MULTIPLE-PRIORS OPTIMAL INVESTMENT IN DISCRETE TIME FOR UNBOUNDED UTILITY FUNCTION
Résumé
This paper investigates the problem of maximizing expected terminal utility in a discrete-time financial market model with a finite horizon under non-dominated model uncertainty. We use a dynamic programming framework together with measurable selection arguments to prove that under mild integrability conditions, an optimal portfolio exists for an unbounded utility function defined on the half-real line.
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