Nested variational inequalities and related optimal multiple startingstopping problems for symmetric Markov processes

Teruo Tanaka · Journal of Information and Optimization Sciences · 2005

This paper is concerned with optimal starting-stopping problems for continuous time symmetric Markov processes with multiple rules. In order to characterize an optimal value function and construct an optimal starting-stopping rule, nested variational inequalities in terms of Dirichlet forms associated with the symmetric Markov process are introduced.

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