Primarily following Bridges-Mehta (1995) and Herden-Pallack (2002), this paper is a discussion of the equivalent re-formalizations of the utility representation problem. Our contribution to this widely discussed theory of economic literature is that we consider the representation theorem as a...

In microeconomic analysis functions with diminishing returns to scale (DRS) have frequently been employed. Various properties of increasing quasiconcave aggregator functions with DRS are derived. Furthermore duality in the classical sense as well as of a new type is studied for such aggregator...