Abstract
AbstractIt is proved that monetary utility functions that are commonotonic and time-consistent are conditional expectations. We also give additional results on atomless and conditionally atomless probability spaces. These notions describe that in a filtration, there are many new events at each time step.
Publisher
Springer Science and Business Media LLC
Subject
Statistics, Probability and Uncertainty,Finance,Statistics and Probability
Reference22 articles.
1. Artzner, Ph., Delbaen, F., Eber, J.-M., Heath, D.: Thinking coherently. Risk 11, 68–71 (1997)
2. Artzner, Ph., Delbaen, F., Eber, J.-M., Heath, D.: Characterisation of coherent risk measures. Math. Finance 9, 145–175 (1999)
3. Bellini, F., Bignozzi, V., Delbaen, F., Ziegel, J.: Risk measures with the CxLS property. Finance Stoch. 18, 433–453 (2014)
4. Bellini, F., Koch-Medina, P., Munari, C., Svindland, G.: Law-invariant insurance pricing and its limitations. Insur. Math. Econ. 98, 83–91 (2021)
5. Castagnoli, E., Maccheroni, M., Marinacci, M.: Choquet insurance pricing: a caveat. Math. Finance 14, 481–485 (2004)
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