1. (25 points) Consider the games of Prisoner's Dilemma, Assurance, Chicken and Battle of Cultures discussed in the lecture on simultaneous move games. While the structure of these games can "fit" many situations, in this exercise think of them as games applying to teamwork. Specifically, imagine there are two players working on a future assignment for EFB337 they have to submit jointly as a two-person group assignment. However, the process of completing this assignment can be modelled as a game in which each player has two strategies, one in which they "Shirk" and do not contribute much to the assignment and one in which they "Work" and contribute a lot of effort into the assignment. (i) Describe the teamwork game in two different forms, choosing any two structures from Prisoner's dilemma, Assurance, Chicken and Battle of Cultures. Each case obviously describes a different type of teamwork. Your description should clearly capture the nature of the interaction and the context for each game in an intuitive and meaningful way. (ii) In your chosen cases discuss any "solutions" to the teamwork problem. That is, are there any strategic moves (as defined in chapter 9) that can be made to ensure that both players choose to work hard? Can you think of other ways in which the problem can be resolved? (Hint: Think about focal points, mechanisms relating to repeated games, reputation, strategic moves and credibility. Apart from discussions in Chapter 4 and 9 reading a bit wider and deeper into the textbook will help. For example, the chapter 10 on the prisoner's dilemma and chapter 11 on collective action games are also relevant). Based on your experience/intuition, describe an alternative way of characterizing the teamwork game. That is, create a game that fits your view of how the teamwork situation plays out (distinct from any of the standard structures discussed above)