Based on the information provided, the name of the corresponding criteria for the definition given is "Explanatory scope".
Explanatory scope refers to the ability of a hypothesis to explain a wider or broader range of data compared to its rival hypotheses. In the context of Inference to the Best Explanation, this criterion suggests that the best hypothesis is the one that can provide the most comprehensive and encompassing explanation for the available data.
In the given definition, it is stated that the best hypothesis will explain a wider/broader range of data than its rival hypotheses. This aligns with the concept of explanatory scope, as it emphasizes the need for a hypothesis to account for a larger set of evidence or observations.
Therefore, the correct answer is "Explanatory scope".