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Sensitive Discount Optimality in Controlled One-Dimensional Diffusions

Sensitive Discount Optimality in Controlled One-Dimensional Diffusions

In this paper we consider the problem of optimally controlling a diffusion process on a compact interval in one-dimensional Euclidean Space. Under the assumptions that the action space is finite and the cost rate, drift and diffusion coefficients are piecewise analytic, we present a constructive proof that there exist piecewise …