Social Choice Social choice is an area of discrete mathematics that includes apportionment and voting methods.
Apportionment refers to assigning representatives based on the relative sizes of a larger group.
When representatives are assigned, larger groups should have more representation. Here, the freshmen and seniors would have three representatives each and the sophomores and juniors would have two representatives each, with one representative the equivalent of 10 students. Very rarely do the numbers work out so nicely in real apportionment situations. The problems below are more realistic and look at a variety of apportionment algorithms. Voting methods are also included here as a social choice topic.