +100

      That's why button spam can work in a fighting game.

    • @kofiacquah6972
      @kofiacquah6972 3 ปีที่แล้ว +9

      😂😂😂

    • @acardinalconsideration824
      @acardinalconsideration824 3 ปีที่แล้ว +70

      Works 50% of the time, every time

    • @ardidsonriente2223
      @ardidsonriente2223 3 ปีที่แล้ว +35

      But, ALSO, you don't need to show that you don't know. Keep them thinking you are the more sophisticated one.

    • @krzychaczu
      @krzychaczu 3 ปีที่แล้ว +7

      Or will learn that you're lost.

  • @Stickyrolls123
    @Stickyrolls123 3 ปีที่แล้ว +592

    The art of war is the art of deception. I'm a student of history and spend a lot of my time reading about the great generals of the ages. This is one thing they all have in common. When placed in a situation where defeat looks inevitable, do something crazy and unexpected. It's been said by many people through history that a good general is lucky. After watching this and thinking about the things I just said, I don't think they meant just naturally "lucky" but instead they were willing to take calculated chances when they needed to.

    • @bullymaguire2061
      @bullymaguire2061 3 ปีที่แล้ว +29

      Yes, that's why Erwin Smith won

    • @duffmangames6997
      @duffmangames6997 3 ปีที่แล้ว +11

      This makes me want to reread Conquest of Gaul, Caesar himself sometimes seemed surprised at how 'lucky' he'd been when vastly outnumbered

    • @wewantrenaissance
      @wewantrenaissance 3 ปีที่แล้ว +5

      Can you please suggest me ...where from i should start reading about history....any books or anything

    • @Stickyrolls123
      @Stickyrolls123 3 ปีที่แล้ว +14

      @@duffmangames6997 I definitely had Caesar in mind! One thing about Caesar is that he would place himself in these situations that looked unwinnable and I think, at least some of the time, he didn't initially have a complete path to victory planned. He trusted in his abilities to carry him through. You see it in Gaul and in Britain. You see it during the civil war when he's in Greece, Spain, North Africa and Egypt.

    • @duffmangames6997
      @duffmangames6997 3 ปีที่แล้ว +6

      @@Stickyrolls123 Yeah I remember being amazed (at 16) that he would personally go on the front lines and sometimes that would make the battle. Anyways it's nice to have a response to a comment where someone isn't trying to rip my head off! Have a good one:)

  • @ebinnisti1769
    @ebinnisti1769 6 ปีที่แล้ว +1609

    Also: if you repeat your overpowered tactic in game, your enemy will learn from you and probably turn the tables. This is why you should do something "random" once in a while, so they lose their concentration on your tactic

    • @fpvillegas9084
      @fpvillegas9084 3 ปีที่แล้ว +80

      In fact, this is how Napoleon eventually lost. His opponents figured that they simply need to imitate the French system of war. Which prompted Napoleon to say that "one needs to change fighting style every 10 years". To keep your opponents always on the "wrong foot".

    • @nikolainavarro6558
      @nikolainavarro6558 3 ปีที่แล้ว +2

      Haha this one is so sneaky!

    • @bando8086
      @bando8086 3 ปีที่แล้ว +3

      Give up switch advantage in Pokémon go periodically. Gotcha

    • @kalebdodge3488
      @kalebdodge3488 3 ปีที่แล้ว +10

      I believe this is called "conditioning"

    • @jerickalberca4503
      @jerickalberca4503 3 ปีที่แล้ว +3

      This applies in medieval wars to the 1700s and the modern games like football and basketball and you need to be versatile and think two-way to have a leverage of whatever may happen

  • @AllenLinnenJr
    @AllenLinnenJr 7 ปีที่แล้ว +1352

    Ferengi rule of acquisition 76:
    Every once in a while, declare peace. It confuses the hell out of your enemies.

    • @ShawnRavenfire
      @ShawnRavenfire 7 ปีที่แล้ว +16

      I was just about to comment the same thing.

    • @AllenLinnenJr
      @AllenLinnenJr 7 ปีที่แล้ว +20

      But, what if you know that they know?

    • @azuzajones6654
      @azuzajones6654 6 ปีที่แล้ว +7

      +Allen Linnen, Jr. almost like infinite recursion.

    • @donbasuradenuevo
      @donbasuradenuevo 6 ปีที่แล้ว +19

      It's been helping North Korea a lot.

    • @thegaspatthegateway
      @thegaspatthegateway 6 ปีที่แล้ว +3

      worked in Mars Attacks. gosh it's ruthless

  • @anothrdude
    @anothrdude 6 ปีที่แล้ว +596

    I once beat a guy 10 times in a row at rock paper scissors. I was on fire, but the 6th win I was basically just reading his mind, so confident. It has never happened again, I've tried but I'm just normal, but that dude is out there and he carries his defeat with him

    • @hydra5758
      @hydra5758 3 ปีที่แล้ว +52

      There's an ai on a website out there on the internet that's supposed to beat you at rock paper scissors by reading your mind. I managed to gain 50+ wins because who better to read my mind than me?

    • @HaiNguyen-fx2tx
      @HaiNguyen-fx2tx 3 ปีที่แล้ว +37

      I have experienced that as well. The feeling of overwhelming confident, like everything is on a chess table and you know exactly every move and possibility
      I tried to search for it and found something called 'flow state' but not exactly. And same as u, I couldnt experience it again since then. Hope to get your reply because you comment has been 3 years already lmao

    • @OmegaMouse
      @OmegaMouse 3 ปีที่แล้ว +25

      @@HaiNguyen-fx2tx I have this ability. I have done things highly improbable on the first try. The trick is to focus but not care at the same time. It's like a Jedi state of mind.

    • @lastmanstanding7155
      @lastmanstanding7155 3 ปีที่แล้ว +4

      Reminds me of when I figured out the damn cracker barrel puzzle thing. It's like I went into hyper focus thinking about the logistics of how to keep jumping each stick and not leave one out. Sounds dumb but I managed to figure out the game and developed my method with it. That's just one example tho. I feel like if I ever truly cared enough I could enter that type of state. Same has happened to me in sport games like with ultimate and basketball. Just hyper focused and aware. Not exactly the best athlete but superior strategizing and thinking let me out manuver people.

