In an isolated town two pizza shops open. Their owners Mario and Luigi are deciding what price to set on the menu. Before the opening night of both stores, they discuss their pricing and work out that a price of $15 is going to bring the greatest benefit to them. Both know that there are 100 potential customers on any given night and that if they decrease their price to $14 then everyone would buy from their shop. Pizza's cost $10 to produce.

a) Draw the payoff matrix of the game for the firms' profits on the first day of opening

b What type of game does this represent? What are the key features (for example: Nash Equilibrium, Dominant Strategies)?