00:01
So what is a nash equilibrium? a nash equilibrium is a game outcome where neither player has any incentive to change their behavior, right? that's what we mean by equilibrium.
00:20
It's stable, right? if nobody wants to change their behavior, then we consider that a stable outcome.
00:27
However, if people have reasons or incentives or payoffs to changing their behavior, then it's not a stable outcome, right? and so my answer here is actually a, right? my answer is actually a.
00:40
This is saying both players play their best response, their best response, right? that's the correct answer, right? if both players ' best responses coincide, then at that cell where both players are playing their best response, right, if both best response, br, no reason to change, right? the best response means that you're doing the best you can.
01:17
So if both players are playing their best response, then neither of them will want to change their behavior.
01:23
And that cell with two check marks is gonna contain both players ' best response.
01:28
They both don't wanna change from that behavior.
01:31
So the rest of them sort of have to be wrong, right? b, no check marks.
01:40
It means that neither person is playing well.
01:47
And if neither person is playing well, there's an incentive for them to change their behavior, right? the best response is your best strategy...