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?