Three business partners (A, B, C) have to vote if they want to move forward with a plan that would require them to pay three million euros for their company's development. If only one of them votes to go forward no one gets anything. If two of them vote to move forward then all three of them will each earn eight million in return because of the investment made. So if A only decides to move forward, A's payoff is going to be minus three million where B and C have a 0 payoff.

a) Write the game in the strategic form including strategies for players and payoffs and find all n equilibria in pure strategies

b) If A and B use the same mixed strategy, with probability p, what is C's payoff if C decided to move forward?

c) Find the symmetric mixed strategy Nash equilibria of the game