In response to the weaknesses of the Value-at-Risk concept, axiomatic risk measurement approaches have been proposed in the literature as an alternative. Mario Brandtner characterizes the underlying understandings of risk associated with these approaches and presents techniques for their implementation in determining specific risk measures. He further demonstrates that these risk measures, originally designed for regulatory purposes, tend to have a restrictive inclination towards edge solutions when applied to identify optimal decisions. The theory of monetary and regulatory risk measurement has undergone significant changes since the early 1990s. Mario Brandtner uses these developments as a starting point for decision-theoretic analyses, addressing fundamentally the following two areas: (1) The concept of acceptance, which has hardly been discussed so far.