This video explains how to solve for the mixed strategy Nash equilibrium of a strategic game.
Жүктеу.....
Пікірлер: 59
@celiacperez-rosas9224 Жыл бұрын
phenomenal, you made a concept I couldn't understand for so long so clear and concise
@KatherineSilzCarson
Жыл бұрын
Thank you, Celia for your comment and for watching my video. I am happy that you found it helpful!
@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
2 жыл бұрын
Thank you for the comment, Abdu, I'm glad it was helpful! Thank you for watching!
@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
3 жыл бұрын
Thank you for the compliment - and thank you for watching!
@MrGoofyCz2 жыл бұрын
Great explanation! Saved me a lot of times and nerves. Thank you!
@KatherineSilzCarson
2 жыл бұрын
I am glad it was helpful, Matteo. Thank you for watching!
@zhepingwang49543 жыл бұрын
this is an underrated channel. wonderful logic flow. subscribed!
@KatherineSilzCarson
3 жыл бұрын
Thank you for your comment, Zheping! And thank you for subscribing!
@britishaccent221b43 жыл бұрын
You just saved my day, thanks for great explanation
@KatherineSilzCarson
3 жыл бұрын
Thank you! And thank you for watching!
@parthnegi90413 жыл бұрын
Explained it much better than my professor! Thank you very much!!
@KatherineSilzCarson
3 жыл бұрын
I am glad it was helpful! Thank you for watching!
@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
2 жыл бұрын
@Crosby Billy Instablaster ;)
@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
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
@cameronschyuder90342 жыл бұрын
Oh my god Was having a mental breakdown over my homework assignment, you explained this perfectly!
@KatherineSilzCarson
2 жыл бұрын
Glad I could be of help! Thank you for watching!
@karkiroman Жыл бұрын
Thank you 🙏, you are an amazing teacher!!
@KatherineSilzCarson
Жыл бұрын
Thank you for watching!
@seymagulnihalyildiz64884 ай бұрын
Great content, thank you❤
@KatherineSilzCarson
4 ай бұрын
Thank you for your comment and for watching!
@docadhish Жыл бұрын
This explanation is gold. Thanks a lot ma'am!!
@KatherineSilzCarson
Жыл бұрын
Thank you for watching! I am glad this was helpful!
@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 :)
@oscarmartinelli95533 жыл бұрын
wonderfully explained finally I feel I've really understood the topic. Thanks!!
@KatherineSilzCarson
3 жыл бұрын
Thank you for watching, Oscar!
@winstonlian8392 жыл бұрын
that was excellent.
@KatherineSilzCarson
2 жыл бұрын
Thank you, Winston! And thank you for watching!
@shubhajitpaul55542 жыл бұрын
Thank you.. i am training to be an evolutionary biologist .. it helped me a lot
@KatherineSilzCarson
2 жыл бұрын
Thank you for watching! These ideas definitely have applications to your field. Good luck with your studies!
@abcd-learning6085 Жыл бұрын
thanks
@LK-pw7fm2 жыл бұрын
You're a life-saver =D
@KatherineSilzCarson
2 жыл бұрын
Thank you for the comment - and thank you for watching!
@albertludi60982 жыл бұрын
Thank you so much ❤❤
@KatherineSilzCarson
2 жыл бұрын
Thank you for watching, Albert!
@danielkifletelila764 Жыл бұрын
thanks for help
@KatherineSilzCarson
Жыл бұрын
Thank you for watching, Daniel!
@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
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 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
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!
@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
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
3 жыл бұрын
@@KatherineSilzCarson Thank you, appreciate it!
@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
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.
@shouryachettri92958 ай бұрын
Thank youu 🫶🏻
@KatherineSilzCarson
7 ай бұрын
Thank you for watching!
@530subschallengeimtooclose43 жыл бұрын
Please may you explain to me the difference between the infinite one. It's shown here
@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.
Пікірлер: 59
phenomenal, you made a concept I couldn't understand for so long so clear and concise
@KatherineSilzCarson
Жыл бұрын
Thank you, Celia for your comment and for watching my video. I am happy that you found it helpful!
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
2 жыл бұрын
Thank you for the comment, Abdu, I'm glad it was helpful! Thank you for watching!
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
3 жыл бұрын
Thank you for the compliment - and thank you for watching!
Great explanation! Saved me a lot of times and nerves. Thank you!
@KatherineSilzCarson
2 жыл бұрын
I am glad it was helpful, Matteo. Thank you for watching!
this is an underrated channel. wonderful logic flow. subscribed!
@KatherineSilzCarson
3 жыл бұрын
Thank you for your comment, Zheping! And thank you for subscribing!
You just saved my day, thanks for great explanation
@KatherineSilzCarson
3 жыл бұрын
Thank you! And thank you for watching!
Explained it much better than my professor! Thank you very much!!
@KatherineSilzCarson
3 жыл бұрын
I am glad it was helpful! Thank you for watching!
@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
2 жыл бұрын
@Crosby Billy Instablaster ;)
@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
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
Oh my god Was having a mental breakdown over my homework assignment, you explained this perfectly!
@KatherineSilzCarson
2 жыл бұрын
Glad I could be of help! Thank you for watching!
Thank you 🙏, you are an amazing teacher!!
@KatherineSilzCarson
Жыл бұрын
Thank you for watching!
Great content, thank you❤
@KatherineSilzCarson
4 ай бұрын
Thank you for your comment and for watching!
This explanation is gold. Thanks a lot ma'am!!
@KatherineSilzCarson
Жыл бұрын
Thank you for watching! I am glad this was helpful!
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 :)
wonderfully explained finally I feel I've really understood the topic. Thanks!!
@KatherineSilzCarson
3 жыл бұрын
Thank you for watching, Oscar!
that was excellent.
@KatherineSilzCarson
2 жыл бұрын
Thank you, Winston! And thank you for watching!
Thank you.. i am training to be an evolutionary biologist .. it helped me a lot
@KatherineSilzCarson
2 жыл бұрын
Thank you for watching! These ideas definitely have applications to your field. Good luck with your studies!
thanks
You're a life-saver =D
@KatherineSilzCarson
2 жыл бұрын
Thank you for the comment - and thank you for watching!
Thank you so much ❤❤
@KatherineSilzCarson
2 жыл бұрын
Thank you for watching, Albert!
thanks for help
@KatherineSilzCarson
Жыл бұрын
Thank you for watching, Daniel!
Thanks for the explanation. So the Mixed strat NE would be written out as [(3/5,2/5),(2/5, 3/5)]?
@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!
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
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!
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
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
3 жыл бұрын
@@KatherineSilzCarson Thank you, appreciate it!
how can you get the fraction? like how do you get 2/5 for player 1 and 3/5 for player 2?
@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.
Thank youu 🫶🏻
@KatherineSilzCarson
7 ай бұрын
Thank you for watching!
Please may you explain to me the difference between the infinite one. It's shown here
@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.
I wasted 75 minutes in class. Thank you!
@KatherineSilzCarson
2 жыл бұрын
Thank you for watching!
thanks
@KatherineSilzCarson
3 жыл бұрын
Thank you for watching!