According to the authors this book is essentially a text for a course on stochastic dominance for beginners as well as a solid reference book for researchers. In my opinion it can be used as a textbook for beginners, in particular for students in economics or for an MBA course on the special topic of stochastic dominance. The book does not assume any prerequisites, and even develops the basics of elementary probability theory in the first chapter. After introducing the main concepts of choice under uncertainty, the main topic of the book, namely stochastic dominance, is considered. The authors concentrate on first-order, second-order, and third-order stochastic dominance and give detailed proofs of all elementary results. I was surprised that some fundamental representations of second-order stochastic dominance are not even mentioned in the book. I could neither find the notion of a mean preserving spread nor the representation theorem of Strassen giving an intuitive interpretation of adding noise. In fact the fundamental paper by Rothschild and Stiglitz (1970), where these representations can be found, is not even mentioned in the book.
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机译：根据作者的说法，这本书实质上是针对初学者的随机优势课程的文本，也是研究人员的可靠参考书。在我看来，它可以用作初学者的教科书，特别是针对经济学专业的学生，或用于有关随机优势的特殊主题的MBA课程。本书没有任何先决条件，甚至在第一章中都开发了基本概率论的基础。在介绍了不确定性下的选择的主要概念之后，本书的主题是随机优势。作者专注于一阶，二阶和三阶随机优势，并给出所有基本结果的详细证明。令我惊讶的是，本书中甚至没有提到二阶随机优势的一些基本表述。我既找不到均值保持传播的概念，也找不到斯特拉森的表示定理来直观地解释增加噪声。实际上，Rothschild and Stiglitz（1970）的基本论文（在这些论文中都可以找到）没有在书中提及。
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