Jules, Becca Evan and seth are thinking of applying to law school. Jules has taken all of the necessary courses and her cost to apply is $100. Becca and Evan will need to take one additional course before applying and it would cost them each $800 to apply. Seth will need to take two courses before applying and his cost to apply is 1500. The law school has a quota on how many students they will admit. Thus, each students benefit from applying falls as more students apply.

# of students benefit from applying

1 $2000

2 $1000

3 $500

4 $200

If a student decides to apply, the students payoff in the game = the benefit from applying minus the cost of applying. For ex, if Jules and Becca decide to apply but Seth and Evan do not then Jules payoff will be $1000-100 = 900 and Beccas = 1000-800 = 200. Student who dont apply receive a payoff of $0.

a) Find all of the Nash Equilibria of this game. You have to check for pure and mixed strategy Nash Equilibria