On Admissible Strategies in Robust Utility Maximization
AbstractThe existence of optimal strategy in robust utility maximization is addressed when the utility function is finite on the entire real line. A delicate problem in this case is to find a "good definition" of admissible strategies, so that an optimizer is obtained. Under suitable assumptions, especially a time-consistency property of the set of probabilities which describes the model uncertainty, we show that an optimal strategy is obtained in the class of strategies whose wealths are supermartingales under all local martingale measures having a finite generalized entropy with at least one of candidate models (probabilities).
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1109.5512.
Date of creation: Sep 2011
Date of revision: Mar 2012
Publication status: Published in Mathematics and Financial Economics, Vol. 6, No. 2, pp. 77-92, 2012
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-10-09 (All new papers)
- NEP-MIC-2011-10-09 (Microeconomics)
- NEP-UPT-2011-10-09 (Utility Models & Prospect Theory)
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