Game Theory 101: Battle of the Sexes

Game Theory 101: The Complete Textbook on Amazon: www.amazon.com...
gametheory101.c...
This lecture solves the battle of the sexes (sometimes called Bach or Stravinsky), one of the most common strategic form games in game theory.

[@OnAFirefly]

Good work. I like these slightly longer videos--5 to 10 minutes instead of 2 to 5; I think that helps in understanding the broader context of the individual topics

[@Gametheory101]

@OnAFirefly I'm not sure which I like better or if I simply need both. =/

[@tongliu5755]

"if you really want to go to the sexist, you can believe that the women go to the fight and men go to the ballet" lol

[@Gametheory101]

@GelatinGhost If you flipped a coin, my best response would be to always go to my preferred form of entertainment. You can do some quick calculations to verify this.

[@balancedscorecard79]

@JimBobJenkins When he said flipping the coin he meant that both players commit to play according to what the coin toss shows. If they are to do whatever they prefer better not toss the coin at all. Tossing the coin (with comittment) provides a correlating device which strictly increases the payoffs like GelatinGhost correctly has observed.

[@andriheimoz]

Wow! Great job, i had to do a presentation in class and you explained it very well!!!

[@Gametheory101]

It looks right. There are slight (but important) differences.

[@OnAFirefly]

@JimBobJenkins There's likely a niche for the shorter ones the same as the longer one. So it's probably not such a bad idea to keep both around.

[@Pleinciel]

The explication would be more clear if you worked with the following values for the respective pay-offs: 8;4 - 3;3 2;2 - 4;8 Because it would permit to see that the calculation for the woman is on the vertical axe.

[@balancedscorecard79]

@GelatinGhost Man ... If you came with the idea of flipping a coin by yourselfthen you are a pure genius ... because it means you understand correlated equilibrium intuitively (flipping a coin is a so called correlated equilibrium mechanism)

[@jessn.4807]

the point is not, that the man wants to go to the fight but rather, that their preferences seem to have something to do with their genitalia (as implied by the title) ;)

[@GelatinGhost]

Wouldn't the best strategy be to flip a coin? If they both flip a coin, the expected payout is 3/4, as opposed to 2/3.

[@jonathanlowe6640]

The highest payout is if they cooperate. Flipping a coin offers a higher expected payout than the mixed strategy NE, but it is not a mixed strategy NE - both players have an incentive to change their strategy assuming the other players strategy is fixed: i.e. flipping a coin. For example, if P1 flips a coin, P2 can always pick ballet - resulting in an increased payoff 0.5 * 2 = 1, compared to 0.75.

[@phillyolly]

Don't you have a typo at 3.22-3.34? The formula is left unchanged.

[@OMGitsjesusproof]

shouldn't the matrix account for the man being less disappointed to be alone at the fight than the woman, and the woman being less disappointed to be alone at the ballet than the man?

[@Sohailquyyom8180]

tell me here 0 1 and 2 what represent that man happy real happy whatever???????????? plz tell me soon

[@Joaking91]

awais anwar it represents the reward. Each player wants to get the highest number possible

[@GelatinGhost]

@balancedscorecard79 Heh, wow, you're right: I just now googled "correlated equilibrium coin flip" and it brought me to the wikipedia page for battle of the sexes, in which it described using a coin flip as an optimal strategy and an instance of correlated equilibrium. Thanks a lot for the compliment btw, that's a real self-esteem booster right there ;)

[@vogelszijnlelijk]

They have no means of communication.

[@vogelszijnlelijk]

Isn't there a fifith option where they both go to their preferred activity, but not together?