Optimality of a refraction strategy in the optimal dividends problem with absolutely continuous controls subject to Parisian ruin
研究了巴黎破产规则下，采用绝对连续分红策略的de Finetti最优分红问题，证明了折射策略的最优性并刻画了最优阈值，分析了巴黎实施延迟率对阈值的影响。
We consider de Finetti's optimal dividends problem with absolutely continuous strategies in a spectrally negative Lévy model with Parisian ruin as the termination time. The problem considered is essentially a generalization of both the control problems considered by Kyprianou et al. (2012) and by Renaud (2019) . Using the language of scale functions for Parisian fluctuation theory, and under the assumption that the density of the Lévy measure is completely monotone, we prove that a refraction dividend strategy is optimal and we characterize the optimal threshold. In particular, we study the effect of the rate of Parisian implementation delays on this optimal threshold.