    • @jakeesco4573
      @jakeesco4573 3 ปีที่แล้ว

      It’s like how your first half court shot is closer than the third shot

  • @superdude292
    @superdude292 3 ปีที่แล้ว +71

    I wrestled in high school and I noticed that when I would wrestle someone who wasn’t a wrestler it felt very weird and awkward. I could always win but sometimes I would go for a move and be met with a knee or elbow in my face that shouldn’t be there. Or I would execute a move with much more force than was needed because my opponent wasn’t resisting it at all and I would lose my balance. I imagine this is an example of what this video is explaining.

  • @jt95124
    @jt95124 3 ปีที่แล้ว +296

    At my poker game, the regulars were very good players. You could read them and it would be accurate and most of the time they did what was best for them, so you could figure out where they are. Sometimes we had a beginner come and play. You couldn't read them because they didn't know where they were, and you couldn't interpret their actions to figure out where they were because they didn't know the "right" (game theory) thing to do. They frequently won. The second time they played, they had experienced getting bushwhacked, began to understand, and then they did very badly.
    Another example is WW2 u-boats. They would submerge when a destroyer detected them. At first, they would turn in the direction that made them hardest to detect. The allies figured this out, then the Germans started turning to the easiest place to detect. Again, the allies figured this out.
    The problem with "tricky" play is that doing something unexpected is by nature the sub-optimal thing to do. Eventually it becomes rock/paper/scissors.

    • @elyk46
      @elyk46 3 ปีที่แล้ว +20

      Your explanation of poker is the reason I wiped the floor with the group I played with my first time. No idea how I did it.

    • @jameel626
      @jameel626 3 ปีที่แล้ว +10

      I remember in my first poker game, I owned everybody. You have a correct observation

    • @peterkhew7414
      @peterkhew7414 3 ปีที่แล้ว +4

      Beginner's luck.

    • @Luper1billion
      @Luper1billion 3 ปีที่แล้ว +10

      In fighting games it breaks down to attack/block/grab. Attack is beat by block, block is beat by grab, and grab is beat by attack. They can put them in a vortex where youre constantly reading them play after play. Its actually hard for a human to be truely random

    • @generateike
      @generateike 3 ปีที่แล้ว +5

      poker is not that simple my friend he probably just ran good that specific session

  • @ashandwit
    @ashandwit 3 ปีที่แล้ว +87

    Being a bit unpredictable: when I was a kid on a baseball team, we were playing opponents who had a really good pitcher; two balls, two strikes on me, I decide to SWING at the next pitch, regardless--- it was a high pitch, that was going to be a ball, BUT, I swung anyways. It caught them off guard, and was a nice line drive. We got a double out of it.

    • @OmegaMouse
      @OmegaMouse 3 ปีที่แล้ว +6

      I do this in table tennis. If the score is tight near the end, I will throw in serve completely different from what I've been doing all game. Works like a charm.

  • @mellamobob
    @mellamobob 7 ปีที่แล้ว +165

    So basically, don't let your opponent get the hard reads.

    • @collencole4261
      @collencole4261 3 ปีที่แล้ว +2

      Or if you are defending, get a hard read and keep your opponent from using their strongest moves.

  • @harshshah2549
    @harshshah2549 3 ปีที่แล้ว +22

    That's what meta is in games. The best strategy is the best until either others start using it, or others start countering it. Thus, the meta always changes to be whatever counters the best currently available strategy.

  • @wawathulu5637
    @wawathulu5637 6 ปีที่แล้ว +688

    I flip a coin for everything in life. Can't let god catch on to my strategy.

    • @rayrous8229
      @rayrous8229 3 ปีที่แล้ว +38

      No country for old men.

    • @StephensCrazyHour
      @StephensCrazyHour 3 ปีที่แล้ว +67

      Who do you think is deciding which way the coin lands?

    • @davids3539
      @davids3539 3 ปีที่แล้ว +24

      Shouldn't you be in Arkham?

    • @nerovondoom6298
      @nerovondoom6298 3 ปีที่แล้ว +5

      @@davids3539 Only if he has a law degree.

    • @rayanebouayad920
      @rayanebouayad920 3 ปีที่แล้ว +2

      Shelby salutes you

  • @justinbailey2419
    @justinbailey2419 5 ปีที่แล้ว +116

    Random things to keep an opponent off guard might work sometimes, but if your opponent is good enough your lack of planning will only show you as disorganized and ultimately might lead to your defeat. Depends on the type of game I guess really, doing a bunch of random moves in chess might help but in my experience you win more games by thinking as many steps ahead as you can.

    • @TheJoseph0012
      @TheJoseph0012 3 ปีที่แล้ว +13

      I think he is talking about poker specifically. And I agree, game theory as I understand it doesn't have a rigid steps to follow, I think it is about being aware and analytical on the current situation/dilemma you are in before making a decision.

    • @ashyles0110
      @ashyles0110 3 ปีที่แล้ว +4

      Chess is not a zero sum game, you can draw

    • @tylanader9988
      @tylanader9988 3 ปีที่แล้ว +6

      @@ashyles0110 I don't think that makes chess not a zero sum game. But regardless, this video wouldn't apply to chess since it's a perfect information game with alternating turns. If it had fog of war or it were a completely different game where you and your opponent chose your next move at the same time, then the optimal strategy against a sufficiently sophisticated opponent would include randomness.

    • @damp2269
      @damp2269 3 ปีที่แล้ว +2

      @@tylanader9988 you are correct, chess is a zero sum game. zero sum games are representation of a situation in which an advantage that is won by one of two sides is lost by the other. basically both players can't win or lose at the same time. you are also correct about being perfect information but there has been some unorthodox plays in chess that have lead to surprising victories, I wouldn't call those random but they might have seem un-optimal at the time of play.

