Game Theory 101 (#28): Generalized Battle of the Sexes

How do we solve a game that has variable payoffs rather than specific numerical values? This lecture looks at the generalized form of battle of the sexes for an example. We also go over how to solve for mixed strategy Nash equilibria step-by-step, which is tricky when you do not have numbers to work with.

Game Theory 101: The Complete Textbook has a bunch of examples of this in section 3.2. Since these types of games can be difficult, I suggest you go through the examples in the book on your own.

[PunmasterSTP]

Generalized? More like you’ve “opened my eyes”, by sharing all of your knowledge on game theory! Thanks again for all these amazing videos.

[JeebusCripes]

Not sure if you still check these comments, but I just wanted to thank you for your great work! I'm a PhD economics student at University of Buffalo (and I'm actually from Rochester, so if you're still there I will be sure to say hi if I ever see you out and about), and these videos have actually been able to effectively teach me an entire semester's worth of Micro Theory 2 in far less time. I will be coming back to these videos when I study for prelims!

[jroosterman]

This is quite an interesting series.

[Gametheory]

I actually gave a talk at Buffalo earlier this year. (Poli sci, not econ, ) Been there a couple of times so far. Nice place, though I question the usefulness of the solar panels.

[KozzmoKnight]

This sort of answers my question, I'm working my way through the text book, and some math on the side, trying to figure this all out. The random variable is determining values. Breaking it into undetermined variables, that would have to be the key. For instance, if I were to make a sample problem, lets take the Kaepernick debate. Most people would agree that shooting innocent people is bad. By kneeling during the anthem. he brings attention to the matter, but it also brings negative attention. How do we determine the value of each action? To kneel, or not to kneel? That is the question....

[jevylee]

hi do you know how to solve the battle of sex by using nash bargain solution?