Mixed Strategies Nash Equilibrium: Intuition

Поделиться
HTML-код
  • Опубликовано: 3 дек 2024

Комментарии • 21

  • @manuelvilasfernandez7262
    @manuelvilasfernandez7262 Год назад +3

    Hi Ashley, thanks for your enlightening videos. I have an observation. In the other videos solving the same problem solution is p=2/3; q=3/7.

  • @zickzack8149
    @zickzack8149 Год назад +5

    This is super interesting. As you mention, it seems really strange though that your own payoff is not taken into account! Trying to wrestle with that for a game I play somewhat regularly

  • @AClassOldie
    @AClassOldie 8 месяцев назад

    Madam, you are amazing. Thank you for this.

  • @Data_Devil_
    @Data_Devil_ 2 года назад +1

    u ar lovely and ur teaching is love, i wish my ecomics teacher are as understandable as you....

  • @deepak-ly3ob
    @deepak-ly3ob 10 месяцев назад

    Extremely interesting lecture with the good explanation. Thanks ma'am.

  • @danielx40
    @danielx40 9 месяцев назад +1

    So basically unless you choose a certain point on the spectrum, as to how much percentage you choose one over the other, the opponent can always choose one move and stick to that one move only, to maximize his win and minimize yours. The more extreme the percentage of our choice is, away from the balance point, the more the opponent can stick with the counter move. The closer to the balance point, the less the opponent can take advantage of by just sticking with one move. At the center point, regardless of what move he stick to, the damage to you is the same. Any other point, will lead the opponent to damage you more. Wow… I was watching a course on Wondrium (The Great Courses) and was so freaking confused. I love the explanation here much better. The college professor other there didn’t even take the time to explain why the 50/50 point for the opponent is the best for us.

  • @shlomozerbib388
    @shlomozerbib388 2 года назад

    Excellent video. Mixing games theory and probabilities is amazing.

  • @edwardgonzalez6331
    @edwardgonzalez6331 2 года назад

    This is really cool. I am really looking forward to the next video.

  • @s.kmusica4166
    @s.kmusica4166 2 года назад

    I was literally in need of this vedio. Thank you ❤️ mam

  • @wiktorias58
    @wiktorias58 Год назад

    Now I understand, thank you for the clear explanation :)

  • @Ccchuan-ke9oh
    @Ccchuan-ke9oh Год назад +2

    hi, isn't p equal to 2/3 instead of 3/7

  • @joshhamilton7965
    @joshhamilton7965 5 месяцев назад

    Is there any psychological studies, where human agents will overshoot their next strategy in response to the poor pay-off of the previous strategy? For example If Player 1 keeps going left, will they likely and consistently overshoot to the right in response? Or is this dependent on the individual and context of the game?

  • @tomthefall
    @tomthefall 2 года назад

    very nice explanation, thanks a lot

  • @Data_Devil_
    @Data_Devil_ 2 года назад

    Plz upload a vedio on repeated games.....urgently needed

  • @ramazaniddy4231
    @ramazaniddy4231 Год назад

    how do you get 3/7

  • @shlomozerbib388
    @shlomozerbib388 2 года назад

    I m waiting for the 3/7 demonstration it could be very instructive

    • @AshleyHodgson
      @AshleyHodgson  2 года назад +1

      My hope is to have it up for next week.

  • @laughinginthe90s
    @laughinginthe90s 2 года назад +1

    This assumes a random distribution between options, however in lots of adversarial games (for instance like a pitcher+catcher choosing pitches, versus a batter sitting on certain options) the sequences are rarely uniformly random.
    Is there any way to exploit human pattern recognition/psychology to change the sequence of choices in order to maximize favorable outcomes? In a lot of cases you are playing against someone trying to maximize value rather than being truly unexploitable
    For example, if p1 goes l,l,l,l,... How many times before p2 perceives an opportunity to adjusts strategy for optimal exploitation?

  • @LucaRossi-n3r
    @LucaRossi-n3r Год назад

    Thank you for your very clear explanation. But there is one thing that I do not understand. Here you say that p =3/7 but here ruclips.net/video/S49oKtISkqI/видео.html instead is p=2/3. Am I missing something ? Thank you

    • @patrickreilly3124
      @patrickreilly3124 9 месяцев назад

      The optimal value for p should be 2/3. A little mistake made by Professor Hodgson. Just replace the 3/7 with 2/3. 2/3 will be the optimal value for q. However, the important part of this video is the logic and the intuition provided, which is excellent!

  • @BurmaSprauve
    @BurmaSprauve 5 месяцев назад

    I think p=2/3 not 3/7