    • @brianharmon5544
      @brianharmon5544 3 ปีที่แล้ว +2

      @@damp2269 Right. In chess sometimes moves that are not objectively the best can work, especially if the correct response is hard to find and there are many plausible-looking-but-actually-bad responses. Basically those move bank on your opponent not having enough time and/or skill to work out the best counter play. In the long run, that sort of approach only works if you have a very good sense of your opponents' skills.

  • @albertohuerta5763
    @albertohuerta5763 7 ปีที่แล้ว +178

    Min-max strategy seems like little finger's philosophy in game of thrones

    • @brain0nfire
      @brain0nfire 6 ปีที่แล้ว +9

      Alberto Huerta That's basically how you play chess.

    • @Dr._Bo
      @Dr._Bo 3 ปีที่แล้ว +3

      Its funny how I use it in a game of chess without even know (first time hearing about it), but my uncle always win.
      That fucked up man😭

    • @lopiyo
      @lopiyo 3 ปีที่แล้ว +6

      And its also an accountability criteria:
      From a situation with 2 posibilities, think and prepare for the worst case scenario. The idea is make the economic and financial arrangementes to pass trought it the best way u can handle.

    • @carloscollazoii
      @carloscollazoii 3 ปีที่แล้ว

      I know, right!

  • @dpgol88
    @dpgol88 3 ปีที่แล้ว +206

    This is exactly how the Joker defeats Batman!

    • @TheHinduRakshak
      @TheHinduRakshak 3 ปีที่แล้ว +17

      When you are good at something, don't do it for free
      -------
      A True Legend

    • @jigsawsaw455
      @jigsawsaw455 3 ปีที่แล้ว +16

      Actually he never defeated Batman! Joker always tries to mess up with Bruce's mind but ends up failing miserably.

    • @gabriell7640
      @gabriell7640 3 ปีที่แล้ว +6

      @@jigsawsaw455 hahaha it seems you haven’t read A Death In the Family

    • @sp1r1tm0lecule
      @sp1r1tm0lecule 3 ปีที่แล้ว +3

      @@jigsawsaw455 you don't read the comics, I'm guessing. Check out the Batman who Laughs.

    • @muratozdemir1812
      @muratozdemir1812 3 ปีที่แล้ว

      Though, the winner is always the writer. If he wants the Joker to defeat even Darkseid, he could definitely do it. Lol

  • @willculpepper9637
    @willculpepper9637 3 ปีที่แล้ว +35

    "The craziest one in the room, runs the room"

    • @energy_waves
      @energy_waves 3 ปีที่แล้ว +3

      Nah, they get outed for a real leader.

    • @josephz803
      @josephz803 3 ปีที่แล้ว +2

      @@energy_waves unfortunately, not where I work.

    • @energy_waves
      @energy_waves 3 ปีที่แล้ว +3

      @@josephz803 Well that may be an unfortunate side effect of the workplace being sort of unnatural, where the quality of someones character and their leadership ability doesn't neccesarily lead to them being chosen as the "leader".

  • @janofb
    @janofb 2 ปีที่แล้ว +10

    As a kid I used to beat my Grandfather at Chess by making crazy moves. He always thought he had missed some play and it threw him off.

    • @py_a_thon
      @py_a_thon ปีที่แล้ว

      I am by no means a chess master, yet generally that is a fault of strategy.
      If one relies upon tactics and trades entirely, they will sometimes easily miss a structural play. (Pin, tempo, check, checkmate chase)
      So basically they miss their own opportunity to win, and they miss the tempo gain of another.
      Developement vs tactics/gambits.

  • @Moose00019
    @Moose00019 3 ปีที่แล้ว +61

    My god, Naruto is a tactical genius...

    • @rohanjarande
      @rohanjarande 3 ปีที่แล้ว

      Exactly!

    • @arnbloodbound3650
      @arnbloodbound3650 3 ปีที่แล้ว +3

      Damn. Maybe we were the fools all along fool ya fool!

  • @imdeexpert5828
    @imdeexpert5828 3 ปีที่แล้ว +6

    A wise man said.. my favorite style is no style... be like a water... be dangerous everywhere.. have no obvious strength or obvious weakness.. therefore your opponents have no way to figure how to beat u.

  • @jeffmejia3556
    @jeffmejia3556 3 ปีที่แล้ว +4

    Full contact fighting is very much this way. The longer a bout goes on your opponent most always falls into a predictable pattern. It’s this pattern when detected is when you exploit him. The thing to keep conscientious is not to fall into a pattern for him to detect. This means changing things up to “keep him off balance”.

  • @notsureatall5063
    @notsureatall5063 ปีที่แล้ว +1

    Thanks!

    • @bigthink
      @bigthink  ปีที่แล้ว

      Thank you very much! We'd be happy to send you some stickers if you'd like - just fill out our Google form at docs.google.com/forms/d/e/1FAIpQLSdZdQb0Rb-_UO4txWxjVQD5bISKMFGt90CFeyeFvPw-92McBg/viewform?usp=sf_link

  • @keeshuunedited5678
    @keeshuunedited5678 3 ปีที่แล้ว +4

    This applies to most games where you face someone else and is really useful. Fighting games are practically entirely based off this concept and it's great.

  • @william.darrigo
    @william.darrigo 3 ปีที่แล้ว +62

    I like to do "dumb" moves in chess all the time. Totally throws off the opponent.

    • @achikandelaki8298
      @achikandelaki8298 3 ปีที่แล้ว +5

      this works even better when the opponent thinks he is the sophisticated one

    • @t.oguzunluerler4804
      @t.oguzunluerler4804 3 ปีที่แล้ว +22

      Nope this doesnt work in chess, random moves against decent players end up in ruin

    • @caesare.j.w.668
      @caesare.j.w.668 3 ปีที่แล้ว +1

      @@t.oguzunluerler4804 yeah

    • @johngalt1555
      @johngalt1555 3 ปีที่แล้ว +11

      These are called blunders 😉

    • @bubbahottep8644
      @bubbahottep8644 3 ปีที่แล้ว

      Me too. I like to gambit my king.

