Immer wieder kann man beobachten, dass Menschen gleichzeitig Versicherungsverträge ab-schließen und an Lotterien teilnehmen. Gemein haben Versicherungsverträge und Lotterien,dass man aus diesen Transaktionen als Versicherungsnehmer bzw. Lotterieteilnehmer im Mit-tel, genauer: im...

This paper studies collective decision making with regard to convex risk measures: It addresses the question whether there exist nondictatorial aggregation functions of convex risk measures satisfying Arrow-type rationality axioms (weak universality, systematicity, Pareto principle). Herein,...

In this paper portfolio problems with linear loss functions and multivariate elliptical distributed returns are studied. We consider two risk measures, Value-at-Risk and Conditional-Value-at-Risk, and two types of decision makers, risk neutral and risk averse. For Value-at-Risk, we show that the...

This paper studies collective decision making when individual preferences can be represented by convex risk measures. It addresses the question whether there exist non-dictatorial aggregation functions of convex risk measures satisfying the following Arrow-type rationality axioms: a weak form of...