1. The game of Chicken is played by two teens who speed toward each other on a single-lane road. The first to veer off is branded the chicken, whereas the one who does not veer gains peer-group esteem. Of course, if neither veers, both die in the resulting crash. Payoffs to the Chicken game are provided in the following table.

Teen 2

Veer Does not veer

Teen 1

Veer 2,2 1,2

Does not veer 3,1 0,0

The first payoff number is for Teen 1 and the second number is for Teen 2.

a) Does any of the players has a dominant strategy?

b) Find the pure-strategy Nash equilibrium or equilibria.

c) Suppose the game is played sequentially. Find the Nash equilibrium.