Avery, James, and Blake have been selected by their boss to work together in a project. Each of them needs to determine whether to work on Sunday or not. If the three individuals work on Sunday, each of them receives a payoff of 8. If only two work on Sunday and one does not work, the people that work on Sunday receive a payoff of 6 while the person that does not work receives a payoff of 9. If only one person works on Sunday and the other two do not work, the one that works receives a payoff of 4 and those that do not work receive a payoff of 7. If no one work on Sunday, they all receive a payoff of 5.

a. What is the Pure Strategy Nash Equilibrium of this game?

b. Draw the payoff matrix and clearly show your answer on the response sheet.

c. Why did you choose your answer?