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Merging of Opinions under Uncertainty

Monika Bier and Daniel Engelage

No 11/2010, Bonn Econ Discussion Papers from University of Bonn, Bonn Graduate School of Economics (BGSE)

Abstract: We consider long-run behavior of agents assessing risk in terms of dynamic convex risk measures or, equivalently, utility in terms of dynamic variational preferences in an uncertain setting. By virtue of a robust representation, we show that all uncertainty is revealed in the limit and agents behave as expected utility maximizer under the true underlying distribution regardless of their initial risk anticipation. In particular, risk assessments of distinct agents converge. This result is a generalization of the fundamental Blackwell-Dubins Theorem, cp. [Blackwell & Dubins, 62], to convex risk. We furthermore show the result to hold in a non -time-consistent environment.

Keywords: Dynamic Convex Risk Measures; Multiple Priors; Uncertainty; Robust Representation; Time-Consistency; Blackwell-Dubins (search for similar items in EconPapers)
JEL-codes: C61 C65 D81 (search for similar items in EconPapers)
Date: 2010
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