英文标题：
《A Class of Solvable Multidimensional Stopping Problems in the Presence
  of Knightian Uncertainty》
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作者：
Luis H. R. Alvarez E. and S\\\"oren Christensen
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最新提交年份：
2019
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英文摘要：
  We investigate the impact of Knightian uncertainty on the optimal timing policy of an ambiguity averse decision maker in the case where the underlying factor dynamics follow a multidimensional Brownian motion and the exercise payoff depends on either a linear combination of the factors or the radial part of the driving factor dynamics. We present a general characterization of the value of the optimal timing policy and the worst case measure in terms of a family of an explicitly identified excessive functions generating an appropriate class of supermartingales. In line with previous findings based on linear diffusions, we find that ambiguity accelerates timing in comparison with the unambiguous setting. Somewhat surprisingly, we find that ambiguity may result into stationarity in models which typically do not possess stationary behavior. In this way, our results indicate that ambiguity may act as a stabilizing mechanism.
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中文摘要：
我们研究了在潜在因素动态遵循多维布朗运动且运动回报取决于因素的线性组合或驱动因素动态的径向部分的情况下，奈特不确定性对模糊厌恶决策者的最佳时机策略的影响。我们给出了最优定时策略值和最坏情况测度的一般特征，即一系列显式识别的过度函数生成一类适当的超鞅。与之前基于线性扩散的研究结果一致，我们发现，与无歧义设置相比，歧义会加速计时。令人惊讶的是，我们发现，在通常不具有平稳行为的模型中，模糊性可能会导致平稳性。这样，我们的结果表明，歧义可能起到稳定机制的作用。
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分类信息：

一级分类：Mathematics        数学
二级分类：Probability        概率
分类描述：Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用：例如中心极限定理，大偏差，随机微分方程，统计力学模型，排队论
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一级分类：Quantitative Finance        数量金融学
二级分类：Mathematical Finance        数学金融学
分类描述：Mathematical and analytical methods of finance, including stochastic, probabilistic and functional analysis, algebraic, geometric and other methods
金融的数学和分析方法，包括随机、概率和泛函分析、代数、几何和其他方法
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