A discrete symmetry of a preference relation is a mapping from the domain of choice to itself under which preference comparisons are invariant; a continuous symmetry is a one-parameter family of such transformations that includes the identity; and a symmetry field is a vector field whose...

We use data on wages and rents in different U.S. cities to assess the amenity effects on production and consumption of cultural diversity as measured by diversity of countries of birth of city residents. We show that US-born citizens living in metropolitan areas where the share of foreign-born...