A Connection between Singular Stochastic Control and Optimal Stopping

被引:0
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作者
Fred Espen Benth
Kristin Reikvam
机构
[1] Centre of Mathematics for Applications,
[2] Department of Mathematics,undefined
[3] University of Oslo,undefined
[4] P.O. Box 1053,undefined
[5] Blindern,undefined
[6] N-0316 Oslo,undefined
[7] Department of Economics and Business Administration,undefined
[8] Agder University College,undefined
[9] Serviceboks 422,undefined
[10] N-4604 Kristiansand,undefined
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关键词
Singular stochastic control; Optimal stopping; Variational inequalities; Viscosity solutions;
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摘要
We show that the value function of a singular stochastic control problem is equal to the integral of the value function of an associated optimal stopping problem. The connection is proved for a general class of diffusions using the method of viscosity solutions.
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页码:27 / 41
页数:14
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