Dynamically Consistent α-Maxmin Expected Utility

Beißner P, Lin Q, Riedel F (2017) Center for Mathematical Economics Working Papers; 593.
Bielefeld: Center for Mathematical Economics.

Diskussionspapier | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
The α-maxmin model is a prominent example of preferences under Knightian uncertainty as it allows to distinguish ambiguity and ambiguity attitude. These preferences are dynamically inconsistent for nontrivial versions of α. In this paper, we derive a recursive, dynamically consistent version of the α-maxmin model. In the continuous-time limit, the resulting dynamic utility function can be represented as a convex mixture between worst and best case, but now at the local, infinitesimal level. We study the properties of the utility function and provide an Arrow- Pratt approximation of the static and dynamic certainty equivalent. We derive a consumption-based capital asset pricing formula and study the implications for derivative valuation under indifference pricing.
Stichworte
Dynamic consistency; α-maxmin expected utility; Knightian uncertainty; ambiguity attitude
Erscheinungsjahr
2017
Band
593
Seite(n)
25
ISSN
0931-6558
Page URI
https://pub.uni-bielefeld.de/record/2930436

Zitieren

Beißner P, Lin Q, Riedel F. Dynamically Consistent α-Maxmin Expected Utility. Center for Mathematical Economics Working Papers. Vol 593. Bielefeld: Center for Mathematical Economics; 2017.
Beißner, P., Lin, Q., & Riedel, F. (2017). Dynamically Consistent α-Maxmin Expected Utility (Center for Mathematical Economics Working Papers, 593). Bielefeld: Center for Mathematical Economics.
Beißner, P., Lin, Q., and Riedel, F. (2017). Dynamically Consistent α-Maxmin Expected Utility. Center for Mathematical Economics Working Papers, 593, Bielefeld: Center for Mathematical Economics.
Beißner, P., Lin, Q., & Riedel, F., 2017. Dynamically Consistent α-Maxmin Expected Utility, Center for Mathematical Economics Working Papers, no.593, Bielefeld: Center for Mathematical Economics.
P. Beißner, Q. Lin, and F. Riedel, Dynamically Consistent α-Maxmin Expected Utility, Center for Mathematical Economics Working Papers, vol. 593, Bielefeld: Center for Mathematical Economics, 2017.
Beißner, P., Lin, Q., Riedel, F.: Dynamically Consistent α-Maxmin Expected Utility. Center for Mathematical Economics Working Papers, 593. Center for Mathematical Economics, Bielefeld (2017).
Beißner, Patrick, Lin, Qian, and Riedel, Frank. Dynamically Consistent α-Maxmin Expected Utility. Bielefeld: Center for Mathematical Economics, 2017. Center for Mathematical Economics Working Papers. 593.
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2019-09-06T09:19:01Z
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