Given a set of alternatives with multiple attributes, I characterize the set of preference profiles that are representable by weighted versions of a class of utility functions indexed by a parameter δ  0, where δ ≥ 1 corresponds to the set of Minkowski’s (<CitationRef CitationID="CR34">1886</CitationRef>) metric functions. In...</citationref>

I show that in a multidimensional spatial model, if an agent is risk neutral on each side of the policy space away from his/her ideal point, then his/her utility function is linearly decreasing not in the Euclidean, but rather in the city block distance to the ideal policy of the agent.