A .sherwoman and a .sherman must decide whether to .sh for salmon or hunt whale. If both .sh, both receive 1; if both hunt whale, both receive 4. If one .shes and one hunts whale, the .sherperson gets 0 and the whale hunter gets -8.
1. Find the normal form of this game.
2. Find all the Nash equilibrium of this game.
3. Are there any dominated strategies?
4. What is the Subgame Perfect Nash equilibrium if the .sherwoman moves .rst, and the .sherman observes her move and then chooses what to do. What is the Subgame Perfect outcome?