TY  - GEN
AB  - Reflected diffusions naturally arise in many problems from applications ranging
from economics and mathematical biology to queueing theory. In this paper we consider
a class of infinite time-horizon singular stochastic control problems for a general onedimensional
diffusion that is reflected at zero. We assume that exerting control leads to a
state-dependent instantaneous reward, whereas reflecting the diffusion at zero gives rise to a proportional cost with constant marginal value. The aim is to maximize the total expected reward, minus the total expected cost of reflection. We show that depending on the properties of the state-dependent instantaneous reward we can have qualitatively different kinds of optimal strategies. The techniques employed are those of stochastic control and of the
theory of linear diffusions.
DA  - 2017
KW  - reflected one-dimensional diffusions
KW  - singular stochastic control
KW  - variational inequality
KW  - optimal stopping
KW  - optimal dividend
KW  - optimal harvesting
LA  - eng
PY  - 2017
SN  - 0931-6558
SP  - 26-
TI  - On a Class of Singular Stochastic Control Problems for Reflected Diffusions
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29304334
Y2  - 2024-11-24T15:50:35
ER  -