13-18 mai 2018 Saint Pierre d'Oléron (France)
Reflected BSDEs with interconnected bilateral obstacles associated with a zero-sum stochastic multi-modes switching game
Tingshu Mu  1@  , Said Hamadène  1@  
1 : Laboratoire Manceau de Mathématiques
Le Mans Université : EA3263

We provide existence of a system of multi-dimensional reflected BSDEs with interconnected bilateral barriers. Getting rid of markovian framework, the penalization approach is applied as the main tool of the proof. Next, the associated zero-sum stochastic games are given as well as a study of the optimal strategy.


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