We study the concept of financial bubbles in a market model endowed with a set ${\mathcal {P}}$ of probability measures, typically mutually singular to each other. In this setting, we investigate a dynamic version of robust superreplication, which we use to introduce the notions of bubble and robust fundamental value in a way consistent with the existing literature in the classical case ${\mathcal {P}}=\{{\mathbb {P}}\}$ . Finally, we provide concrete examples illustrating our results.

中文翻译：

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模型不确定性下的金融资产价格泡沫

我们研究了一种市场模型中的金融泡沫概念，这种模型具有一组$ {\ mathcal {P}} $概率度量，通常相互之间是奇异的。在这种情况下，我们研究了鲁棒超复制的动态版本，我们用它以与经典案例$ {\ mathcal {P}} = \ {{ \ mathbb {P}} \} $。最后，我们提供具体示例说明我们的结果。