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(Analyzing Politics, ch. 9, problem 2) Four friends live together ina college apartment and must work together to clean the commonareas before their parents arrive for Parents? Weekend. For simplicity,suppose that this outcome is dichotomous (the apartment is eitherfully cleaned or it isn?t) and has all the features of the collective actionproblem described in Display 9.1 and the surrounding text. AssumeB > C for each individual.
What are the possible equilibrium outcomes when all four friendsmust contribute to clean the apartment? Which do you think islikely?
What are the possible equilibrium outcomes when only two ofthe four friends must contribute to clean the apartment (i.e., k =2)? Can you predict which outcome will occur without furtherinformation?
How might your prediction change when k = 2 if B increases, orC decreases? What about if B is different for different membersof the group?
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