We introduce two natural types of asymmetric single-peaked preferences, which we name biased- above and biased-below, depending on whether the asymmetry (or preference-bias) favors alternatives above or below the peak. We define a rich family of utility functions, the generalized distance-metric...

When preferences are single-peaked (Black (1948),Black et al. (1958)) or group separable Ballester and Haeringer (2011), majority voting equilibria exist. Group separability has probably not received as much attention as single-peak separability because there are no intuitive assumptions about...