Renou, Ludovic; Schlag, Karl H. - Department of Economics, Leicester University - 2009
This paper introduces the concept of ordient for binary relations (preferences), a relative of the concept of gradients … for functions (utilities). The lexicographic order, albeit not representable, has an ordient. Not only binary relations … representable by differentiable functions have an ordient, but also preferences representable by non-differentiable functions might …