Second-order BSDEs with general reflection and Dynkin games under uncertainty
AbstractThe aim of this paper is twofold. First, we extend the results of  concerning the existence and uniqueness of second-order reflected 2BSDEs to the case of upper obstacles. Then, under some regularity assumptions on one of the barriers, similar to the ones in , and when the two barriers are completely separated, we provide a complete wellposedness theory for doubly reflected second-order BSDEs. We also show that these objects are related to non-standard optimal stopping games, thus generalizing the connection between DRBSDEs and Dynkin games first proved by Cvitani\'c and Karatzas . More precisely, we show that the second order DRBSDEs provide solutions of what we call uncertain Dynkin games and that they also allow us to obtain super and subhedging prices for American game options (also called Israeli options) in financial markets with volatility uncertainty
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1212.0476.
Date of creation: Dec 2012
Date of revision: Dec 2012
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-12-10 (All new papers)
- NEP-GTH-2012-12-10 (Game Theory)
- NEP-MIC-2012-12-10 (Microeconomics)
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