00:01
So here we're talking nash equilibrium.
00:02
And that immediately begs the question of what the heck is a nash equilibrium and what the heck is a dominant strategy, right? so a dominant strategy is one that is always best, right? strategy is always best, regardless of opponent's choice, opponent choice, right? so it doesn't matter what your opponent is going to play, you're always going to play the same thing, right? so let's first of all look at, we have a and we have b and a has, b has three choices, right? left, center and right.
00:46
A also has these choices of left, center and right.
00:52
And let's start by just looking at a's payoffs, right? so a's payoffs are one, two, three, six, four, five, and three, five, four.
01:08
And look across in the rows, right? so a, if b plays left, let's imagine that b plays left, then a would like to play right.
01:19
If b plays center, a would like to play left.
01:22
And if b plays right, a would like to play center.
01:25
So the conclusion in here is there is no dominant strategy for a.
01:32
To get a dominant strategy for a, we'd need a row, a strategy, left, center, right, up, sorry, these are actually up, mid, and down for a...