Mixed Strategy Nash Equilibrium

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  • Опубликовано: 4 дек 2024

Комментарии • 65

  • @celiacperez-rosas9224
    @celiacperez-rosas9224 2 года назад +13

    phenomenal, you made a concept I couldn't understand for so long so clear and concise

    • @KatherineSilzCarson
      @KatherineSilzCarson  2 года назад +3

      Thank you, Celia for your comment and for watching my video. I am happy that you found it helpful!

  • @SuryanshGupta-x2t
    @SuryanshGupta-x2t 2 месяца назад +1

    I have my game theory midsem tomorrow and its absolutely graded rather than based on a curve. This helps me loads. Thank you so much!

    • @KatherineSilzCarson
      @KatherineSilzCarson  2 месяца назад +1

      I am glad this was helpful! Thank you for watching and good luck on your exam!

  • @parthnegi9041
    @parthnegi9041 4 года назад +9

    Explained it much better than my professor! Thank you very much!!

    • @KatherineSilzCarson
      @KatherineSilzCarson  4 года назад

      I am glad it was helpful! Thank you for watching!

    • @crosbybilly8907
      @crosbybilly8907 3 года назад

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      @adrieneverett9476 3 года назад

      @Crosby Billy Instablaster ;)

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      @crosbybilly8907 3 года назад

      @Adrien Everett it worked and I now got access to my account again. I'm so happy:D
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  • @hnt7961
    @hnt7961 3 года назад +5

    What the best useful video on Mixed Strategy and providing clear summary as to why we need to use Mixed Strategy Nash Equilibrium! Thumbs up.

  • @abdupathan5176
    @abdupathan5176 2 года назад +2

    I rarely subscribe to channels but this video was wayyy too helpful! It literally had EVERYTHING I needed and was explained super concisely. Thanks you!!!!!!

    • @KatherineSilzCarson
      @KatherineSilzCarson  2 года назад

      Thank you for the comment, Abdu, I'm glad it was helpful! Thank you for watching!

  • @cameronschyuder9034
    @cameronschyuder9034 3 года назад +2

    Oh my god
    Was having a mental breakdown over my homework assignment, you explained this perfectly!

  • @motivationaltalks3153
    @motivationaltalks3153 2 месяца назад +1

    ahhhh thankyuuu mam maza aagya padhai krke aapse

  • @docadhish
    @docadhish Год назад +1

    This explanation is gold. Thanks a lot ma'am!!

  • @seymagulnihalyildiz6488
    @seymagulnihalyildiz6488 8 месяцев назад +1

    Great content, thank you❤

  • @zhepingwang4954
    @zhepingwang4954 3 года назад +3

    this is an underrated channel. wonderful logic flow. subscribed!

    • @KatherineSilzCarson
      @KatherineSilzCarson  3 года назад

      Thank you for your comment, Zheping! And thank you for subscribing!

  • @britishaccent221b4
    @britishaccent221b4 3 года назад +2

    You just saved my day, thanks for great explanation

  • @juniorfaka1123
    @juniorfaka1123 4 месяца назад

    Just come on here to say thank you and subscribe. You explain the concept in a manner that's easy to follow and understand.

    • @KatherineSilzCarson
      @KatherineSilzCarson  3 месяца назад

      Thank you for the compliment - and thank you for watching!

  • @karkiroman
    @karkiroman 2 года назад +1

    Thank you 🙏, you are an amazing teacher!!

  • @MrGoofyCz
    @MrGoofyCz 3 года назад +1

    Great explanation! Saved me a lot of times and nerves. Thank you!

  • @shubhajitpaul5554
    @shubhajitpaul5554 2 года назад +1

    Thank you.. i am training to be an evolutionary biologist .. it helped me a lot

    • @KatherineSilzCarson
      @KatherineSilzCarson  2 года назад +1

      Thank you for watching! These ideas definitely have applications to your field. Good luck with your studies!

  • @oscarmartinelli9553
    @oscarmartinelli9553 3 года назад +2

    wonderfully explained finally I feel I've really understood the topic. Thanks!!

