Question 12.51
23. For a two-dimensional policy space, there are four voters with ideal points (1, 0), (0, 1), , and . Candidate announces a policy position of (0, 0). The points are plotted in the accompanying figure. Can Candidate do any better than to announce (0, 0) as his or her policy position? Explain.
23.
No, cannot do better. However, could still get two of the voters to vote for him by announcing a policy position closer to two of the voters. For example, by announcing , voters at (1, 0) and (0, 1) would vote for and the other voters for .