Consider the game of driving between two cars captures by three strategies: drive left, drive right, drive zig$-$zag, the payoff for each strategy is listed in the matrix below:

Car Payoff Matrix

Car $2$

Car $1$ Drive Left Drive Right Drive Zig$-$Zag

Drive Left $4,02,13,2$

Drive Right $2,23,40,1$

Drive Zig$-$Zag $2,31,20,3$

Questions:

Find the Dominant strategies for both cars.

Find the Nash Equilibrium.