Arbeitspapier

Dynamically consistent alpha-maxmin expected utility

The alpha-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 ». In this paper, we derive a recursive, dynamically consistent version of the »-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.

Sprache
Englisch

Erschienen in
Series: Center for Mathematical Economics Working Papers ; No. 593

Klassifikation
Wirtschaft
Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: General
Criteria for Decision-Making under Risk and Uncertainty
Micro-Based Behavioral Economics: General‡
Thema
Dynamic consistency
alpha-maxmin expected utility
Knightian uncertainty
ambiguity attitude

Ereignis
Geistige Schöpfung
(wer)
Beißner, Patrick
Lin, Qian
Riedel, Frank
Ereignis
Veröffentlichung
(wer)
Bielefeld University, Center for Mathematical Economics (IMW)
(wo)
Bielefeld
(wann)
2017

Handle
URN
urn:nbn:de:0070-pub-29304362
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Beißner, Patrick
  • Lin, Qian
  • Riedel, Frank
  • Bielefeld University, Center for Mathematical Economics (IMW)

Entstanden

  • 2017

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