We take the perspective of an econometrician who wants to determine which of two experiments provides higher expected utility but only knows the decisions under each experiment. To compare these decisions, the econometrician must make inferences about what the experiment might have been for each set of decisions. We provide a necessary and sufficient condition that identifies when every experiment consistent with one set of decisions has a higher value of information than every experiment consistent with the other set of decisions.

中文翻译：

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未知实验下的决策比较

我们从一位计量经济学家的角度出发，他想确定两个实验中哪一个提供更高的预期效用，但只知道每个实验下的决策。为了比较这些决策，计量经济学家必须对每组决策的实验结果进行推断。我们提供了一个充分必要条件，用于确定与一组决策一致的每个实验何时比与另一​​组决策一致的每个实验具有更高的信息价值。