Three candidates (C1, C2, C3) are located on a single ideological dimension at positions 3, 8, and 11. Five voters have ideal points at positions 1, 4, 7, 10, and 13. The neutral point (status quo) in this one-dimensional issue space is 6. Assume that all votes are cast sincerely. Under the proximity model, which candidate does each of the five voters prefer? Under the directional model, which candidate does each of the five voters prefer? Explain how the proximity and directional models yield the same or different results.

Three candidates (C1, C2, C3) are located on a single ideological dimension at positions 3, 8, and 11. Five voters have ideal points at positions 1, 4, 7, 10, and 13. The neutral point (status quo) in this one-dimensional issue space is 6. Assume that all votes are cast sincerely. Under the proximity model, which candidate does each of the five voters prefer? Under the directional model, which candidate does each of the five voters prefer? Explain how the proximity and directional models yield the same or different results.