In this paper we derive a numerical representation for general complete preferences respecting the following two principles: a) more is better than less, b) averages are better than extremes. To be able to distinguish between risk and ambiguity we work in an Anscombe-Aumann framework. Our main...

This work provides an axiomatic framework to the concept of conditional preference orders based on conditional sets. Conditional numerical representations of such preference orders are introduced and a conditional version of the theorems of Debreu about the existence of such numerical...