  • @flufflepuffle
    @flufflepuffle 6 ปีที่แล้ว +21

    When I was in 5th grade, I discovered that people tended to try and predict what I would use, and usually predicted paper, so I almost always won with scissors. On the second go they would usually use rock to best my scissors, so I almost always won 2/3. It was great.

  • @derpy1031
    @derpy1031 4 ปีที่แล้ว +14

    I think this works well with relationships specifically the ones in which you could never fully trust the other person(for example business or some friendships).

    • @kaustuvprateeq6756
      @kaustuvprateeq6756 4 ปีที่แล้ว

      I never thought about that. Mini max would be great in sketchy relationships although it wouldnt be a zero sum game unless the other person has an ulterior motive that goes completely against your ideal of winning. Like one of you murdered the maid and you're both tryna prove if it was the other person.

    • @layseebalsam
      @layseebalsam 4 ปีที่แล้ว +13

      No, that's the exception he mentioned. This is about zero sum, in business the best outcome is win win. In such situations min max is opportunistic behaviour, which will erase potential gains.

  • @dubbyplays
    @dubbyplays 3 ปีที่แล้ว +2

    I realized this concept aswell, like in the anime Death Note: one is smart, but the other knows how smart is the other and wants to outsmart him, but that guy knew he would try to outsmart him so he had a backup plan, but the guy prepared a plan to counter a possible backup plan and this goes to the infinite...
    The solution? Randmoness. He can't outsmart you because he doesn't know how you could possibly choice, so he will also choose the randomness.
    So randomly, one of the 2 outsmarters will win, decided by destiny.

  • @Bamboozler2349
    @Bamboozler2349 3 ปีที่แล้ว +4

    Wow this is completely true. I’m above average at shooter games so I’ll often get put in better lobbys (no i’m not claiming to be super good, just better than average but worse than skilled players). However, to have fun I always like to do random, stupid strategies and surprisingly they work more than they should because players at my level are expecting people to play with meta-strategies

  • @minciNashu
    @minciNashu 7 ปีที่แล้ว +220

    Yeah, well, that's just, like, your theory, man.

    • @stephenmurray2851
      @stephenmurray2851 6 ปีที่แล้ว +11

      minciNashu The dude abides man

    • @jseanbrooks1
      @jseanbrooks1 3 ปีที่แล้ว +8

      As much as I love the Big Lebowski we don't need to encourage this flawed thinking about what a scientific theory actually is amongst laypeople that won't get the reference.

    • @fito3496
      @fito3496 3 ปีที่แล้ว +4

      @@jseanbrooks1 Yeah, well, that's just, like, your opinion, man.

  • @SageofCancer
    @SageofCancer 3 ปีที่แล้ว +28

    A'ight time's up let's do this LEEROYYYY JENKINSSS

  • @harrycaffreymaffei6405
    @harrycaffreymaffei6405 3 ปีที่แล้ว +3

    This was a great way to breakdown mixed nash equilibria, I wish my prof said this instead of talking about the fixed point theorem

  • @QasimAlKhuzaie
    @QasimAlKhuzaie 3 ปีที่แล้ว +2

    This reminded me of how I used to submit projects in the University with the least time and effort spent: by making a project that hardly fulfills the requirements with the least resources available (time, effort and cost if required) and make use of the remaining resources to "sell" my project to the professor. Start from the bottom up, not the other way around and don't place the bar high enough to "fail" delivering such project on time, that's how AI thinks!!

  • @mr.pavone9719
    @mr.pavone9719 3 ปีที่แล้ว +35

    See, I mostly play badly but then do something smart. That confuses them too and makes my victory hurt them even more.

    • @mikeroadblock
      @mikeroadblock 3 ปีที่แล้ว

      I play dumb, like a fox.

    • @Yojimbo711
      @Yojimbo711 3 ปีที่แล้ว

      This only works on opponents inferior to you though

  • @mjsonder5822
    @mjsonder5822 3 ปีที่แล้ว +6

    Mosquitos have mastered this technique so well, they don't even need to evolve to thrive.

    • @Tempusverum
      @Tempusverum 3 ปีที่แล้ว +1

      Yes. They simulate cloaking technology by flying over dark furniture, then emerge once you give up 🦟

  • @henriquemachi8401
    @henriquemachi8401 3 ปีที่แล้ว +4

    i'm here watching this video because i wanna learn how to win an argument with my gf

  • @mfurquimdev
    @mfurquimdev 3 ปีที่แล้ว +3

    When I was studying game theory to implement an algorithm to analyze a game called Big Points, I interpreted the minimax theory as being: "minimize your opponents score and maximize your score". It seems to be a little different than "minimize your maximum loss".

    • @sumerrana6805
      @sumerrana6805 3 ปีที่แล้ว

      I'm kinda confused
      please explain with examples

    • @damp2269
      @damp2269 3 ปีที่แล้ว +1

      @@sumerrana6805 his interpretation is to score as much as possible while keeping your opponent from scoring as much as possible. this doesn't protect you from a worst case scenario against you.
      In others words Mateus is being proactive with all his turns without thinking what would his enemy do and devising a defense against that situation.
      say there is a game where both teams pick their actions and they play out at the same time. now Mateus says "half of my team will gather as many point as they can and the other half will play interference and deny as many points for the enemy as possible"; the enemy goes "all out to destroy Mateus base". the half of Mateus negating points doesn't do anything because the enemy is not gathering points and he did nothing to defend his base. not a perfect example but i think it explains the difference in reasoning.

  • @FRISHR
    @FRISHR 4 ปีที่แล้ว +29

    But that’s just a theory, a Game Theory!

    • @jseanbrooks1
      @jseanbrooks1 3 ปีที่แล้ว +8

      It is a scientific theory which is different from your personal opinions or guesses that you call theories.

