How to find DOMINATING STRATEGIES with Game Theory

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  • เผยแพร่เมื่อ 5 ต.ค. 2024

ความคิดเห็น • 35

  • @Salien1999
    @Salien1999 ปีที่แล้ว +3

    The economics example touches on something I realized in college when trying to use decision matrices. The way you evaluate each possible decision drastically affects which decision is "best."
    For example, in the video you suppose that each firm is trying to maximize the money they get, leading to Firm 1 choosing not to advertise and then to Firm 2 choosing to advertise.
    Suppose that the two firms are each others' only competitors and that they're trying to knock each other out, though. In that case, they might try to maximize the *difference* between their own profits and the other firm's profits. If this is how they evaluate each option, then each firm should choose to advertise, which ironically minimizes the profits of each firm.
    And that isn't even getting into the different strategies of minimizing the worst case scenario vs maximizing the best case scenario vs maximizing the average scenario. This is why I find game theory and decision-making theory so fascinating.

  • @airsquid8532
    @airsquid8532 3 ปีที่แล้ว +10

    I love the math side of seemingly simple games

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +3

      It can be so cool!

  • @MrFriday999
    @MrFriday999 3 ปีที่แล้ว +14

    Game theory seems like when psychology meets maths!

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +4

      There definitely is lot of overlap!

    • @crimfan
      @crimfan 3 ปีที่แล้ว

      @@DrTrefor Game theory has ebbed and flowed in psychology. It was pretty big for a while but I think at the moment it's not, but I suspect it'll be back sometime. Obviously it's a big topic in economics. Political science was very heavily into game theory for a while but I think it's not so dominant anymore, with a lot of the research having been taken over by things like field experiments. Biologists doing genetics also use it a lot.

    • @crimfan
      @crimfan 3 ปีที่แล้ว

      @Geoffry Gifari That's true, though stable equilibria tend to "reassert" themselves in repeated play with randomness. For example in the Prisoner's dilemma (confess, confess) is the stable equilibrium while (deny, deny) is an unstable equilibrium. There are some connections to classification of attractors in differential equations.
      A whole class of games known as coordination games have multiple equilibria. The sushi vs. Thai game is an example of one of those. These can get really counterintuitive and have been used to model things like industry lock in.

    • @Niglnws
      @Niglnws ปีที่แล้ว

      Yeah it is when humans meet each other. Either trust each others for better mutual benefits or dont trust each other and each care about their self interests and assume that the other do the same and assume that that is dangerous to them and conflicts begin.
      Thinking in this way help in preventing nuclear wars as each one do not want to be attacked so they declare that they will not attack as attack leads to being attacked.

  • @nicomagrini7087
    @nicomagrini7087 3 ปีที่แล้ว +4

    Thanks, I have been waiting patiently. Great video 🙌

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +2

      Glad you enjoyed!

  • @abdullahfaisal4389
    @abdullahfaisal4389 3 ปีที่แล้ว +4

    Finally!!
    After half a month of tantalizing....

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      haha they come slowly but hopefully deliver:D

  • @xxxx015
    @xxxx015 3 ปีที่แล้ว +4

    U got my Brian to work again after a lot of cringe TH-cam shorts thank you

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      hahaha:D

    • @bdan19921
      @bdan19921 หลายเดือนก่อน

      Glad brian is no longer unemployed

  • @SK_1337
    @SK_1337 3 ปีที่แล้ว +4

    Great work!

  • @bokaadoxo3481
    @bokaadoxo3481 ปีที่แล้ว

    I paid money for a Coursera course on Game Theory and here I am learning more for free on youtube.

  • @aashsyed1277
    @aashsyed1277 3 ปีที่แล้ว +2

    this is an awesome video, awesome work!

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      Thank you!

  • @MarZandvliet
    @MarZandvliet 3 ปีที่แล้ว +2

    Firm 1 could easily get tired of (7,13) and start advertising to force a mutually undesirable (6,6) until firm 2 stops advertising. They could be like: "We'll stop this madness as soon as you stop this madness". The question becomes: which firm will go bust first at a revenue of 6.
    This assumes many turns played with the same payoff matrix, of course. This was fun! :)

    • @crimfan
      @crimfan 3 ปีที่แล้ว

      Repeated games can really change the way things go with players choosing to punish. There was a big repeated Prisoner's dilemma tournament in the '70s published in Omni magazine about this very issue.
      en.wikipedia.org/wiki/Prisoner's_dilemma#The_iterated_prisoner's_dilemma
      Firms could also collude with the one that would have gotten 16 choosing to pay off the other firm. There's a whole area of game theory that deals with bargaining, as you might expect.

  • @yogeshkumarkc2204
    @yogeshkumarkc2204 3 ปีที่แล้ว +2

    Enjoying the videos! Love from India
    Q : What book do you recommend to read that will go along with these videos??

  • @ariftans4593
    @ariftans4593 3 ปีที่แล้ว +1

    Quality content

  • @jishnup1205
    @jishnup1205 2 ปีที่แล้ว

    Thank you 💖

  • @StaticBlaster
    @StaticBlaster 3 ปีที่แล้ว +1

    Firm 1 should not advertise even though you might not know what firm 2 is going to do. If you do advertise, and if firm 2 decides to advertise that will be the worst case scenario. So not advertising is the dominating strategy.

  • @wjrasmussen666
    @wjrasmussen666 11 หลายเดือนก่อน

    Rock flies straight through paper

  • @meunomejaestavaemuso
    @meunomejaestavaemuso 2 ปีที่แล้ว

    Firm 1 should not advertise which would make firm 2 advertising, but them firm 1 could advertise and thus hurting firm 2 and forcing it to stop advertising (it would get 7 instead of the 6). Then firm 1 could stop advertising thus getting 16. Which would make firm 2 want to advertise. So in the long run they would be cycling clockwise in the diagram.

  • @OBGynKenobi
    @OBGynKenobi 2 ปีที่แล้ว +1

    I wonder, do you apply these theories when you're out, let's say, buying a car, or negotiating something?

    • @DrTrefor
      @DrTrefor  2 ปีที่แล้ว +1

      Yup. To a degree, at least. For instance, it guides the intuition that you should be walking away from a deal a percentage of the time in line with mixed mash equilibrium.

  • @stefenleung
    @stefenleung 2 ปีที่แล้ว

    except in reality it's always the bigger phone companies put more on the advertisement. i'm not saying the math is wrong, it's the assumption, the payoff are wrong. money isn't all of the payoff. building a brand name, hurting the competitors, etc are also part of the payoff.

  • @danicarovo8818
    @danicarovo8818 2 ปีที่แล้ว +1

    looking at this thumbnail i thought this was going to be another one of those alpha male videos lol

    • @DrTrefor
      @DrTrefor  2 ปีที่แล้ว +2

      Lol I really am NOT that type of channel:D

    • @danicarovo8818
      @danicarovo8818 2 ปีที่แล้ว

      @@DrTrefor haha i figured, got here studying game theory:D