On Coherent Variability Measures and Conditioning

Coherent upper and lower previsions are becoming more and more popular as a mathematical model for robust valuations under uncertainty. Likewise, the mathematically equivalent class of coherent risk measures is attracting a lot attention in mathematical finance. In this paper, we show that a misinterpretation of upper previsions demands a closer examination of the basis of the theory of imprecise previsions. As a consequence, we obtain a new interpretation of coherent lower previsions as fair prices, a class of coherent variability measures, and a new type of conditioning for coherent lower previsions. Keywords. Coherent previsions, coherent risk measures, variability measures, fair price, conditioning.

• Type: Conference
• Year: 2005
• Where: ISIPTA
• Authors: Sebastian Maaß
• Keywords: Coherent Lower Previsions, Coherent Risk Measures, Coherent Upper, ISIPTA 2005, Mathematics