Optimal dividend payment under a ruin constraint is a two objective control problem which-in simple models-can be … levels and a closed formula for the corresponding dividend value. Using the running allowed ruin probabilities, a simple test ….2.2, also yields optimal dividend strategies which differ from those in all other methods, and Lagrange gaps are present here. …

, dividend strategies are considered which are based on barrier sequences. In our continuous state model, optimal barriers can be … computed with the Lagrange method leading to a backward recursion scheme. The resulting dividend strategies will not always be …