We establish a class of fully nonlinear conditional expectations. Similarly to the usage of linear expectations when a probabilistic description of uncertainty is present, we observe analogue quantitative and qualitative properties. The type of nonlinearity captures the agents sentiments of...

Abandoning an objective function with multiple targets and adopting a single mandate can be an effective way for a central bank to overcome the classic time-inconsistency problem. We show that the choice of a particular single mandate depends on an economy's level of trade openness and the...