    • @Bleepbleepblorbus
      @Bleepbleepblorbus 3 ปีที่แล้ว +11

      @@jseanbrooks1 I don't think you get the joke

    • @Jaybird196
      @Jaybird196 3 ปีที่แล้ว +4

      Someone was gonna say XD .

    • @Tabu11211
      @Tabu11211 3 ปีที่แล้ว +3

      @@jseanbrooks1 that's the tagline for a yt show titled game theory.

  • @coma-body-stilllife
    @coma-body-stilllife 6 ปีที่แล้ว +4

    80:20 rule - let them keep taking the 20 while you're protecting your 80. then let them keep taking your 20 until you have nothing. mini max sounds great

    • @williamwalsh4743
      @williamwalsh4743 3 ปีที่แล้ว

      Huh

    • @yoshikagekira7600
      @yoshikagekira7600 3 ปีที่แล้ว

      sounds right to me👌

    • @SirWalterSansRien
      @SirWalterSansRien 3 ปีที่แล้ว

      yeah in a fighting game if your opponent realizes you are thinking minmax rule then you're just going to get minned to death. you have to periodically violate the rule to appear unpredictable while still trying to follow it overall.

  • @sergeykuznetsov3692
    @sergeykuznetsov3692 ปีที่แล้ว +1

    English: Minimize your maximum loss
    Russian: Negatively maximize your maximum negative gain

  • @maxmeh2342
    @maxmeh2342 3 ปีที่แล้ว +47

    This video was so helpful! It taught me to never click on a Game Theory video again, lest I waste 3 minutes of my life.

    • @anasyusuf1607
      @anasyusuf1607 3 ปีที่แล้ว

      Tnx 4 saving me 3 minutes, may yours always be blessed 🙌

    • @ClaudiuManea
      @ClaudiuManea 3 ปีที่แล้ว

      me2

    • @safakt3986
      @safakt3986 3 ปีที่แล้ว +2

      I always look for comments like this when I click on a video like this one :D

  • @popopopo9947
    @popopopo9947 7 ปีที่แล้ว +10

    loved the term "mini max"

  • @micha-fc8lg
    @micha-fc8lg ปีที่แล้ว

    i like this explanation.... alot of people make it sound super complicated when they explain it!!

  • @nathanngai3913
    @nathanngai3913 3 ปีที่แล้ว +6

    When you realize all your life decisions have just been game theory

  • @soccernatic
    @soccernatic 3 ปีที่แล้ว +7

    This is basically the essences of trading, minimize your risk as much as possible. This is great!

  • @gustavoamador7640
    @gustavoamador7640 2 ปีที่แล้ว +2

    You must also realize that if your opponent is “very very smart” , it means it took them time to develop that intelligence, which means you can also develop that intelligence over time.

    • @adolfhipsteryolocaust3443
      @adolfhipsteryolocaust3443 ปีที่แล้ว +1

      That's not how intelligence work

    • @paulnyagini
      @paulnyagini ปีที่แล้ว

      ​@@adolfhipsteryolocaust3443 you know clause of good luck and intuition can make you think you are intelligent.

  • @Deondre_Clark
    @Deondre_Clark 7 ปีที่แล้ว +394

    Trump took this and ran

    • @KalElKryptonsFinest
      @KalElKryptonsFinest 7 ปีที่แล้ว +4

      Deondre Clark 😂😂😂

    • @sebastianelytron8450
      @sebastianelytron8450 7 ปีที่แล้ว +20

      Legend says he's still running

    • @Weewoo12309
      @Weewoo12309 7 ปีที่แล้ว +32

      Trump was the wrong man in the right moment. He Charmed the angry mob and was the sucker punch against a weak and failed opposition. He is literally the epitome of the USA and to some degree all of western culture. The Chinese and Russia will certainly and naturally have more of a say in this world previosly dominated by the West. For the record I am European and one thing in life is that change is constant.

    • @adcashmo
      @adcashmo 7 ปีที่แล้ว +1

      Deondre Clark ha u beat me to it

    • @ocmetals4675
      @ocmetals4675 6 ปีที่แล้ว

      LOL!

  • @kirby4539
    @kirby4539 6 ปีที่แล้ว +11

    I’ve never heard of game theory before this but I already use the strategy he described

  • @persimmon93
    @persimmon93 3 ปีที่แล้ว +2

    I beat my friend's dad at Go by initially playing "by the book" and then placing ~5-8 completely random unexpected placements of my pieces. Thinking I had a plan, he moved to counter my random pieces which required 2-3 extra moves so in essence my 5-8 moves were equivalent to 15-24 moves for him.

  • @The_Zombie_Cure
    @The_Zombie_Cure 3 ปีที่แล้ว +1

    Lol so true. As long as I've been playing fighting games, especially since mvc2 and 3, when it came to cross ups I always thought 'If I don't know where I'm going, they don't know where I'm going' it's worked great ever since.

    • @damp2269
      @damp2269 3 ปีที่แล้ว

      that's great, although I'd bet you have a bias you are not aware of, that a good player will pick up on so mix it up with deliberate choices for maximum efficacy.

  • @QoraxAudio
    @QoraxAudio 2 ปีที่แล้ว +1

    With FPS games, it's all about being "off angle" and the routes you travel.
    Being "off angle" means you're not defending or camping on a common spot, but a bit more down the road or a few windows to the left/right.
    And you shouldn't always take the same routes to travel from point A to B if there are multiple ones.
    If you have to attack an objective, there could be one side that's the weakest point, but don't make a habit of always attacking from that side - otherwise they'll focus and set up additional defenses at that side.
    Attack them from another side every once in a while, to keep their focus split up across all the possible sides.

    • @py_a_thon
      @py_a_thon ปีที่แล้ว

      5 windows. 2 buildings.
      Cycle.
      Drop a care package. Use it as bait.
      Get a predator missile. Get 2+ kills.
      Drop an AC130 kill streak.
      Let your teammates get the carepackage.
      Gg.

