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Impulse Control of Multidimensional Jump Diffusions

Impulse Control of Multidimensional Jump Diffusions

This paper studies regularity properties of the value function for an infinite-horizon discounted cost impulse control problem, where the underlying controlled process is a multidimensional jump diffusion with possibly “infinite-activity” jumps. Surprisingly, despite these jumps, we obtain the same degree of regularity as for the diffusion case, at least when …