Consider the simultaneous, one$-$shot game described below. It represents a scenario referred

to as "playing chicken" in which the two players are driving their vehicles directly at the other

person and choosing between chicken $($C$)$ and don't play chicken $($D$).$ Playing chicken means

the player swerves out of the way of the other player, don't play chicken means they continue

driving straight. The payoffs are utility levels and information is perfect. Use it to answer

the proceeding questions.

$($a$)$ Determine if there are any dominant and$/$or mixed strategies for each player.

$($b$)$ What is$/$are the Nash Equilibrium$/$Equilibria of this game? Explain.

$($c$)$ Is there a potential collusive agreement? Explain and state whether this outcome is

likely given the scenario described.