    • @py_a_thon
      @py_a_thon ปีที่แล้ว

      Pro mode: ninja mode, counter UAV, ac130, drop a nuke (that does not work in competitive play. Your nuke should be a counter uav, and an actual nuke is a wasted killstreak)

    • @py_a_thon
      @py_a_thon ปีที่แล้ว

      Counterstrike? Protect the AWP. Get really good with pistols, the carbine and the ak47.
      Halo? Sniper rifle and battle rifle. Plasma nades.
      Battlefield derivatives? A good AR or next level sweep sniping and teamwork.

  • @colomtnhigh77
    @colomtnhigh77 7 ปีที่แล้ว +4

    Fantastic video, thank you!

  • @5orgen51
    @5orgen51 3 ปีที่แล้ว +1

    My cross country coach taught me to treat practice as it's life or death, so the actual race feels like a warm up.

  • @NK-fx1qs
    @NK-fx1qs 3 ปีที่แล้ว

    cool video. counter intuitive indeed is great just like great security is random is random

  • @sunavila
    @sunavila 3 ปีที่แล้ว

    Awesome video

  • @mohhammadscharifie5059
    @mohhammadscharifie5059 8 หลายเดือนก่อน

    I liked the content👍👍

  • @sydbrown310
    @sydbrown310 3 ปีที่แล้ว

    this is great advice for fighting games

  • @henrykashyap8913
    @henrykashyap8913 ปีที่แล้ว

    This is helpful for poker players... Who love to play pokers...

  • @Smallpriest
    @Smallpriest 3 ปีที่แล้ว

    Great advice, i shall use this strategy against Sora and Shiro

  • @arandompersonful
    @arandompersonful 6 ปีที่แล้ว +3

    1. Cooperate if you are in a non zero-sum game
    If you are in a zero-sum game...
    2. If your opponent is smart (smarter/ more sophisticated/ has more information) than you
    - You should consider doing something unintuitive or random i.e flip a coin.
    - Adopt the strategy that minimizes your maximum loss (min-max strategy)
    3. If your opponent is not sophisticated (you are smarter etc.)
    - depends on all the factors
    - no one size fits all strategy (acc. to game theorists)

  • @grahamn311
    @grahamn311 3 ปีที่แล้ว +3

    Charlie Day screaming "Wild card, b*itches!", comes to mind.

  • @OhNoNotAgain42
    @OhNoNotAgain42 3 ปีที่แล้ว +1

    I always assume that my opponent is going to assume that my actions are based on assumptions that I am making counter to my best assumptions of his assumptions. I call it the “Inspector Clouseau” gambit.

  • @samuelmudende7057
    @samuelmudende7057 3 ปีที่แล้ว

    Wow powerful discussion

  • @ahumanjustbeing2466
    @ahumanjustbeing2466 6 ปีที่แล้ว +11

    its Eckert tolle without the peach fuzz

  • @kevintorres5483
    @kevintorres5483 3 ปีที่แล้ว +1

    This is why in video games some times bad players beat the better players.
    For example in a fighting game, as time goes on there are strategies that are established and shared through out the community. As you get better you learn to take advanced of those strategies.
    However, a new player does not have that pre-requisite knowledge of the strategies so they actually are playing completely random. If you are experienced in said game and rely on certain strategies in order to respond/defend/ or counter attack .. u are at an a deficit despise having more mechanicals skill and game time experience than the newer player. But my friend thinks I’m just giving him excuses haha

  • @1Fresh_Water
    @1Fresh_Water 7 ปีที่แล้ว +8

    I'm really bad at strategy games because I'm very reactionary. So I guess I could say I'm easily baited into doing things? I'd probably be terrible at poker lol.

    • @kaustuvprateeq6756
      @kaustuvprateeq6756 4 ปีที่แล้ว +5

      by your definition of reactionary, I am too but I am good at everything you stated (atleast in my availability biased knowledge). Just a little knowledge and retrospection will take you a long way.

  • @Vunomic
    @Vunomic 3 ปีที่แล้ว

    To add to the speaker, Modern day poker has evolved vastly. Before each hand starts, I have a baseline of what percentage of combinations of cards _(higher % is looser play, lower % is tighter play)_ will be _"optimal"_ for me to play my hand - as in entering the pot as the initial raiser.
    So typicallly, the closer you are to the big blind, you want to open and play your hands tighter - since there are more players left to act, and you have no idea the strength of their hands and looser play _(the closer to the button)_
    BUT from here on out is where most pros start having deviations and variations in poker regards to *_Game Theory Optimal_* or GTO for short.
    Like the speaker said, you want to mix it up or you will be destroyed. And it just so happens I am terrible in poker at mixing it up! Also like the speaker said, if I don't mix it up correctly, a highly skilled opponent will pick up the slightest pattern and counter my play. So you see, mixing it up can be a double edge sword, if your random acts are not really random, you just shot yourself in the foot.
    So being the terrible poker player I am, I do the opposite. *I mix it up by blending in as much as possible.* I find hand combinations that I group together and give them a specific line or a style _(only raise or fold these hands)_ and so on _(only call or check these hands)_
    Long story short, since I'm not genius enough to mix it up professionally, I play a type of poker game theory that *simplified.* So I'm defending from my opponent from having as little moves as possible, so in away, *_everything looks the same_* _(the poor man's version of mixing it up lol)_
    Hope that was interesting enough to read and a better grasp of modern poker theory.

  • @mathewhale3581
    @mathewhale3581 3 ปีที่แล้ว

    Reminds me of the time I beat a tennis player 6-4 in a one set game.
    I play squash, so can hit a ball, but did “everything wrong” (like underarm serves and wristy dropshots) and he failed to counter my unorthodoxy with his greater skill.
    No doubt he would have won if we had time for a full game.

  • @solbradguy7628
    @solbradguy7628 2 ปีที่แล้ว

    As a fighting game player I've seen this happen a lot. "I'm plus on block, nobody is dumb enough to press a button here so I'll do x y z" and lo and behold, they pressed a button. "No way he would DP on wakeup three times in a row, right?" Then you eat a DP and look like an idiot. There's really a different meta depending on the skill level of the opponent. You can't always rely on the opponent to make the optimal move. That's why I'll go for the wakeup super, just every now and then. I always say "You gotta show em you're a little bit crazy"

  • @johnnyparker9928
    @johnnyparker9928 หลายเดือนก่อน

    I'm gonna try this in my next golf game.

