Abstract
This report summarizes some of our recent work (Guo and Tomecek, SIAM J Control Optim 47(1):421–443, 2008; A class of singular control problems and smooth fit principle, 2008) on a new theoretical connection between singular control of finite variation and optimal switching problems. This correspondence not only provides a novel method for analyzing multi-dimensional singular control problems, but also builds links among singular controls, Dynkin games, and sequential optimal stopping problems.
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Guo, X., Tomecek, P. Solving Singular Control from Optimal Switching. Asia-Pac Finan Markets 15, 25–45 (2008). https://doi.org/10.1007/s10690-008-9071-3
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DOI: https://doi.org/10.1007/s10690-008-9071-3