Secondary Outcomes (explanation)
See latest pdf document for change in design.
The following previous design description is included for completeness, but is *NOT* what we are currently planning on running.
It may be that people bracket narrowly, but not if they see the broadly bracketed version first. Thus a person who is asked for their WTW for 20 tasks rather than 10, and then asked for their willingness to do 10 tasks before doing the 20, may realize that these questions are the same, and thus broadly bracket the second question. If asked first for their WTW for 10 tasks before 10, and then for their WTW 20 rather than 10, their answer to the "10 before 10" may be different because they did not realize that it is about doing 20 rather than 10 tasks. Thus we want to measure whether the same question leads to different answers depending when people are asked the question.
Since one concern is that people may either use heuristics to make decisions faster ("This is 10 extra tasks, so I'll give the same answer as before") or want to be consistent with their past choices once they realize they are the same ("Oh, 20 vs 10 tasks is the same as my previous answer, I should give the same answer") rather than admit they might have gotten it wrong (Augenblick and Rabin (2018) do find that this effect is quite strong in their experiment, when subjects are reminded of their past choice) this will not cleany establish which choice people think is a mistake, but together with the between-subjects design it should shed light on it.
Ignoring these other concerns (heuristics, desire for consistency), we will use these answers to create a measure of narrow bracketing at the individual level: the degree to which the BROAD answer is different from the NARROW answer, and we'll do so accounting for order effects.
The reason for testing correlation between individual-level narrow bracketing in our context and in risky choices (based on our within-subjects treatment) is straightforward: we want to see if there are people who are more likely to narrow bracket in different types of settings.