  • @edi9892
    @edi9892 3 ปีที่แล้ว +1

    I'd like to see practical examples of game theory.
    I'd be mostly interested in morally grey areas, but also things such as:
    You got all your friends and family in one place and built up a career and home, but the state gets worse and so does the economy. How would you determine if it's better to emigrate, despite the costs? You don't know how bad it will get and most only see it when it's too late...
    A related point would be, if the security situation worsens, but weapon laws are not in your favor, when would you go for illegal carry in case of criminals targeting you. (however, in that case, I think the prior point has been reached...)
    Similarly, one could argue, how long would you follow your orders, when you do not agree with them. Most say immediately, but I do know that this is far from the truth... This definitely is something that troubled my grandfather and I've been in a similar situation, albeit on a much smaller scale, as my former boss offered to help me, but demanded something illegal in turn...

  • @akbarkhan-nq3xl
    @akbarkhan-nq3xl 3 ปีที่แล้ว

    Can this be applied to stocks?

  • @vishwasrchonu7134
    @vishwasrchonu7134 10 หลายเดือนก่อน

    Precise👌🏻

  • @mushrifsaidin
    @mushrifsaidin 3 ปีที่แล้ว +5

    seeing the fox at the beginning reminded me of firefox...

    • @yoshikagekira7600
      @yoshikagekira7600 3 ปีที่แล้ว

      see, u knew how to think random even before starting the video. smartt😅

  • @user-hf2bp3qq8w
    @user-hf2bp3qq8w 6 ปีที่แล้ว

    Thanks

  • @jfabiani
    @jfabiani 7 ปีที่แล้ว +95

    Cooperation is superior to competition.

    • @homewall744
      @homewall744 7 ปีที่แล้ว +15

      As proven by collective farming and communism repeatedly....

    • @jfabiani
      @jfabiani 7 ปีที่แล้ว +36

      Did you grow your own food and pave your own roads?

    • @jessstuart7495
      @jessstuart7495 7 ปีที่แล้ว +25

      John Fabiani,
      How dare you question a fundamental assertion of capitalism!
      Some people have become so beaten down by life that they can't even think in win-win terms anymore; It's a sad state.

    • @minzblatt
      @minzblatt 7 ปีที่แล้ว +12

      Jess Stuart actually thats a Anglosaxon thing. in Europe collectivism is widely accepted, social states are valued

    • @MaggotDiggo1
      @MaggotDiggo1 7 ปีที่แล้ว +18

      What if both can be advantageous depending on the scenario? Crazy right? Maybe there's not a one size fits all approach to everything.

  • @GodzillaFreak
    @GodzillaFreak 6 ปีที่แล้ว +5

    looking at this as a Yugioh player. Outplaying your opponent does nothing, the game is over before you can even play, if you make a single misplay you just lost.

    • @Dman9fp
      @Dman9fp 3 ปีที่แล้ว +5

      Gotta just believe in the heart of the cards XD

    • @Jewish_Juggernaut
      @Jewish_Juggernaut 3 ปีที่แล้ว

      *_You fool! You just activated my trap card, this allows me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I will now begin my turn by activating Pots of Greed, which allows me to draw two more cards. I activate Pots of Greed, allowing me to draw two more cards. I now activate my trap card, dealing 4% of your maximum hp for each card I have drawn! I now draw my other trap card, nullifying all of your active cards, defenses, offenses, and neutral Switzerland cards you have activated, deactivated, or passive! I now draw my Seething Righteous Rage card, capping your total combined HP and armor and shields to remain at 100%, bypassing all other forms of defense, granting me 100% hit chance, stacking my damage to shatter the infinite time cortex continuum at every realm and dimension, and making me immune to all debuffs, hostile spells, and hostile spells under the guise of a benevolent spell or otherwise non-hostile spell! Omae Wa Mou Shindeiru!_*

  • @jasonroberts9788
    @jasonroberts9788 10 หลายเดือนก่อน

    The goal is for all players to consistently all choose Y. Doing so ensures no losses and only wins for everyone.

  • @goodlookingcorpse
    @goodlookingcorpse 6 ปีที่แล้ว +4

    This video seems to imply that 'Minimizing your maximum loss' and playing a random strategy are the same thing. But they're not. If you mimimize your maximum loss, there's usually one option you can choose for any given scenario. If you play a semi-random strategy, each scenario gives you several options, from which you choose randomly.

  • @JQAsCrustyNightSock
    @JQAsCrustyNightSock 3 ปีที่แล้ว +1

    Anton Chigurh knew what he was doing with that coin.

  • @kentam5361
    @kentam5361 11 หลายเดือนก่อน +1

    Observe the Zen teachings, Emptiness. Approach any situation with an open mind value free and deal with it as it developed.

  • @Archontasil
    @Archontasil 7 ปีที่แล้ว +6

    This is why deadpool is the strongest superhero

    • @tattoodrdoke
      @tattoodrdoke 3 ปีที่แล้ว

      And joker one of batman's worst nemesis

  • @mastervivek99
    @mastervivek99 4 ปีที่แล้ว +1

    An example where game theory can be applied - Stock market. It is a zero-sum game.

  • @OGgrinder
    @OGgrinder 3 ปีที่แล้ว

    Gto is crucial when playing poker

  • @importantname
    @importantname 7 ปีที่แล้ว +36

    Most things in life are not zero sum.

    • @Jcdlf7
      @Jcdlf7 6 ปีที่แล้ว +8

      any bets, video games or gambles are. the rest is just common sense and intuition.

    • @fleecemaster
      @fleecemaster 6 ปีที่แล้ว +1

      Look up the prisoners dilemma, that shows that even in non-zero sum games there can still be a winner or a loser.

