1. (14 pts.) Abram (not Abraham!) and Lot are cousins living in Bethel. They owned large flocks and herds. The land could not support them for their possessions were so great that they were not able to stay together. So Abram and Lot had to decide where to continue their lives. The following is a strategic form representation of the situation. Abram Jordan Canaan Egypt Jordan (-5,-5) (10,5) (15,0) Lot Canaan (5,10) (-10,-10) (5,0) Egypt (0,15) (0,5) (0,0) a) What is the set of players for this game? (1 pt.) b) What are the players' strategy sets? (2 pt.) c) Find all dominant and dominated strategies for each player. (2 pts.) d) What is the set of nash equilibria? (2 pts.) e) Abram allows Lot to choose where to live first. Draw a full corresponding game tree with well labeled decision notes, branches, and payoffs. (5 pts.) f) In the sequential game from part e), where do you expect Lot and Abram to end up? Explain how you arrive to your conclusion. (2 pts.)