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.

Language
Englisch

Bibliographic citation
Series: Center for Mathematical Economics Working Papers ; No. 593

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

Event
Geistige Schöpfung
(who)
Beißner, Patrick
Lin, Qian
Riedel, Frank
Event
Veröffentlichung
(who)
Bielefeld University, Center for Mathematical Economics (IMW)
(where)
Bielefeld
(when)
2017

Handle
URN
urn:nbn:de:0070-pub-29304362
Last update
10.03.2025, 11:42 AM CET

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Object type

  • Arbeitspapier

Associated

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

Time of origin

  • 2017

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