    • @drippinwet774
      @drippinwet774 4 ปีที่แล้ว

      That depends on the purpose of the functions we are analyzing and those who implement these functions.
      OP's comment is another way of saying "the sky is blue most of the time"

    • @davepullin8572
      @davepullin8572 4 ปีที่แล้ว +2

      @@Jcdlf7 nope, Bets and gambles are negative sum games. (for the player). To the house they are positive games.

    • @betonitcso
      @betonitcso 4 ปีที่แล้ว

      presidential elections, team sports, and most of the competitive things in life can be zero sum, or at least a part of them

  • @William_Clinton_Muguai
    @William_Clinton_Muguai 3 หลายเดือนก่อน

    GAME THEORY: MINIMAX STRATEGY:
    In zero-sum games, adopt the strategy that 'minimizes my maximum loss'.

  • @JP-ry9ob
    @JP-ry9ob 3 ปีที่แล้ว

    Yep, always try and keep an ace up your sleeve.

  • @patrciaclemons8183
    @patrciaclemons8183 3 ปีที่แล้ว

    With all the how to videos I've watched over the past decade. I should be on top of the world, instead I'm still on the couch.

  • @bonkekunene5910
    @bonkekunene5910 3 ปีที่แล้ว

    Any good books on this?

  • @Mariomario-gt4oy
    @Mariomario-gt4oy 7 ปีที่แล้ว +3

    This is a very interesting video. Game theory is very interesting and applicable in every day life

  • @nebulousJames12345
    @nebulousJames12345 3 ปีที่แล้ว +2

    When i start losing an argument, i just attack their character. It works well

    • @HighLanderPonyYT
      @HighLanderPonyYT 3 ปีที่แล้ว

      Logical fallacy lolk

    • @Loctorak
      @Loctorak 3 ปีที่แล้ว +1

      Lol works well for whom? Everyone that isn't smart enough to see that you've lost the debate on rational grounds.
      It may feel like a check mate when you do it, but it's harder to think of a bigger white flag of surrender than regressing to 4th grade tactics during a discussion occurring in your mid 20s. In fact, the only way you could more clearly telegraph your own defeat would be to piss your pants on the spot. 😅

  • @rockstrong4342
    @rockstrong4342 2 ปีที่แล้ว

    The sophisticated and non-sophisticated opponents have different ranges of behavior and therefore the optimal strategy one should use is likely going to be different. Hand range is a foundational poker concept - all poker strategy is ultimately based on it.

  • @witmilk6527
    @witmilk6527 3 ปีที่แล้ว +1

    I once beat a guy with rock paper scizzors 4 times in a row
    I used scizzors the first time
    And the three times thereafter I told him every time I'd use scizzors again
    It worked
    Winning is all in the mind
    And I won that day

  • @thomaswayne1852
    @thomaswayne1852 6 ปีที่แล้ว +5

    Love the end. Can't outthink the dumb ^^

    • @brain0nfire
      @brain0nfire 6 ปีที่แล้ว

      Thomas Wayne Sure you can. You just have to know all the trees of possibilities and act accordingly. A noob can make random moves but if you always play against the strongest move you will end up exploiting any inferior counter moves. Only thing that can give noobs an edge is when luck plays as a factor, like drawing a poor dice roll or having a bad hand, then there is so much you can do. But on games like checkers or chess noobs are just obliterated since players usually recognize the underlying principles of how that move was, and where will it prove an hindrance if you correctly exploit it.

  • @sumerrana6805
    @sumerrana6805 3 ปีที่แล้ว

    *Persians attack Sparta
    Spartans: start dancing to Dirty Diana.
    Persians: Confused confusing confusion.
    *Game Theory Achieved

  • @deanpapadopoulos3314
    @deanpapadopoulos3314 3 ปีที่แล้ว

    It wasn’t terribly useful but this doesn’t mean it was useless. If you don’t have other theories and information on temperaments, for example, then ‘a little knowledge is very dangerous’. “When you’re opponent is not as intelligent as you...” You’ve already lost by employing the idiotic assumption that your adversary is less lucky, less experienced, etc than you are. This is my favorite opponent. No one is stupid except the person who thinks another person is stupid.

  • @Bill0102
    @Bill0102 ปีที่แล้ว

    Phenomenal writing. A book on this subject matter that I read was life-affirming. "Game Theory and the Pursuit of Algorithmic Fairness" by Jack Frostwell

  • @BebederoCR
    @BebederoCR 3 ปีที่แล้ว +3

    As a fighting game player this makes perfect sense

  • @Tazkar
    @Tazkar 3 ปีที่แล้ว

    People in games especially Video Games tend to be very predictable in how they'll react to certain events. Like I remember playing CoD 2 on a LAN with other people, one map had a spot I liked to snipe from the window of a building. I killed a few people but knew if I stayed where I was someone was going to come in the building and shoot me from behind for revenge.
    So after i killed someone again, I then simply went and crouched down in the corner of the room and waited. Sure enough a minute later someone ran into the room looking for me sniping, saw the window was vacant and assumed I'd left then they went to start sniping. And I shot them from behind and resumed sniping for a short while longer.
    Then I left the window again but instead of hiding in the room I went down the hall to a tiny room with no windows and hid there. Then waited until I heard footsteps come up the stairs and pass by, then I snuck down the hall and shot the person that had come looking for me again, except I wasn't hiding in the corner like they expected.
    People inherently look for patterns, if you can avoid having a super consistent pattern then it'll give you a leg up as an opponent won't be able to always predict what you are going to do.

  • @GreeceIsGVX
    @GreeceIsGVX 7 ปีที่แล้ว +4

    The game theory series is amazing

  • @abhimat
    @abhimat 6 ปีที่แล้ว +1

    I have had this strategy used against me by younger players in the game of chess

  • @TheGamingMotionTGM
    @TheGamingMotionTGM 3 ปีที่แล้ว

    The final mission scene where Tenpenny's going to shoot Carl after killing Big Smoke shows how useful game theory is.