  • @albertludi6098
    @albertludi6098 3 года назад +1

    Thank you so much ❤❤

  • @LK-pw7fm
    @LK-pw7fm 2 года назад +1

    You're a life-saver =D

  • @nIcO1740NiCo
    @nIcO1740NiCo 2 года назад

    Thank you for the great vidéo! I think you just did a little typo fault at the last slide where 2q = 2 - 2q should be 3q = 2 - 2q. But that's just a detail, thanks for the clear explenation of the subject :)

  • @winstonlian839
    @winstonlian839 2 года назад +1

    that was excellent.

  • @danielkifletelila764
    @danielkifletelila764 2 года назад +1

    thanks for help

  • @shouryachettri9295
    @shouryachettri9295 Год назад +1

    Thank youu 🫶🏻

  • @irmabejdic9402
    @irmabejdic9402 Год назад +1

    Hi, the video is great. I am wondering how do you decide that for values of q>2/5 , player should play top and for q

    • @KatherineSilzCarson
      @KatherineSilzCarson  Год назад +1

      Hi Irma. We know this because when q < 2/5, (see 5:28 or so in the video), the red line is higher than the blue line, which means that player 1's expected payoff from bottom is greater than their expected payoff from top. When q > 2/5, the the blue line is above the red line, meaning that player 1's expected payoff from top is greater than their expected payoff from bottom. You find q = 2/5 by finding where the red line and the blue line cross. To do this, set 3q = 2(1-q) and solve for q. Hope this helps! Thank you for watching!

  • @nurbatrisyafathima9765
    @nurbatrisyafathima9765 3 года назад +2

    Hi Katherine, thank you so much for the video! Is it possible to create another video which shows how to find the mixed-strategy Nash Equilibrium for a 3-player game. I can share with you via email the question I'm struggling with.

    • @KatherineSilzCarson
      @KatherineSilzCarson  3 года назад

      I will add your request to the list - but I might not be able to get to that right away. Feel free to send me your question to my gmail: ksilzcarson@gmail.com.

    • @nurbatrisyafathima9765
      @nurbatrisyafathima9765 3 года назад

      @@KatherineSilzCarson Thank you, appreciate it!

  • @Elpicoolface1106
    @Elpicoolface1106 2 года назад +1

    how can you get the fraction? like how do you get 2/5 for player 1 and 3/5 for player 2?

    • @KatherineSilzCarson
      @KatherineSilzCarson  2 года назад

      The way that you get the fractions is to solve for the probabilities that make the other player indifferent between his/her pure strategies. The details are in the video.

  • @Karimotoo
    @Karimotoo 3 года назад +1

    thanks

  • @jdokk9
    @jdokk9 3 года назад

    Thanks for the explanation.
    So the Mixed strat NE would be written out as [(3/5,2/5),(2/5, 3/5)]?

    • @KatherineSilzCarson
      @KatherineSilzCarson  3 года назад

      I think how you would write out the equilibrium depends on the notation that your textbook/professor uses. There is no standard notation for this. Sorry I couldn't be of more help!

  • @xinnili3658
    @xinnili3658 3 года назад +2

    I wasted 75 minutes in class. Thank you!

  • @530subschallengeimtooclose4
    @530subschallengeimtooclose4 4 года назад +1

    Please may you explain to me the difference between the infinite one. It's shown here

    • @KatherineSilzCarson
      @KatherineSilzCarson  4 года назад +3

      There are a few differences. (1) the game I am using in the example is not a prisoner's dilemma game. Usually, it's called "Battle of the Sexes." (2) The one-shot prisoner's dilemma does not have a mixed strategy Nash equilibrium. Only a pure strategy equilibrium. In fact the strategy is a dominant strategy for each player. (3) The infinite prisoner's dilemma is a repeated game that goes on forever, not a one-time game. Thus, there are many more possible strategies for each player. The one that usually wins out in the infinitely repeated prisoner's dilemma is called "tit-for-tat" which means that each player chooses to cooperate as long as the other one also cooperates. As soon as one doesn't cooperate, the other exacts a punishment by not cooperating in the next round. Over many repeated plays, this strategy generally generates higher payoffs for a player. Hope this helps - these are really very different types of games.

  • @abcd-learning6085
    @abcd-learning6085 Год назад +1

    thanks