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arXiv · 1406.4329

Ergodic BSDEs with jumps and time dependence

Samuel N. Cohen·Victor Fedyashov
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Abstract

In this paper we look at ergodic BSDEs in the case where the forward dynamics are given by the solution to a non-autonomous (time-periodic coefficients) Ornstein-Uhlenbeck SDE with L\'evy noise, taking values in a separable Hilbert space. We establish the existence of a unique bounded solution to an infinite horizon discounted BSDE. We then use the vanishing discount approach, together with coupling techniques, to obtain a Markovian solution to the EBSDE. We also prove uniqueness under certain growth conditions. Applications are then given, in particular to risk-averse ergodic optimal control and power plant evaluation under uncertainty.

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Samuel N. Cohen, Victor Fedyashov. 2014-06-17. Ergodic BSDEs with jumps and time dependence. https://arxiv.org/abs/1406.4329

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