We provide a set of simple and intuitive axioms that allow for a direct and constructive proof of the Choquet Expected Utility representation for decision making under uncertainty.

The concept of a non-extreme-outcome-additive capacity (neo-additive capacity ) is introduced. Neo-additive capacities model optimistic and pessimistic attitudes towards uncer-tainty as observed in many experimental studies. Moreover, neo-additive capacities can be applied easily in economic...