Carrboro has three equal-sized groups of people: (1) type A people consistently prefer more police protection to less; (2) type B people prefer high levels of police protection to low levels and they prefer low levels to medium levels; (3) type C people prefer medium levels to low levels, which they in turn prefer by a modest amount to high levels. (a) Which types of people have single-peaked preferences? Which have multi-peaked preferences? (b) Will majority voting generate consistent outcomes in this case? Why or why not? Solution (a) Which types of people have single-peaked preferences? Which have multi-peaked preferences? Type A and Type C people have single peak. Type A people only prefer high level, so, high level but single peak is achieved. Type C people have preference of medium / moderate level to high or low level so; again there will be one peak of modest/ medium level. Type B people have multiple peaks. a peak of high as well as low level . (b) Will majority voting generate consistent outcomes in this case? Why or why not? Majority voting in this case will give consistent outcomes in this case because people will identify their post preferred choice and accordingly they will vote. For example, if high level and medium level are the only choice then A &B will vote for High level and high level will win. If high, medium and low level is the option then A & B will again vote for high level and high level will win. So, it will be consistent with the result..