Avi and Bailey are friends, and enjoy a night out together in the pub. They each will independently decide to go either to the Turf or the Rose.

Avi mildly prefers the Rose over the Turf and would get a utility of 2 from going to the Rose with Bailey, but only 1 from the Turf.

Bailey has a very strong preference for the Turf and would get a utility of 5 for going to the Turf with Avi, and only 1 for the Rose.

If they go to different pubs, they both receive a utility of 0.

a. Formally express this scenario as a strategic form game.

b. Compute all Nash equilibria (pure and mixed) for the game.

c. Compute the expected utility of each player in each equilibrium.