Dynamically Consistent α-Maxmin Expected Utility

Patrick Beißner, Qian Lin and Frank Riedel
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Patrick Beißner: Center for Mathematical Economics, Bielefeld University
Qian Lin: Center for Mathematical Economics, Bielefeld University
Authors registered in the RePEc Author Service: Patrick Beißner

No 593, Center for Mathematical Economics Working Papers from Center for Mathematical Economics, Bielefeld University

Abstract: 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.

Keywords: Dynamic consistency; α-maxmin expected utility; Knightian uncertainty; ambiguity attitude (search for similar items in EconPapers)
Pages: 25
Date: 2018-08-16
New Economics Papers: this item is included in nep-mic and nep-upt
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https://pub.uni-bielefeld.de/download/2930436/2930461 First Version, 2017 (application/pdf)

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Persistent link: https://EconPapers.repec.org/RePEc:bie:wpaper:593

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