It is a beautiful day and Jack and Jill are both going to play outside. Each ofthem has to choose whether to play soccer or basketball. Jack likes soccer better thanbasketball, while Jill prefers basketball. But both think that it is even more important toplay together than alone. This is reflected in their payoffs, which are identical for the twoplayers: favorite game with the other gives a payoff of 4, favorite game alone a payoff of2, non-preferred game with the other a payoff of 3, and non-preferred game alone apayoff of 1.

a) Write down the strategic form of this game.

b) Find all (pure-strategy) Nash equilibria.