|Game Theory Series|
The payoff matrix is as follows:
Swerve Continue Straight Swerve 0, 0 -1, +1 Continue Straight +1, -1 -2, -2
(This set up implies two players are merely walking towards each other; if they were, say, driving, the Continue Straight/Continue Straight choice would constitute a much higher negative payoff. While these differences in payoffs matter for calculating mixed strategy Nash equilibrium, only order matters for regular Nash equilibrium)
The NE in this scenario are Continue Straight/Swerve and Swerve/Continue Straight.