A note on the median voter theory and voter alienation

This note explores the consequences of movement of candidates toward the center of the political distribution. Uniform and normal distributions are considered. Movement toward the center of the political distribution can increase or decrease the number of votes received by a candidate. However, even if the candidate loses votes by such a move, as long as the distribution is denser in the center than in the tails, the candidate will benefit relative to his/her opponent. If both the candidate and his/her opponent move toward the center, the individual who makes the greater move benefits at the expense of the other individual.