Mixed Strategies Nash Equilibrium: The Math

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This video walks through the math of solving for mixed strategies Nash Equilibrium. Two other sister videos to this are:
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Literally the best explanation of the math portion on youtube, thanks so much!

booly
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Thank you so much, I had my test today and this video helped me tremendously and saved me lots of reading through a hard to make out book.

Rupcoris
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this helped but how in the world are you gonna put "right" on the left and "left" on the right

MartyAuer
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I did not understand anything about this topic in my class, but you saved my life. Keep doing videos for us, plz.

keo_
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i see you more often than my parents at this point

red_autumn
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You've given a more intuitive explanation than my professor, thanks for helping!

SatyamSingh-vnwz
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what can you do when you the p's in the equation cancel each other out. leaving you with no final probability. does this signal a pure strategy as only option. or does this just mean i made a mistake

hiddecroes
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I would like to watch your videos on the subject of behavioral game theory. I'm actually considering a thesis in that area.

mariohanzek
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BRAVA ASHLEY, MOLTO PIU SEMPLICE DI QUELLO CHE HO IMPARATO ALL'UNIVERSITà. GRAZIE.

lucarondon
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For player 2, why is R meaning Right on the left side?

esl_item
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Very nice explanation, but I am having a hard time to generalize it. Suppose each player has 3 choices: L(left), C(enter) and R(ight). With the same idea you get a linear system of 3 equations for unknowns {pL, pC, pR}. If its solutions is valid because all values are in [0, 1], perfect. But what do you do otherwise? For instance, if you find the solution of the system be pL=-0.4, pC=0.1 and pR=1.3. They add up to 1.0, but they are not right. I am guessing the equilibrium point is somehow in the frontier, a few of these probabilities will be 0 and the associated strategy can be ignored. But how do you calculate this? Moreover, what happens if the players have a different number of choices? Then I am getting too many equations, or too few.

zeycus
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You're a great teacher thanks so much

brian
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Best mixed strategies video I have come across ❤

lawrencejrnjobvu
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Aslo what if it was coordination game, and X greater than 0 is the bias of player 1 to play left

esraaelfatih
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Would you then say that a mixed strategies equilibrium is a general solution and the standard Nash equilibrium is a specific solution? In other words, will these calculations work for all 2x2 payoff boxes?

bettersaynow
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This is very good I have seen many videos by far the best explanation

lashau
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great video but having both players going either right or left makes it a bit confusing, should've given one of the players the option of going up or down

CJ-jypd
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amazing explanation... thank you so much

Angel.cutie
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What is your accent - Canadian/Minnesota???

ee
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Please please tell how to find pure strategy Nash equilibrium

nimra
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