Relationship between cognitive load and self-indulgent behavior in simple task completion Background

A subject in an office-building setting is asked to memorize a list of numbers and to write them down on a whiteboard in another room on the opposite side of the building.

The subject must navigate a series of hallways in order to get from the first room to the other room.

At a certain point midway through the hallways, the subject is approached by a confederate who asks the subject if she would like a treat. The subject is given two choices:


1) a high-nutrition, moderately-tempting snack with a low level of self-indulgence
2) a low-nutrition-value, highly-tempting snack with a high level of self-indulgence


Hypothesis

There exists a relationship between complexity of the memorization task and the choice to accept the high self-indulgence snack, such that:


The subjects are more likely to accept the high self-indulgence snack if the memorization task is more complex and imposes a higher cognitive load.
The greater the cognitive load of an in-process mental task means the greater deficiency the subject will have in being able to resist or "self-censor" behaviors.


Question

Can anyone provide links or references that relate to the above hypothesis and test?
Gailliot et al (2007), didn't do it with a memorization task, but with a variety of other tasks requiring self-control:


  The present work suggests that self-control relies on glucose as a limited energy source. Laboratory tests of self-control (i.e., the Stroop task, thought suppression, emotion regulation, attention control) and of social behaviors (i.e., helping behavior, coping with thoughts of death, stifling prejudice during an interracial interaction) showed that (a) acts of self-control reduced blood glucose levels, (b) low levels of blood glucose after an initial self-control task predicted poor performance on a subsequent self-control task, and (c) initial acts of self-control impaired performance on subsequent self-control tasks, but consuming a glucose drink eliminated these impairments. Self-control requires a certain amount of glucose to operate unimpaired. A single act of self-control causes glucose to drop below optimal levels, thereby impairing subsequent attempts at self-control.



Gailliot, Matthew T., et al. "Self-control relies on glucose as a limited energy source: Willpower is more than a metaphor." Journal of personality and social psychology 92.2 (2007): 325. PDF