If it is assumed that people vote for the candidate who comes closer to matching their own views, to win votes in a two-person race

a. one candidate will move to the far right of the political spectrum while the other moves to the far left.
b. one candidate will move between the middle and far right end of the political spectrum while the other moves between the middle and the far left end.
c. both candidates will move to the far right end of the political spectrum.
d. both candidates will move to the far left end of the political spectrum.
e. both candidates will move toward the middle of the political spectrum.

e. both candidates will move toward the middle of the political spectrum.

Explanation:

The median voter theorem is a political theory by which the decisions of citizens when voting are divided into two groups which we will call as has traditionally been done: the political right and left.

The citizens of the left will vote to the left and vice versa but there will be a group of voters who have not decided their vote or who have preferences on the part of each of the two ideologies and who, depending on the moment, will vote for one or the other.

the answer would be in this answer. someone already asked the question.  

answer; collectivism;