Mixed Strategy Nash Equilibrium

This video explains how to solve for the mixed strategy Nash equilibrium of a strategic game.

Пікірлер: 59

  • @celiacperez-rosas9224
    @celiacperez-rosas9224 Жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    Жыл бұрын

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

  • @abdupathan5176
    @abdupathan51762 жыл бұрын

    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 жыл бұрын

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

  • @hnt7961
    @hnt79613 жыл бұрын

    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.

  • @KatherineSilzCarson

    @KatherineSilzCarson

    3 жыл бұрын

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

  • @MrGoofyCz
    @MrGoofyCz2 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

    I am glad it was helpful, Matteo. Thank you for watching!

  • @zhepingwang4954
    @zhepingwang49543 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    3 жыл бұрын

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

  • @britishaccent221b4
    @britishaccent221b43 жыл бұрын

    You just saved my day, thanks for great explanation

  • @KatherineSilzCarson

    @KatherineSilzCarson

    3 жыл бұрын

    Thank you! And thank you for watching!

  • @parthnegi9041
    @parthnegi90413 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    3 жыл бұрын

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

  • @crosbybilly8907

    @crosbybilly8907

    2 жыл бұрын

    sorry to be so off topic but does someone know of a method to log back into an instagram account? I stupidly forgot my login password. I appreciate any help you can offer me

  • @adrieneverett9476

    @adrieneverett9476

    2 жыл бұрын

    @Crosby Billy Instablaster ;)

  • @crosbybilly8907

    @crosbybilly8907

    2 жыл бұрын

    @Adrien Everett Thanks for your reply. I got to the site on google and im in the hacking process atm. I see it takes quite some time so I will get back to you later with my results.

  • @crosbybilly8907

    @crosbybilly8907

    2 жыл бұрын

    @Adrien Everett it worked and I now got access to my account again. I'm so happy:D Thanks so much you saved my ass :D

  • @cameronschyuder9034
    @cameronschyuder90342 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

    Glad I could be of help! Thank you for watching!

  • @karkiroman
    @karkiroman Жыл бұрын

    Thank you 🙏, you are an amazing teacher!!

  • @KatherineSilzCarson

    @KatherineSilzCarson

    Жыл бұрын

    Thank you for watching!

  • @seymagulnihalyildiz6488
    @seymagulnihalyildiz64884 ай бұрын

    Great content, thank you❤

  • @KatherineSilzCarson

    @KatherineSilzCarson

    4 ай бұрын

    Thank you for your comment and for watching!

  • @docadhish
    @docadhish Жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    Жыл бұрын

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

  • @nIcO1740NiCo
    @nIcO1740NiCo Жыл бұрын

    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 :)

  • @oscarmartinelli9553
    @oscarmartinelli95533 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    3 жыл бұрын

    Thank you for watching, Oscar!

  • @winstonlian839
    @winstonlian8392 жыл бұрын

    that was excellent.

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

    Thank you, Winston! And thank you for watching!

  • @shubhajitpaul5554
    @shubhajitpaul55542 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

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

  • @abcd-learning6085
    @abcd-learning6085 Жыл бұрын

    thanks

  • @LK-pw7fm
    @LK-pw7fm2 жыл бұрын

    You're a life-saver =D

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

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

  • @albertludi6098
    @albertludi60982 жыл бұрын

    Thank you so much ❤❤

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

    Thank you for watching, Albert!

  • @danielkifletelila764
    @danielkifletelila764 Жыл бұрын

    thanks for help

  • @KatherineSilzCarson

    @KatherineSilzCarson

    Жыл бұрын

    Thank you for watching, Daniel!

  • @jdokk9
    @jdokk92 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

    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!

  • @irmabejdic9402
    @irmabejdic9402 Жыл бұрын

    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

    Жыл бұрын

    Hi Irma. We know this because 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
    @nurbatrisyafathima97653 жыл бұрын

    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 жыл бұрын

    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 жыл бұрын

    @@KatherineSilzCarson Thank you, appreciate it!

  • @Elpicoolface1106
    @Elpicoolface11062 жыл бұрын

    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 жыл бұрын

    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.

  • @shouryachettri9295
    @shouryachettri92958 ай бұрын

    Thank youu 🫶🏻

  • @KatherineSilzCarson

    @KatherineSilzCarson

    7 ай бұрын

    Thank you for watching!

  • @530subschallengeimtooclose4
    @530subschallengeimtooclose43 жыл бұрын

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

  • @KatherineSilzCarson

    @KatherineSilzCarson

    3 жыл бұрын

    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.

  • @xinnili3658
    @xinnili36582 жыл бұрын

    I wasted 75 minutes in class. Thank you!

  • @KatherineSilzCarson

    @KatherineSilzCarson

    2 жыл бұрын

    Thank you for watching!

  • @Karimotoo
    @Karimotoo3 жыл бұрын

    thanks

  • @KatherineSilzCarson

    @KatherineSilzCarson

    3 жыл бұрын

    Thank you for watching!