Following Lancaster, preferences are defined over a set of characteristics, while commodities vectors are transformed into characteristics by a production function. We assume that both the preferences over the characteristics and the production functions are "neoclassical" and we characterize the set utility functions over the consumption space derived as the composition of preferences over characteristics and production functions. We prove that, under regularity conditions, any function can be derived by such a composition. Thus, the theories of characteristics does not impose any restrictions on derived utility functions.
- Derived utility function